3. THEBOSSCHALLENGE
4 9 7 14 11 8 12 15 6 11
You may pause the video while
answering The Boss Challenge.
Find the first quartile (Q1),
third quartile (Q3) and
Interquartile Range given the
scores of the 10 students in
their Mathematics Activity.
4. BOSSOUT!!!
MEGABOSS
CHALLENGE!!!
Find the first quartile (Q1), upper
quartile (Q3) and interquartile
range.
1.) 14, 19, 17, 24, 10, 18, 12, 15, 16, 21
2.) 13, 19, 23, 24, 36, 21, 12, 43, 37
Perform the task in each of the given situations
below then answer the questions that follow.
You are given 10 minutes to complete the MEGA BOSS CHALLENGE.
10. CHALLENGE2
Observe how the lower quartile (Q1), middle quartile
(Q2), and upper quartile (Q3) of the scores are
obtained. Complete the statements that follows.
8 , 2 , 5 , 4, 8 , 5 , 7 , 1 , 3 , 6 , 9
A group of students obtained the following
scores in their statistics quiz:
LEZGO
BACK
11. CHALLENGE2
1 , 2 , 3 , 4, 5 , 5 , 6 , 7 , 8 , 8 , 9
Arrange the following figures in
ascending order.
LEZGO
BACK
12. THEFIRSTQUARTILE
3ISOBTAINEDBY:___
Observing the
position of 3 which
is in the middle of
the number 1 to 5
THESECONDQUARTILE
5ISOBTAINEDBY:___
CHALLENGE2
THETHIRDQUARTILE
8ISOBTAINEDBY:___
Observing the
position of 5 which
is in the middle of
the number 1 to 9
Observing the
position of 8 which
is in the middle of
the number 6 to 9
1 , 2 , 3 , 4, 5 , 5 , 6 , 7 , 8 , 8 , 9
1 , 2 , 3 , 4, 5 , 5 , 6 , 7 , 8 , 8 , 9
Q2 or the MIDDLE Quartile
1 , 2 , 3 , 4, 5 , 5 , 6 , 7 , 8 , 8 , 9
Q1 or the LOWER Quartile
1 , 2 , 3 , 4, 5 , 5 , 6 , 7 , 8 , 8 , 9
Q3 or the UPPER Quartile
13. QUESTION
01 How do you find the
activity?
QUESTION
02 What are your observations
about the quartile?
QUESTION
03 Is it easy to find the
desired quartile?
QUESTION
04 How was each value
obtained?
RE-THINKING…
LEZGO
BACK
17. QuartileforUNGROUPEDDATA
● Twenty-five percent (25%) of the
distribution are below the first
quartile, fifty percent (50%) are
below the second quartile, and
seventy-five percent (75%) are
below the third quartile.
18. QuartileforUNGROUPEDDATA
● Q1 is called the lower quartile
and Q3 is the upper quartile.
Q1 < Q2 < Q3, where Q2 is nothing
but the median.
19. QuartileforUNGROUPEDDATA
● The difference between Q3 and
Q1 is the interquartile range.
Since the second quartile is
equal to the median, the steps
in the computation of median
by identifying the median class is
the same as the steps in
identifying the Q1 class and the
Q3 class
20. QuartileforUNGROUPEDDATA
● If there are n observations in a set of data,
then Qk or Q1, Q2, Q3 can be identified by:
1. Arrange the data in ascending (increasing)
order.
2. Find the location L of Qk or Q1, Q2, Q3 using:
21. QuartileforUNGROUPEDDATA
𝑳 =
𝒌
𝟒
(𝒏 + 𝟏)
where k is the desired quartile and
n is the total number of data.
and L must be round off to the nearest integer.
22. CHALLENGE3.1
The owner of a coffee shop recorded the amount of
sales in his café each hour in a day. The results were 400, 1000,
1200, 900, 1600, 1700, 500, 800, 1800, 1300, 1100. Find the lower
quartile and upper quartile of the data.
Step 1: Arrange first the data in an increasing order
400 500 800 900 1000 1100 1200 1300 1600 1700 1800
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th
For the lower quartile…
23. CHALLENGE3.1
The owner of a coffee shop recorded the amount of
sales in his café each hour in a day. The results were 400, 1000,
1200, 900, 1600, 1700, 500, 800, 1800, 1300, 1100. Find the lower
quartile and upper quartile of the data.
Step 2: 𝑳 =
𝒌
𝟒
(𝒏 + 𝟏) , where k= 1 and n= 11
𝑳 =
𝒌
𝟒
𝒏 + 𝟏
𝑳 =
𝟏
𝟒
(𝟏𝟏 + 𝟏)
𝑳 =
𝟏
𝟒
𝟏𝟐 =
𝟏𝟐
𝟒
= 𝟑
24. CHALLENGE3.1
The owner of a coffee shop recorded the amount of sales in his
café each hour in a day. The results were 400, 1000, 1200, 900, 1600,
1700, 500, 800, 1800, 1300, 1100. Find the lower quartile and upper
quartile of the data.
The lower quartile is the 3rd element which is 800.
Therefore,
Q1 = 800.
This means that 25% of the sales is lower than or
equal to PHP 800.
400 500 800 900 1000 1100 1200 1300 1600 1700 1800
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th
25. CHALLENGE3.1
The owner of a coffee shop recorded the amount of
sales in his café each hour in a day. The results were 400, 1000,
1200, 900, 1600, 1700, 500, 800, 1800, 1300, 1100. Find the lower
quartile and upper quartile of the data.
Step 1: Arrange first the data in an increasing order
400 500 800 900 1000 1100 1200 1300 1600 1700 1800
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th
For the upper quartile…
26. CHALLENGE3.1
The owner of a coffee shop recorded the amount of
sales in his café each hour in a day. The results were 400, 1000,
1200, 900, 1600, 1700, 500, 800, 1800, 1300, 1100. Find the lower
quartile and upper quartile of the data.
Step 2: 𝑳 =
𝒌
𝟒
(𝒏 + 𝟏) , where k= 3 and n= 11
𝑳 =
𝒌
𝟒
𝒏 + 𝟏
𝑳 =
𝟑
𝟒
(𝟏𝟏 + 𝟏)
𝑳 =
𝟑
𝟒
𝟏𝟐 =
𝟑𝟔
𝟒
= 𝟗
27. CHALLENGE3.1
The owner of a coffee shop recorded the amount of sales in his
café each hour in a day. The results were 400, 1000, 1200, 900, 1600,
1700, 500, 800, 1800, 1300, 1100. Find the lower quartile and upper
quartile of the data.
The upper quartile is the 9th data element which is
1600.
Therefore,
Q3 = 1600.
This means that 75% of the sales is lower than or
equal to PHP 1600.
400 500 800 900 1000 1100 1200 1300 1600 1700 1800
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th
LEZGO
BACK
31. THISISAGRAPH
JUPITER
It’s the biggest planet
in the Solar System
VENUS
It’s the second planet
from the Sun
MERCURY
It’s the closest planet
to the Sun
Follow the link in the graph to modify its data and then paste the new one here. For more info, click here
30%
15%
55%
36. TIMELINE
2020
2010
2014
2018 2024
Venus has a
beautiful name,
but it’s hot
Mercury is the
closest planet to
the Sun
Despite being
red, Mars is a
cold place
It’s the biggest
planet in the
Solar System
Saturn is a gas
giant and has
several rings
38. Same shape and same size
LESSON10:SIMILARORCONGRUENTFIGURES
SIMILAR
Same shape, but size is different
SIMILAROR
CONGRUENT?
Your answer here
CONGRUENT
SIMILAROR
CONGRUENT?
Your answer here
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