FINDING MEAN MEDIAN MODE AND RANGE WORKSHEET

Find the mean, median, mode, and range for the data set:

Problem 1 :

1, 3, 4, 5, 9, 9, 11

Solution

Problem 2 :

10, 12, 12, 15, 15, 17, 18, 18, 18, 19

Solution

Problem 3 :

8, 4, 17, 11, 10, 10, 12, 11, 9, 18, 11, 6, 17, 7, 8

Solution

Problem 4:

127, 123, 115, 105, 145, 133, 142, 115, 135, 148, 129, 127, 103, 130, 146, 140, 125, 124, 119, 128, 141, 116

Solution

Answer Key

Mean

1) 6

2) 15.4

3) 10.6

4) 128

Median

5

16

10

127.5

Mode

9

18

11

115, 127

Range

10

9

14

45

Problem 1 :

Aidan plays 50 games in an arcade. The table shows how many tickets he won in each game.

(a) Work out the missing frequency

(b) Work out the total number of tickets won

(c) Work out the mean number of tickets won per game.

Aidan wants to exchange his ticket for a prize that costs 800 tickets.

(d) How many more games do you expect Aidan would have to play?

Solution

Problem 2 :

Max rolls a dice 80 times. The table shows the results.

(a) Find the value of x

(b) Work out the mean score

Solution

Problem 3 :

A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in the place of x ?

Solution

Problem 4 :

The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y.

Solution

Problem 5 :

If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of the last three observation is.

Solution

Answer Key

1) a)  x = 6    b) 203  c)  4.06  d) 147

2)  a) x = 15  b)  13.3

3)  x = 7

4)  x = 5 and y = 20

5)  x = 7, mean = 13

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