# Calculate the Mean, Median and Range of a Dataset (2)

In this worksheet, students must calculate the mean, median and range of a dataset.

Key stage:  KS 3

Curriculum topic:   Statistics

Curriculum subtopic:   Understand Variables, Representation, Measures and Spread

Difficulty level:

### QUESTION 1 of 10

This worksheet is about calculating the mean, median and range of a dataset.

Remember

To find the mean, add up all the values and divide by the total number of values.

The median is the middle value, once the numbers have been put in order (lowest number to highest number). If there are two middle numbers, find the mean of these two middle numbers.

The range is the difference between the largest and smallest values.

Example

Calculate the mean, median and range of this dataset.

Minimum temperatures in oC over 1 week:

7, 3.5, 2.5, -1, -4.5, 5, -2

First find the total which is 7 + 3.5 + 2.5 - 1 - 4.5 + 5 - 2 = 10.5

Mean = total ÷ number = 10.5 ÷ 7 = 1.5 oC

For the median, place them in increasing order.

-4.5, -2, -1, 2.5, 3.5, 5, 7

The middle number is the 4th number in the list.

Median is 2.5 oC

Range = largest value - smallest value = 7 - -4.5 = 7 + 4.5 = 11 oC

Calculate the mean, median and range of this dataset.

Weights in g of 15 parcels:

501, 508, 503, 498, 500, 496, 498, 503, 499, 499, 495, 495, 507, 501, 500

## Column B

Median
500.2
Mean
500
Range
13

Calculate the mean, median and range of this dataset.

Minimum temperatures in oC over 1 week:

4,  5.5,  2,  -1,  -3.5,  5,  2

## Column B

Median
9
Mean
2
Range
2

Calculate the mean, median and range of this dataset.

Cost of a computer program in £ in different shops:

21, 20, 22, 21, 17, 16, 18, 19, 17, 23, 21, 24, 20, 7

## Column B

Median
17
Mean
20
Range
19

Calculate the mean, median and range of this dataset.

Number of matches in 12 boxes:

52, 53, 52, 52, 53, 54, 51, 52, 52, 52, 52, 53

## Column B

Median
52
Mean
3
Range
52⅓

Calculate the mean, median and range of this dataset.

Mass of five 500 g boxes of chocolates:

500, 500.5, 501, 500.2, 499.5

## Column B

Median
500.2
Mean
500.24
Range
1.5

Calculate the mean, median and range of this dataset.

Mass in kg of 10 parcels:

4.99, 4.99, 4.50, 5.24, 5, 3.50, 4.75, 4.99, 4.99, 0.5

## Column B

Median
4.99
Mean
4.74
Range
4.345

Calculate the mean, median and range of this dataset.

Temperatures in oC over a week:

24.5, 23, 23.4, 21.5, 24, 20.8, 21.7

## Column B

Median
22.7
Mean
3.7
Range
23

Calculate the mean, median and range of this dataset.

Cost of a board game in £ in different shops:

5.50, 5.45, 5.75, 6.50, 6.25, 6.55

## Column B

Median
6.00
Mean
1.10
Range
6.00

Calculate the mean, median and range of this dataset.

Number of apples in 14 boxes:

21, 20, 22, 21, 17, 16, 18, 19, 17, 23, 21, 24, 20, 21

## Column B

Median
8
Mean
20
Range
20.5

Calculate the mean, median and range of this dataset.

Number of people in 10 buses:

54, 43, 45, 65, 46, 58, 57, 65, 47, 52

## Column B

Median
22
Mean
53
Range
53.2
• Question 1

Calculate the mean, median and range of this dataset.

Weights in g of 15 parcels:

501, 508, 503, 498, 500, 496, 498, 503, 499, 499, 495, 495, 507, 501, 500

## Column B

Median
500
Mean
500.2
Range
13
EDDIE SAYS
Total = 7503
Mean = 7503 ÷ 15 = 500.2
Median is middle number when ordered, i.e. 8th in list = 500
Range = biggest - smallest = 508 - 495 = 13
• Question 2

Calculate the mean, median and range of this dataset.

Minimum temperatures in oC over 1 week:

4,  5.5,  2,  -1,  -3.5,  5,  2

## Column B

Median
2
Mean
2
Range
9
EDDIE SAYS
Total = 14
Mean = 14 ÷ 7 = 2
Median is middle number when ordered, i.e. 4th in list = 2
Range = biggest - smallest = 5.5 - -3.5 = 9
• Question 3

Calculate the mean, median and range of this dataset.

Cost of a computer program in £ in different shops:

21, 20, 22, 21, 17, 16, 18, 19, 17, 23, 21, 24, 20, 7

## Column B

Median
20
Mean
19
Range
17
EDDIE SAYS
Total = 266
Mean = 266 ÷ 14 = 19
Median is mean of 7th and 8th in ordered list = 20
Range = biggest - smallest = 24 - 7 = 17
• Question 4

Calculate the mean, median and range of this dataset.

Number of matches in 12 boxes:

52, 53, 52, 52, 53, 54, 51, 52, 52, 52, 52, 53

## Column B

Median
52
Mean
52⅓
Range
3
EDDIE SAYS
Total = 628
Mean = 628 ÷ 12 = 52⅓
Median is mean of 6th and 7th in ordered list = 52
Range = biggest - smallest = 54 - 51 = 3
• Question 5

Calculate the mean, median and range of this dataset.

Mass of five 500 g boxes of chocolates:

500, 500.5, 501, 500.2, 499.5

## Column B

Median
500.2
Mean
500.24
Range
1.5
EDDIE SAYS
Total = 2501.2
Mean = 2501.2 ÷ 5 = 500.24
Median is middle number when ordered, i.e. 3rd in list = 500.2
Range = biggest - smallest = 501 - 499.5 = 1.5
• Question 6

Calculate the mean, median and range of this dataset.

Mass in kg of 10 parcels:

4.99, 4.99, 4.50, 5.24, 5, 3.50, 4.75, 4.99, 4.99, 0.5

## Column B

Median
4.99
Mean
4.345
Range
4.74
EDDIE SAYS
Total = 43.45
Mean = 43.45 ÷ 10 = 4.345
Median is mean of 5th and 6th number in ordered list = 4.99
Range = biggest - smallest = 5.24 - 0.5 = 4.74
• Question 7

Calculate the mean, median and range of this dataset.

Temperatures in oC over a week:

24.5, 23, 23.4, 21.5, 24, 20.8, 21.7

## Column B

Median
23
Mean
22.7
Range
3.7
EDDIE SAYS
Total = 158.9
Mean = 158.9 ÷ 7 = 22.7
Median is middle number when ordered, i.e. 4th in list = 23
Range = biggest - smallest = 24.5 - 20.8 = 3.7
• Question 8

Calculate the mean, median and range of this dataset.

Cost of a board game in £ in different shops:

5.50, 5.45, 5.75, 6.50, 6.25, 6.55

## Column B

Median
6.00
Mean
6.00
Range
1.10
EDDIE SAYS
Total = 36
Mean = 36 ÷ 6 = 6
Median is mean of 3rd and 4th in ordered list = (5.75 + 6.25) ÷ 2 = 6
Range = biggest - smallest = 6.55 - 5.45 = 1.10
• Question 9

Calculate the mean, median and range of this dataset.

Number of apples in 14 boxes:

21, 20, 22, 21, 17, 16, 18, 19, 17, 23, 21, 24, 20, 21

## Column B

Median
20.5
Mean
20
Range
8
EDDIE SAYS
Total = 280
Mean = 280 ÷ 14 = 20
Median is mean of 7th and 8th (i.e. 20 and 21) in ordered list = 20.5
Range = biggest - smallest = 24 - 16 = 8
• Question 10

Calculate the mean, median and range of this dataset.

Number of people in 10 buses:

54, 43, 45, 65, 46, 58, 57, 65, 47, 52

## Column B

Median
53
Mean
53.2
Range
22
EDDIE SAYS
Total = 532
Mean = 532 ÷ 10 = 53.2
Median is mean of 5th and 6th (i.e. 52 and 54) in ordered list = 53
Range = biggest - smallest = 65 - 43 = 22
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