MEAN MEDIAN MODE FROM FREQUENCY TABLE WORKSHEET

Problem 1 :

A class of 20 students all take a spelling test. Their results out of 10 are shown in the table.

Calculate :

a) Mean    b) Median   c)  Mode

Solution

Problem 2 :

A class of 30 students were asked how many pets they owned. The following data was obtained.

Calculate :

a) Mean    b) Median   c)  Mode

Solution

Problem 3 :

Sarah recorded the number of occupants in each car that drove down her street one day. The results are shown in the frequency columns graph.

a) Construct a frequency table from the graph.

b) How many cars did Sarah record data for ?

c) Find the 

i) Mean    ii) Median   iii) Mode

Solution

Problem 4 :

50 people were asked how many times they had moved house. The results are given in the frequency table.

a) For this data, find the

i) Mean  ii) Median  iii) Mode

b) Construct a column graph for the data and show the position of the measures of of center on the horizontal axis.

Solution

Answer Key

1)  mean = 7.85, median = 8, mode = 8

2)  Mean = 1.43, median = 1, mode = 1

3)  a)  

b)   24 cars 

c) mean =  2.625, median = 2.5, mode = 2

4)

a) mean = 2.76,  median = 2, mode = 2

b)

Work out the mean for each of these frequency tables, you may not use calculator.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

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.