**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.

**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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