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Mean,Median,Mode and
Range
IFFRAH & AFROOZ
MEAN = AVERAGE
SUM/COUNT
Definition of mean
The average of a group of numbers.
2,5,2,1,5
Mean= 3
Mean is
found by
evening
out all
numbers.
2,5,2,1,5
How to find the mean of a group of numbers?
Step 1: Calculate the sum
by adding all the numbers
up.
Step 2: Find the amount of
numbers in the group.
Step 3: Divide the sum with
the amount if numbers.
Example:
What is the mean of 2, 7 and
9?
Add the numbers: 2 + 7 + 9 =
18
Divide by how many numbers
(i.e. we added 3 numbers): 18 ÷
3 = 6
So the Mean is 6
Average weight of a group of chimpanzees:
Chimp 1 weighs 20 kg
Chimp 2 weighs 10 kg
Chimp 3 weighs 15 kg
Chimp 4 weighs 20 kg
Chimp 5 weighs 35 kg
Sum
Count
MEdian = middle
Arrange in order
Definition of Median
The middle number in a set of ordered
numbers.
1 3 7 1310
MEDIAN = 7
How to find the median of a group of numbers?
Step 1: Arrange the numbers
in order from least to greatest.
Step 2: Find the middle
number.
Step 3: If there are two middle
numbers find the mean of the
two numbers.
Example:
What is the median of 4,8,16,2?
Arrange the numbers: 2,4,8,16
Find the middle number by
working out the mean of the
two numbers: 4+8 = 12
12 ÷ 2 = 6
So the median is 6
During the first marking period, Nicole had gotten the following
scores in the math quiz, What was the median quiz score?
90,
92,
93,
88,
95,
88,
97,
87
Sum
Count
Mode = repetition
Most popular
Definition of Mode:
The number that appears the most
frequently in a set of numbers.
1 1 3 7 10
MODE= 1
How to find mode in a group of numbers?
Step 1: Arrange the numbers
in order from least to
greatest.
Step 2: Find the number that
is repeated the most.
Example:
Which is the mode number
29,8,4,8,19 ?
Arrange the numbers : 4,8,8,19,29
Find the most repeated number:
8 is repeated twice
So 8 is the mode number
A marathon race was completed by 8 participants. What
is the mode of these times given in hours?
3.5hr,
2.7 hr,
8.3 hr,
3.5 hr,
5.1 hr,
4.9 hr,
3.5,hr,
2.7 hr Most frequent =
Range = difference
Highest and lowest
numbers
Definition of Range:
The difference between the greatest and
the least value in a set of numbers.
3 229 12 20
RANGE = 19
How to find range in a group of numbers?
Step 1: Arrange the numbers
in order from least to
greatest.
Step 2: Find the lowest and
highest numbers.
Step 3: Work out the
difference between the two
numbers.
Example:
What is the range of
21,18,24,19,27?
Arrange the numbers:
18,19,21,24,27
Work out the difference
between the highest and
lowest numbers:
27-18 = 9
So 9 is the range value
The Jaeger family drove through 6 midwestern states on their
summer vacation. Gasoline prices varied from state to state.
What is the range of gasoline prices?
$1.79,
$1.61,
$1.96,
$2.09,
$1.84,
$1.75
Difference =
ACTIVITY
Roll the dice to get 6 values.
Group 1 and 4: Median and Range
Group 2 and 3: Mean and Mode

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Mean, median, mode and range

  • 3. Definition of mean The average of a group of numbers. 2,5,2,1,5 Mean= 3
  • 4. Mean is found by evening out all numbers. 2,5,2,1,5
  • 5. How to find the mean of a group of numbers? Step 1: Calculate the sum by adding all the numbers up. Step 2: Find the amount of numbers in the group. Step 3: Divide the sum with the amount if numbers. Example: What is the mean of 2, 7 and 9? Add the numbers: 2 + 7 + 9 = 18 Divide by how many numbers (i.e. we added 3 numbers): 18 ÷ 3 = 6 So the Mean is 6
  • 6. Average weight of a group of chimpanzees: Chimp 1 weighs 20 kg Chimp 2 weighs 10 kg Chimp 3 weighs 15 kg Chimp 4 weighs 20 kg Chimp 5 weighs 35 kg Sum Count
  • 8. Definition of Median The middle number in a set of ordered numbers. 1 3 7 1310 MEDIAN = 7
  • 9. How to find the median of a group of numbers? Step 1: Arrange the numbers in order from least to greatest. Step 2: Find the middle number. Step 3: If there are two middle numbers find the mean of the two numbers. Example: What is the median of 4,8,16,2? Arrange the numbers: 2,4,8,16 Find the middle number by working out the mean of the two numbers: 4+8 = 12 12 ÷ 2 = 6 So the median is 6
  • 10. During the first marking period, Nicole had gotten the following scores in the math quiz, What was the median quiz score? 90, 92, 93, 88, 95, 88, 97, 87 Sum Count
  • 12. Definition of Mode: The number that appears the most frequently in a set of numbers. 1 1 3 7 10 MODE= 1
  • 13. How to find mode in a group of numbers? Step 1: Arrange the numbers in order from least to greatest. Step 2: Find the number that is repeated the most. Example: Which is the mode number 29,8,4,8,19 ? Arrange the numbers : 4,8,8,19,29 Find the most repeated number: 8 is repeated twice So 8 is the mode number
  • 14. A marathon race was completed by 8 participants. What is the mode of these times given in hours? 3.5hr, 2.7 hr, 8.3 hr, 3.5 hr, 5.1 hr, 4.9 hr, 3.5,hr, 2.7 hr Most frequent =
  • 15. Range = difference Highest and lowest numbers
  • 16. Definition of Range: The difference between the greatest and the least value in a set of numbers. 3 229 12 20 RANGE = 19
  • 17. How to find range in a group of numbers? Step 1: Arrange the numbers in order from least to greatest. Step 2: Find the lowest and highest numbers. Step 3: Work out the difference between the two numbers. Example: What is the range of 21,18,24,19,27? Arrange the numbers: 18,19,21,24,27 Work out the difference between the highest and lowest numbers: 27-18 = 9 So 9 is the range value
  • 18. The Jaeger family drove through 6 midwestern states on their summer vacation. Gasoline prices varied from state to state. What is the range of gasoline prices? $1.79, $1.61, $1.96, $2.09, $1.84, $1.75 Difference =
  • 19. ACTIVITY Roll the dice to get 6 values. Group 1 and 4: Median and Range Group 2 and 3: Mean and Mode