WORKSHEET ON FINDING THE MEAN MEDIAN AND MODE OF GROUPED DATA

Find the mean, median, and mode of the following data

1)  12, 17, 20, 24, 25, 30, 40

2)  7.9, 8.5, 9.1, 9.2, 9.9, 10.0, 11.1, 11.2, 11.2, 12.6, 12.9

3)  427, 423, 415, 405, 445, 433, 442, 415, 435, 448, 429, 427, 403, 430, 446, 440, 425, 424, 419, 428, 441

4)  5, 6, 6, 7, 7, 7, 8, 8, 9, 10, 12

5)  5, 6, 6, 7, 7, 7, 8, 8, 9, 10, 20

Solution

Find the mean, median, and mode of the following frequency table

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

The table given shows the result when 3 coins were tossed simultaneously 40 times. The number of heads appearing was recorded.

Solution

Problem 4 :

The following frequency table records the number of text messages sent in a day by 50 fifteen-years-olds.

Solution

Problem 5 :

The frequency column graph alongside gives the value of donations for an overseas aid organisation, collected in a particular street.

construct the frequency table from the graph.

Solution

Problem 6 :

Hui breeds ducks. The number of ducklings surviving for each pair after one month is recorded in the table.

Solution

Problem 1 :

The following are the marks scored by the students in the Summative Assessment exam. 

Calculate the median.

Solution

Problem 2 :

The following table gives the weekly expenditure of 200 families. Find the median of the weekly expenditure.

Solution

Problem 3 :

The Median of the following data is 24. Find the value of x.

Solution

Problem 4 :

The table below gives data on the heights in cm, of 51 children.

a) Estimate the mean height

b) Estimate the median height

c) Find the modal class

Solution

Problem 5 :

A door to door salesman keeps a record of the number of homes he visits each day.

a) Estimate the mean number of homes visited.

b)  Estimate the median

c)  What is the modal class.

Solution

Question 1 :

Find the median of the given values : 47, 53, 62, 71, 83, 21, 43, 47, 41.

Solution

Question 2 :

Find the Median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51

Solution

Question 3 :

The median of observation 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 arranged in ascending order is 24. Find the values of x.

Solution

Question 4 :

A researcher studying the behavior of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31, 33, 63, 33, 28, 29, 33, 27, 27, 34, 35, 28, 32. Find the median time that mice spent in searching its food.

Solution

Question 5 :

Eight people work in a shop. They are paid hourly rates of,

$2, $15, $5, $4, $3, $4, $3, $3

a) Find

i) the mean     ii) the median     iii)  the mode

b) Which average would you use if you wanted to claim that staff were 

i) well paid     ii)  badly paid ?

c) What is the range ?

Solution

Question 6 :

For the set of data consisting of

8, 8, 9, 10, 10

which statement is true?

a. mean = mode     b. median = mode

c. mean = median     d. mean < median

Solution

Question 7 :

A gardener buys 10 packets of seeds from two different companies. Each pack contains 20 seeds and he records the number of plants which grow from each pack.

a) Find the mean, median and mode for each company's seeds.

b) which company dose the mode suggest is best ?

c) Which company does the mean suggest is best ?

d) Find the range for each company's seeds.

Solution

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