FINDING MODE OF UNGROUPED DATA WORKSHEET

Question 1 :

In a factory, seven labors are receiving the daily wages of \$500, \$600, \$600, \$800, \$800, \$800 and \$1000, find the modal wage.

Question 2 :

Find the mode for the set of values :

17, 18, 20, 20, 21, 21, 22, 22

Question 3 :

Find the mode of the given data :

3.1, 3.2, 3.3, 2.1, 1.3, 3.3, 3.1

Find the mode.

Question 4 :

Find the mode for the set of values :

2.3, 3, 4.5, 2.3, 2.1, 2.3, 5, 8, 2.3, 4.5

Question 5 :

Following are the margin of victory in the foot ball matches of a league.

1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 4, 2, 1, 2.

Find the mode.

Question 6 :

The number of children in 20 families are

1, 2, 2, 1, 2, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1

Find the mode.

Question 7 :

A set of numbers consists of five 4’s, four 5’s, nine 6’s,and six 9’s. What is the mode ?

Question 8 :

The demand of track suit of different sizes as obtained by a survey is given below :

Question 9 :

For the data 11, 15, 17, (x + 1), 19, (x – 2), 3, if the mean is 14 , find the value of x. Also find the mode of the data.

Question 10 :

Explain unimodal, bimodal, trimodal and multimodal.

In the given data \$800 occurs thrice. So, the mode is \$800.

In the given data, three values 20, 21, 22 occur two times each. There are three modes for the given data!

In the given data, two values 3.1 and 3.3 occur two times each. There are two modes for the given data!

In the given data 2.3 occurs more number of times (4 times). So, the mode is 2.3.

Since 2 has occurred more number of times (14 times), the mode of the given data is 2.

Since 2 has occurred more number of times (15 times), the mode of the given data is 2.

6 has the maximum frequency 9.

So, 6 is the mode.

Since size 40 has the maximum frequency 37, mode of the above data is 40.

So, size 40 is in greater demand.

It is given that mean is 14.

Mean  =  14

[11 + 15 + 17 + (x + 1) + 19 + (x – 2) + 3] / 7  =  14

(2x + 64) / 7  =  14

Multiply each side by 7.

2x + 64  =  98

Subtract 64 from each side.

2x  =  34

Divide each side by 2.

x  =  17

Then, the given data :

11, 15, 17, 18, 19, 15, 3

In the above data, 15 occurs more number of times (2 times). So, the mode is 15.

A distribution having only one mode is called unimodal.

A distribution having two modes is called bimodal.

A distribution having Three modes is called trimodal.

A distribution having more than three modes is called multimodal.

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