Averages: Mean, Median, Mode and Range - Worksheets, Questions and Revision

12 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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KS3 · Statistics

KS3.M-S4 Averages: Mean, Median, Mode and Range

AQA KS3.M-S4 · Calculators not allowed · about 60 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write down the mode of each list of numbers.
(a)List: 2, 5, 7, 5, 9(1)
(b)List: 4, 4, 6, 6, 8, 10(1)
2
Find the median of each list.
(a)List: 3, 1, 4, 2, 6(1)
(b)List: 7, 3, 5, 9(1)
3
Calculate the range for each set of scores.
(a)Set: 12, 5, 9, 21, 17(1)
(b)Set: 8, 8, 8, 8, 8(1)
4
Calculate the mean (average) for each complete list. Give answers to 1 decimal place if needed.
(a)List: 6, 9, 11, 4(1)
(b)List: 5, 7, 6(1)
5
A teacher recorded the number of books read by 5 pupils in a term: 2, 3, 8, 4, 13. Calculate the mean, median, mode and range of this data. Give the mean to 1 decimal place.
(a)Calculate the mean.(1)
(b)Calculate the median.(1)
(c)Calculate the mode and the range.(1)
6
Which average is most affected by an outlier? Choose one and give a short reason.
(a)Select mean, median or mode and give a reason.(2)
7
A set of exam scores is: 48, 52, 55, 60, 62, 95. Calculate the mean and median. Explain briefly how the 95 affects the mean compared to the median.
(a)Calculate the mean of the six scores.(1)
(b)Calculate the median of the six scores.(1)
(c)Explain briefly how the 95 affects the mean compared to the median.(1)
8
The number of minutes a group of 7 pupils spent on homework: 20, 35, 25, 40, 30, 35, 50. Calculate the mean, median and mode. Give the mean to 1 decimal place if needed.
(a)Calculate the mean.(1)
(b)Calculate the median.(1)
(c)Calculate the mode.(1)
9
A small survey recorded the number of pets owned by 8 households: 0, 1, 2, 1, 3, 10, 2, 1. Calculate the mean, median and range. Comment on whether the mean or median is a better measure of a 'typical' number of pets for these households and why.
(a)Calculate the mean.(1)
(b)Calculate the median.(1)
(c)Calculate the range and state which average (mean or median) is better for a typical household here, with a short reason.(1)
10
Complete the frequency table and then calculate the mean age of the group. Ages and frequencies: age 10 frequency 2; age 11 frequency 3; age 12 frequency 4; age 13 frequency 1. Give the mean to 1 decimal place.
(a)Find the total number of pupils.(1)
(b)Calculate the mean age.(3)
11
Two different classes took the same short test. Class A scores: 6, 7, 8, 7, 9. Class B scores: 2, 7, 8, 7, 12. For each class calculate the mean and median. Which class shows more variation in scores by comparing ranges? Give a short reason.
(a)Calculate the mean and median for Class A.(2)
(b)Calculate the mean and median for Class B.(2)
(c)Which class shows more variation by comparing ranges? Give a short reason.(0)
12
Stretch: A small club records the number of goals scored by its players in a season: 0, 1, 1, 2, 3, 3, 3, 20. (a) Calculate the mean and median. (b) The club manager says the mean is not a good measure of typical performance here. Do you agree? Give a short justification.
(a)Calculate the mean and the median.(2)
(b)The club manager says the mean is not a good measure of typical performance here. Do you agree? Give a short justification.(2)
Mark scheme · KS3.M-S4 Averages: Mean, Median, Mode and Range

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12