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## Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 8 Statistics Ex 8.3

Question 1.

The monthly salary of 10 employees in a factory are given below : ₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, 17000, ₹ 8000, ₹ 7000, ₹ 5000 Find the mean, median and mode.

Solution:

The monthly salary of 10 employees are ₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 5000.

Writing in ascending order ₹ 5000, ₹ 5000, ₹ 5000, ₹ 7000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 8000

Number of values =10 which is an even number.

In this given data ₹ 7000 occurs maximum number of 5 times

∴ Mode = ₹ 7000/-

∴ Mean = ₹ 6600/-

Mode = ₹ 7000/-

Question 2.

Find the mode of the given data : 3.1, 3.2, 3.3, 2.1,1.3, 3.3, 3.1

Solution:

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

In this given data 3.1, 3.3 occurs twice

₹ Mode = 3.1 and 3.3 (bimodal)

Question 3.

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.

Solution:

The data given is 11, 15, 17, x + 1, 19, x – 2, 3

The data 11, 15, 17, 17 + 1, 19, 17 – 2, 3 = 11, 15, 17, 18, 19, 15, 3

In this given data 15 occurs twice. Hence the mode is 15.

Question 4.

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

Which size is in greater demand ?

Solution:

∴ Size 40 has maximum frequency 37.

∴ 40 is the mode.

Question 5.

Find the mode of the following data:

Solution:

Question 6.

Find the mode of the following distribution:

Solution: