MEAN FROM FREQUENCY TABLE WORKSHEET

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 6 :

The tale below shows the data on the heights in cm of 51 children.

a) Estimate the mean

b) Estimate the median height

c) Find the modal class

Solution

Problem 6 :

The age of children in a primary school were recorded in the table below.

a) Estimate the mean

b) Estimate the median

c) Estimate the modal class

Solution

Problem 1 :

Each student in a class of 20 students is assigned a number between 1 and 10 to indicate his or her fitness.

Calculate the

a) mean      b) Median         c) Mode       d) Range

Solution

Problem 2 :

The members of a school band were each asked how many musical instruments they played. The results were 

Calculate the

a) mean      b) Median         c) Mode       d) Range

Solution

Problem 3 :

The following frequency table records the number of books read in the last year by 50 fifteen years old.

a)  For this data, find the 

a) mean      b) Median         c) Mode       d) Range

b) Construct a vertical bar chart for the data and show the position of the measures of center on the horizontal axis.

c) Describe the distribution of the data

d)  Why is the mean smaller than the median for this data ?

e) Which measure of center would be most suitable for this data set ?

Solution

Problem 4 :

Hui breeds ducks. The number of ducking survying for each pair after one month is recorded in the table,

a) Calculate the

i) Mean       ii) Median      iii) Mode      iv) Range

b) Is the data skewed

c)  How does the skewness of the data affect the measures of the middle of the distribution?

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.

Solution

Problem 6 :

The mean of the following frequency distribution is 25.2. Find the missing frequency x.

Solution

Problem 7 :

Find the missing frequency: mean = 50, Total frequency = 120.

Solution