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.  

Detailed Answer Key

Answer (1) : 

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

Answer (2) : 

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

Answer (3) : 

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

Answer (4) : 

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

Answer (5) : 

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

Answer (6) : 

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

Answer (7) : 

6 has the maximum frequency 9.

So, 6 is the mode.

Answer (8) :

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

So, size 40 is in greater demand. 

Answer (9) : 

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.

Answer (10) : 

∙ 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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