 # Calculate the Mean, Median and Range of a Dataset (1)

In this worksheet, students calculate the mean, median and range of 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

Answer

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 the dataset.

Here are the masses in kg of 15 parcels:

3.6,  5.9,  1,  4.4,  4.8,  5.9,  5.7,  2.5,  1,  5.7,  4.5,  5.7,  1.2,  2.9,  4.3

## Column B

The mean
4.9
The median
4.4
The range
3.94

Calculate the mean, median and range of the dataset.

Cost of a board game in different shops in £:

4.98,  3.38,  4.85,  4.60,  3.39,  4.31,  3.46,  4.17,  5.31,  4.15

## Column B

The mean
4.26
The median
4.24
The range
1.93

Calculate the mean, median and range of the dataset.

Mass of 500g box of chocolates in g:

492,  499,  498,  506,  494,  499,  500,  507,  501,  510,  509,  510,  508,  497,  490

## Column B

The mean
500
The median
501.3
The range
20

Calculate the mean, median and range of the dataset.

Temperature in °C over 2 weeks:

18,  15,  15,  15,  15,  25,  19,  15,  25,  15,  25,  25,  20,  21

## Column B

The mean
18.5
The median
19.1
The range
10

Calculate the mean, median and range of the dataset.

Mass in kg of 15 parcels:

4.6,  5.6,  3.2,  3.6,  4,  2.5,  2.8,  5.2,  2.7,  5.4,  3.2,  4.2,  6,  3.2,  3.2

## Column B

The mean
3.6
The median
3.96
The range
3.5

Calculate the mean, median and range of the dataset.

Cost of a comic book in different shops in £:

4.98,  4.09,  4.07,  3.31,  5.49,  3.82,  5.42,  5.40,  4.23,  3.78

## Column B

The mean
2.18
The median
4.46
The range
4.16

Calculate the mean, median and range of the dataset.

Mass of 500g box of chocolates:

497,  490,  490,  499,  503,  506,  507,  490,  507,  507,  496,  507,  506,  505,  491

## Column B

The mean
503
The median
17
The range
500

Calculate the mean, median and range of the dataset.

Temperature in °C over 2 weeks:

25,  24,  19,  24,  22,  24,  24,  17,  15,  20,  21,  18,  16,  25

## Column B

The mean
10
The median
21.5
The range
21

Calculate the mean, median and range of the dataset.

Cost of a box of candy in different shops in £:

3.95,  3.40,  3.81,  5.18,  4.94,  4.32,  4.69,  4.93,  4.76,  5.29

## Column B

The mean
4.53
The median
1.89
The range
4.73

Calculate the mean, median and range of the dataset.

Temperature in °C over 2 weeks:

21,  16,  16,  19,  20,  17,  22,  18,  25,  16,  25,  22,  23,  24

## Column B

The mean
20.5
The median
20.29
The range
9
• Question 1

Calculate the mean, median and range of the dataset.

Here are the masses in kg of 15 parcels:

3.6,  5.9,  1,  4.4,  4.8,  5.9,  5.7,  2.5,  1,  5.7,  4.5,  5.7,  1.2,  2.9,  4.3

CORRECT ANSWER

## Column B

The mean
3.94
The median
4.4
The range
4.9
EDDIE SAYS
Mean = Sum ÷ 15
Median = 8th in ordered list
Range = max - min = 5.9 - 1
• Question 2

Calculate the mean, median and range of the dataset.

Cost of a board game in different shops in £:

4.98,  3.38,  4.85,  4.60,  3.39,  4.31,  3.46,  4.17,  5.31,  4.15

CORRECT ANSWER

## Column B

The mean
4.26
The median
4.24
The range
1.93
EDDIE SAYS
Mean = Sum ÷ 10
Median = mean of 5th and 6th in ordered list
Range = max - min = 5.31 - 3.38
• Question 3

Calculate the mean, median and range of the dataset.

Mass of 500g box of chocolates in g:

492,  499,  498,  506,  494,  499,  500,  507,  501,  510,  509,  510,  508,  497,  490

CORRECT ANSWER

## Column B

The mean
501.3
The median
500
The range
20
EDDIE SAYS
Mean = Sum ÷ 15
Median = 8th in ordered list
Range = max - min = 510 - 490
• Question 4

Calculate the mean, median and range of the dataset.

Temperature in °C over 2 weeks:

18,  15,  15,  15,  15,  25,  19,  15,  25,  15,  25,  25,  20,  21

CORRECT ANSWER

## Column B

The mean
19.1
The median
18.5
The range
10
EDDIE SAYS
Mean = Sum ÷ 14
Median = Mean of 7th and 8th in ordered list
Range = max - min = 25 - 15
• Question 5

Calculate the mean, median and range of the dataset.

Mass in kg of 15 parcels:

4.6,  5.6,  3.2,  3.6,  4,  2.5,  2.8,  5.2,  2.7,  5.4,  3.2,  4.2,  6,  3.2,  3.2

CORRECT ANSWER

## Column B

The mean
3.96
The median
3.6
The range
3.5
EDDIE SAYS
Mean = Sum ÷ 15
Median = 8th in ordered list
Range = max - min = 6 - 2.5
• Question 6

Calculate the mean, median and range of the dataset.

Cost of a comic book in different shops in £:

4.98,  4.09,  4.07,  3.31,  5.49,  3.82,  5.42,  5.40,  4.23,  3.78

CORRECT ANSWER

## Column B

The mean
4.46
The median
4.16
The range
2.18
EDDIE SAYS
Mean = Sum ÷ 10
Median = Mean of 5th and 6th in ordered list
Range = max - min = 5.49 - 3.31
• Question 7

Calculate the mean, median and range of the dataset.

Mass of 500g box of chocolates:

497,  490,  490,  499,  503,  506,  507,  490,  507,  507,  496,  507,  506,  505,  491

CORRECT ANSWER

## Column B

The mean
500
The median
503
The range
17
EDDIE SAYS
Mean = Sum ÷ 15
Median = 8th in ordered list
Range = max - min = 507 - 490
• Question 8

Calculate the mean, median and range of the dataset.

Temperature in °C over 2 weeks:

25,  24,  19,  24,  22,  24,  24,  17,  15,  20,  21,  18,  16,  25

CORRECT ANSWER

## Column B

The mean
21
The median
21.5
The range
10
EDDIE SAYS
Mean = Sum ÷ 14
Median = Mean of 7th and 8th in ordered list
Range = max - min = 25 - 15
• Question 9

Calculate the mean, median and range of the dataset.

Cost of a box of candy in different shops in £:

3.95,  3.40,  3.81,  5.18,  4.94,  4.32,  4.69,  4.93,  4.76,  5.29

CORRECT ANSWER

## Column B

The mean
4.53
The median
4.73
The range
1.89
EDDIE SAYS
Mean = Sum ÷ 10
Median = Mean of 5 and 6th in ordered list
Range = max - min = 5.29 - 3.40
• Question 10

Calculate the mean, median and range of the dataset.

Temperature in °C over 2 weeks:

21,  16,  16,  19,  20,  17,  22,  18,  25,  16,  25,  22,  23,  24

CORRECT ANSWER

## Column B

The mean
20.29
The median
20.5
The range
9
EDDIE SAYS
Mean = Sum ÷ 14
Median = Mean of 7th and 8th in ordered list
Range = max - min = 25 - 16
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