Detective Solves Strange House Mystery

You are a successful private detective.

You have been hired
to investigate an old house
where there are strange noises.

At each stage of your investigation
you will need to answer a question.
To start press the button
Whether you get the answer correct
will determine what happens to you.

Beware, if you get too many questions wrong
your story will not end well!

To begin your investigation press the button

The strange noises
have always been heard at night
so you decide this is the best time
to visit the house to investigate.

You drive up to the gate
and get out of the car.

As you walk towards the house
you notice that there is a full moon
and hope that this is not a bad omen.

Press the button

Question 1 a

The heights (in centimeters) of 8 plants were measured.
The results are shown below.

12.1, 18.4, 16.5, 11.5, 17.9, 18.0, 5.8, 23.4

Calculate the mean height of the plants.

14.7 cm 103.1 cm 15.5 cm 17.2 cm

Correct answer

Press the button

Wrong answer

Press the button

You think that it is probably safer
to look for a side entrance.

You begin to walk carefully
around the side of the house
looking for another way in.

Press the button

Question 2 a

Lucy recorded her scores (out of 10) in spelling tests at school.
The scores are shown below.

5, 6, 8, 9, 6, 7, 9, 8, 9

What is Lucy’s median score?

9 7 6 8

You approach the front door.

You turn the handle
and the door creaks open.
It is dark inside.

As you step inside
a trapdoor opens
and you plunge downwards.

Press the button

Question 2 b

Gordon records his times (in seconds) for running 100 m.
They are given below.

14.1, 14.2, 13.9, 14.1, 13.7, 13.5, 13.4

What is Gordon’s median time?

13.8 seconds 14.0 seconds 14.1 seconds 13.9 seconds

You find the old servant’s entrance
at the side of the house.
It is overgrown
and looks like it hasn’t been used for years.

You try the handle and it turns,
the door creaks open
and you enter into the kitchen.

Press the button

Question 3 a

Josie did a survey of pocket money (in $) amongst her friends.
The results of her survey are given below.

10, 5, 5, 10, 20, 4, 5, 15

Find the median amount of pocket money.

$9.25 $15 $7.50 $10

To the side of the house
is a cemetery.

At this time of night it is spooky,
but you must go on.

Press the button

Question 3 b

The ages of a group of students are given below.

10, 15, 10, 11, 13, 15, 15, 15

Find the median age.

14 12 13 15

It is pitch black,
you can’t see your hand
in front of your face.

You take out your torch
and begin to look around.

In the corner you see a coffin.

Press the button

Question 3 c

The scores of a group of students in an English exam are given below.

82, 69, 40, 90, 55, 65, 78, 79, 58, 64

Find the median score.

68 67 60 65

As you land you feel sharp pains
all over.

You have fallen into a pit of spikes!

Press the button

You walk through the kitchen
and into the hallway.

Suddenly there is a loud clatter above.

Startled, you look up
and a colony of bats fly past your face.

Press the button

Question 4 a

Kieran asked his friends how many brothers and sisters they have.

1, 2, 0, 0, 1, 3, 1, 2, 2, 4

What is the mode number of brothers and sisters?

1 and 2 1.5 2 1 and 3

You walk over to the door
on the other side of the kitchen.

As you reach for the handle you
hear a spine-tingling scream
from the other side of the door.

Press the button

Question 4 b

The ages of a group of students are given below.

10, 14, 11, 12, 14, 13, 10, 15

What is the mode age?

12 10 and 14 13 12 and 14

You hear a scraping sound nearby.

You look around and see the earth
on one of the graves move slightly.

Then a hand pushes up
out of the ground.

Press the button

Question 4 c

Frank did a survey of pocket money (in $) among his friends.
The results of his survey are given below.

10, 5, 5, 10, 20, 4, 2, 15

What is the mode of the data?

$10 and $20 $15 $7.50 $5 and $10

There is an open grave.

As you walk past it
you are pushed hard from behind.

You fall into the grave
and see a figure standing over you
begin to fill the grave in with you in it!

Press the button

You walk over the coffin
and see that the lid is off
and it is empty.

You hear faint footsteps
coming towards the room.

Press the button

Question 4 d

The temperature (in ºC) in a classroom was recorded daily.

19, 20, 18, 20, 19, 21, 18, 19, 22, 20

What is the mode of the temperatures?

19.5ºC 19 and 20ºC 19 and 21ºC 20ºC

You hear a faint noise behind.

You turn around
and see a man standing in front of you.

His face seems too smooth and white.
The sharp fangs convince you of what he is.

Press the button

You hear strange sounds
coming from upstairs.

You walk towards the stairs
to investigate.

Press the button

Question 5 a

The number of people in each house on a street is given below.
Number of people Frequency
0 2
1 5
2 7
3 6
4 4
5 3
6 1

Calculate the mean number of people in a house.

10.6 2.6 2.7 4

In the center of one wall
is a large fireplace.
You walk over to it
and examine the intricate carving.

One of the panels is loose.
As you press it a secret door opens
in the back of the fireplace.

Press the button

Question 5 b

The number of A’s that a class got on a report is given below.
Number of A’s Number of children
0 5
1 6
2 4
3 4
4 2
5 3
6 5

Calculate the mean number of A’s.

2.7 2.9 11.3 4.1

Against your better judgement
you open the door and walk into the hallway.

You see a man crouched over.
Before your eyes he changes into a wolf.

Press the button

Question 5 c

The number of brothers and sisters that a class have is given below.
Number of
Frequency
brothers and sisters
0 6
1 8
2 7
3 5
4 2
5 1

Calculate the mean number of brothers and sisters.

8.3 4.8 1.9 1.7

Then you hear a piercing howl.

The kitchen door burst open,
knocking you backwards.

There in front of you is a wolf
as tall as you are.

Before you can react, it attacks you!

Press the button

A women pushes up through the soil
and climbs out of the grave.

You turn and run away
as quickly as your legs can carry you.

Press the button

Question 5 d

The number of goals scored by a soccer team over a season
is given below.
Number of goals Number of matches
0 6
1 4
2 5
3 1
4 2
5 1

Calculate the mean number of goals scored.

3.2 5 1.6 1.9

A women pushes up through the soil
and climbs out of the grave.

You are so shocked
you cannot move.

She grabs at you

Press the button

You look around
and see a small chamber
to your side.

You quickly hide inside.

Press the button

Question 5 e

The number of pets that a group of children have is given below.
Number of pets Frequency
0 6
1 7
2 5
3 5
4 1
5 2
6 1

Calculate the mean number of pets.

3.9 7.4 2.1 1.9

You hear a faint noise behind.

You turn around
and see a man stood in front of you.


Press the button

You creep upstairs
trying not to make any noise.

You are halfway up
when a ghost appears at the top of the stairs.

Press the button

Question 6 a

The number of people in each house on a street is given below
0 2
1 5
2 7
3 6
4 4
5 3
6 1

Find the median number of people in a house.

14.5 2.5 2 and 3 2

You creep upstairs
trying not to make any noise.

On the landing at the top of the stairs
you see a painting of a young woman
hanging on the wall.

You are sure you see the eyes
in the painting move.

Press the button

Question 6 b

The number of people in each house on a street is given below.
0 2
1 5
2 7
3 6
4 4
5 3
6 1

Find the median number of people in a house.

14.5 2.5 2 and 3 2

You step into the room beyond.

Inside the room
a group of women dressed like witches
stand around in a circle.

Press the button

Question 6 c

The number of A’s that a class got on a report is given below.
Number of A’s Number of children
0 5
1 6
2 4
3 4
4 2
5 3
6 5

Find the median number of A’s.

3 15 2 1

You step forward to look inside.

The floor beneath your feet crumbles
and you fall forward.

You land with a bump.

You look around and can see
that you are trapped
at the bottom of a deep pit!

Press the button

You can’t believe what you saw.

This only happens in horror stories,
not in real life,
but there where a few minutes ago
there was a man is now a huge wolf.

Press the button

Question 6 d

The number of brothers and sisters that a class have is given below.
Number of
Frequency
brothers and sisters
0 6
1 8
2 7
3 5
4 2
5 1

Find the median number of brothers and sisters.

2 15 2.5 1

The wolf lunges at you
and sinks it’s teeth into your arm.

You pull away
and run back through the door,
closing it in the approaching wolf’s face.

You run outside and get back to your car.

You have escaped,
but you have been bitten.
What will happen to you
on the next full moon!

Press the button

You see others starting to come up
out of the graves all around you.

You continue running.

Press the button

Question 6 e

The number of goals scored by a soccer team over a season
is given below.
Number of goals Number of matches
0 6
1 4
2 5
3 1
4 2
5 1

Find the median number of goals scored.

10 1 0 2.5

You see others starting to come up
out of the graves all around you.

You see an old stone tomb nearby.
You run towards it.
There is a big rusty latch on the door.
With a hard shove
you lift the latch and go inside.

As you pull the door closed
you hear the latch drop.
You are now trapped inside the tomb!

Press the button

A man enters the room.


He walks slowly over
to where you are hiding
and greets you.

Press the button

Question 6 f

The number of pets that a group of children have is given below.
Number of pets Frequency
0 6
1 7
2 5
3 5
4 1
5 2
6 1

Find the median number of pets.

3 14 2 1

A man enters the room.


He says that you are unfortunate
to have wondered into his home.

Press the button

The ghost begins circling around you
as if examining you.

You do not know what to do.

Press the button

Question 7 a

The heights of a group of children are given below.
Height, h (cm) Frequency
120 ≤ h < 130 7
130 ≤ h < 140 6
140 ≤ h < 150 4
150 ≤ h < 160 5
160 ≤ h < 170 3

Calculate an estimate of the mean height of the children.

136.4 cm 145 cm 707 cm 141.4 cm

The ghost flies directly at you.

You step back and fall down the stairs,
landing at the bottom with a crash.

Press the button

Question 7 b

The speed of vehicles on a motorway is given below.
Speed, s (mph) Number of vehicles
50 ≤ s < 60 5
60 ≤ s < 70 9
70 ≤ s < 80 10
80 ≤ s < 90 2
90 ≤ s < 100 1

Calculate an estimate of the mean speed of the vehicles.

375 mph 75 mph 64.4 mph 69.4 mph

You lift the painting off the wall.

There is a hole in the wall behind the painting
and through the hole you can see a room.

The room is dark,
but you can faintly see
two small figures moving.

Press the button

Question 7 c

The time that people waited in a doctor’s surgery are given below.
Time, t (mins.) Number of people
0 ≤ t < 10 9
10 ≤ t < 20 7
20 ≤ t < 30 6
30 ≤ t < 40 2
40 ≤ t < 50 1

Calculate an estimate of the mean waiting time.

83 mins. 25 mins. 16.6 mins. 11.6 mins.

You lift the painting
to see what is behind it.

As you do so,
a trapdoor opens up below you
and you fall downwards.

You land with a heavy bump.

You look around
and see that you are trapped in a dungeon cell!

Press the button

One of the witches raises her hands
and a huge fire erupts
in the middle of the circle of witches.

A strong wind rushes around the room
and candles ignite all over the room.

Press the button

Question 7 d

The distance that a group of children travel to school is given below.
Distance, d (km) Number of children
0≤d<2 10
2≤d<4 8
4≤d<6 4
6≤d<8 3
8 ≤ d < 10 2

Calculate an estimate of the mean distance.

3.4 km 2.4 km 18.6 km 5 km

One of the witches turns and looks at you.

She points her long bony finger at you
and you turn into a toad!

Press the button

The wolf sees you.

It sniffs the air
and lets out a low rumbling growl.

Press the button

Question 7 e

50 ≤ s < 60 5
60 ≤ s < 70 9
70 ≤ s < 80 10
80 ≤ s < 90 2
90 ≤ s < 100 1

Calculate an estimate of the mean speed of the vehicles.

64.4 mph 69.4 mph 375 mph 75 mph

You manage to outrun them all
and see the gate of the cemetery.

You run towards it.

Press the button

Question 7 f

0 ≤ t < 10 9
10 ≤ t < 20 7
20 ≤ t < 30 6
30 ≤ t < 40 2
40 ≤ t < 50 1

Calculate an estimate of the mean waiting time.

83 mins. 25 mins. 16.6 mins. 11.6 mins.

They are all around you.

You see an old stone tomb nearby.
You run towards it.
There is a big rusty latch on the door.
With a hard shove
you lift the latch and go inside.

As you pull the door closed
you hear the latch drop.
You are now trapped inside the tomb!

Press the button

He can see that you are terrified.

He tells you that you are safe
as he has already eaten tonight.

Press the button

Question 7 g

0≤d<2 10
2≤d<4 8
4≤d<6 4
6≤d<8 3
8 ≤ d < 10 2

Calculate an estimate of the mean distance.

18.6 km 5 km 2.4 km 3.4 km

He says that you are unfortunate
to have wondered into his home.

Press the button

Then you remember your camera.
You take it out
and begin taking pictures of the ghost.

You check the camera’s display
to make sure that it is capturing the image.
The picture is perfect.

Press the button

Question 8 a

120 ≤ h < 130 7
130 ≤ h < 140 6
140 ≤ h < 150 4
150 ≤ h < 160 5
160 ≤ h < 170 3

Find the class interval that contains the median height.

130 ≤ h < 140 cm 135 cm 140 ≤ h < 150 cm 120 ≤ h < 130 cm

The whole house begins to shake.

The walls crack and the floorboards creak.

Large pieces of plaster fall
from the ceiling and walls.

Press the button

Question 8 b

120 ≤ h < 130 7
130 ≤ h < 140 6
140 ≤ h < 150 4
150 ≤ h < 160 5
160 ≤ h < 170 3

Find the class interval that contains the median height.

135 cm 130 ≤ h < 140 cm 140 ≤ h < 150 cm 120 ≤ h < 130 cm

The ghost floats down the stairs
and stops above you.

It looks at you as if it is examining you.

Press the button

Question 8 c

50 ≤ s < 60 5
60 ≤ s < 70 9
70 ≤ s < 80 10
80 ≤ s < 90 2
90 ≤ s < 100 1

Find the class interval that contains the median speed.

50 ≤ s < 60 mph 70 ≤ s < 80 mph 60 ≤ s < 70 mph 65 mph

Paintings fly off the walls
and ornaments fly off the shelves
and shoot towards you.

You turn and run out through the front door.

You do not stop running
until you get to your car.

With your hands shaking
you manage to start the car and drive off.

You have had enough of this adventure!

Press the button

As you look more closely
you see that they are small hideous creatures.

They turn and look at you.
They have big eyes and pointed teeth.

Press the button

Question 8 d

0 ≤ t < 10 9
10 ≤ t < 20 7
20 ≤ t < 30 6
30 ≤ t < 40 2
40 ≤ t < 50 1

Find the class interval that contains the median waiting time.

10 ≤ t < 20 mins. 15 mins. 20 ≤ t < 30 mins. 0 ≤ t < 10 mins.

As you look more closely
you see that they are small hideous creatures.

They turn and look at you.
They have big eyes and pointed teeth.

They rush towards you.

You turn and run down the stairs
and out through the front door.

You do not wish to find out what they are!

Press the button

Another of the witches turns to you.

She asks who you are
and what you are doing in their house.

Press the button

Question 8 e

0≤d<2 10
2≤d<4 8
4≤d<6 4
6≤d<8 3
8 ≤ d < 10 2

Find the class interval that contains the median distance.

0 ≤ d < 2 km 2 ≤ d < 4 km 3 km 4 ≤ d < 6 km

The witch turns towards you
and points a long bony finger at you.

A ball of fire flies directly towards you.

You jump out of the way
and the door frame burst into flames.


You have had enough excitement for one night!

Press the button

The wolf walks slowly towards you,
its massive jaws open in a snarl.

Press the button

Question 8 f

50 ≤ s < 60 5
60 ≤ s < 70 9
70 ≤ s < 80 10
80 ≤ s < 90 2
90 ≤ s < 100 1

Find the class interval that contains the median speed.

50 ≤ s < 60 mph 70 ≤ s < 80 mph 60 ≤ s < 70 mph 65 mph

You turn and run back through the door
into the kitchen.

You hear the wolf coming after you.

You slam the door
in the approaching wolf’s face
and run outside.

until you get back to your car.

You decide to quit this investigation!

Press the button

Suddenly one of them jumps out
in front of you.

You pick up a piece of wood
lying on the ground
and hit it across the head.

It’s head comes off
and it collapses on the ground.

Press the button

Question 8 g

0 ≤ t < 10 9
10 ≤ t < 20 7
20 ≤ t < 30 6
30 ≤ t < 40 2
40 ≤ t < 50 1

Find the class interval that contains the median waiting time.

20 ≤ t < 30 mins. 0 ≤ t < 10 mins. 10 ≤ t < 20 mins. 15 mins.

You run through the gate
and out into the brightly lit street.

You look behind
to see that none have followed you.

You have had enough for one night,
it’s time to go home.

Press the button

You tell him that you have
so many questions.

You sit down on a chair and talk for hours,
his tales are enchanting.

Late into the night
you ask what is going to happen to you
now that you know of his existence.

Press the button

Question 8 h

0≤d<2 10
2≤d<4 8
4≤d<6 4
6≤d<8 3
8 ≤ d < 10 2

Find the class interval that contains the median distance.

2 ≤ d < 4 km 3 km 0 ≤ d < 2 km 4 ≤ d < 6 km

He tells you that he never stays
in one place for long.

By tomorrow he will be gone
and so it is safe for him to let you go.

You bid goodbye and leave.

What an adventure you have had!

Press the button

You leave the house
and return to your car.

With the first conclusive proof
that ghosts exist you become a sensation.

You write a book about your adventure
and include lots of pictures from the evening.

The book becomes a best-seller
and you make a fortune.

Press the button

Suddenly the ghost disappears.

You walk back to your car
looking through the pictures
that you have taken.

Another successful investigation.

Press the button

Quickly you take out your camera
and take pictures of the ghost.


You decide that it is best to leave.

You walk back to your car
pleased with yourself.


Press the button

You decide it is best to get out
before the house collapses around you.

You run out through the front door
and back to your car.

You have had enough excitement
for one night.

Press the button

Then you remember your camera.
You take it out
and begin taking pictures of the ghost.


You leave and walk back to your car
pleased with yourself.


Press the button

The ghost begins flying towards you
as if trying to attack you.

You don’t know
whether it is able to harm you,
but you decide it is best to leave anyway.

You go out through the front door
and back to your car.

You have had enough excitement
for one night.

Press the button

The creatures run towards you
and begin to attack.

You knock one to the ground
and quickly overpower the other.

You see some rope nearby
and tie them both up.


Press the button

The creatures run towards you.


You do not wish to find out what they are!

Press the button

You explain why you are there
and then tell them
that you are impressed with their skills.

They show you how to do
some magic yourself.

You thank them and leave.

Not only have you solved the mystery,
but you have learned some interesting tricks too.

Press the button

You explain why you are there.

She says that nobody can know about them
and then she points a long bony finger at you.

A ball of fire flies directly towards you.

You jump out of the way
and the door frame burst into flames.

and out through the front door
and do not stop running until you get to your car.

Press the button

You see a thick chain lying on the floor.

As the wolf lunges at you,
you step aside
and wrap the chain around its neck.

You fasten the chain
to a large heavy radiator on the wall
and stand clear of the animal.

You have captured a werewolf.
You will be famous!

Press the button

You turn and run back through the door
into the kitchen.

You hear the wolf coming after you.

You slam the door
in the approaching wolf’s face
and run outside.

until you get back to your car.

Lucky escape!

Press the button

You turn back towards the others.

One by one you kill them all
the same way.

Exhausted you return to your car,
congratulating yourself on
another good job.

Press the button

He says that unfortunately you cannot leave
now that you know he is there.

You pick up your chair,
break off the chair leg
and plunge it into his chest,
hoping that this works like in the films.

He gasps and then turns into dust.

What an adventure.

Press the button

You need help with 1 – mean
2 – median (odd number of data)

Topics not covered yet 3 – median (even number of data)
4 – mode
5, 6, 7, 8 – mean and median from frequency tables

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3 – median (even number of data)

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5 – mean from an ungrouped frequency table

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7, 8 – mean and median from a grouped table

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6 – median from an ungrouped frequency table


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