## RS Aggarwal Solutions Chapter 14 Statistics Ex 14H in PDF for Free Download

Contents

**Question 1.****Find the mode of the following items : 0, 6, 5, 1, 6,4, 3, 0, 2, 6, 5, 6.****Solution:**

Arranging the given data in ascending order :

0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 6, 6

We see that 6 occurs in maximum times.

Mode = 6 Ans.

**Question 2.****Determine the mode of the following values of a variable. 23, 15, 25, 40, 27, 25, 22, 25, 20****Solution:**

Arranging in ascending order, we get:

15, 20, 22, 23, 25, 25, 25, 27, 40

We see that 25 occurs in maximum times.

Mode = 25 Ans.

**Question 3.****Calculate the mode of the following sizes of shoes sold by a shop on a particular day.****5, 9, 8, 6, 9, 4, 3, 9, 1, 6, 3, 9, 7, 1, 2, 5, 9.****Solution:**

Arranging in ascending order we get:

1, 1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 9, 9, 9, 9, 9

Here, we see that 9 occurs in maximum times.

Mode = 9 Ans.

**Question 4.****A cricket players scored the following runs is 12 one-day matches :****50, 30, 9, 32, 60, 50, 28, 50, 19, 50, 27, 35. Find his model score.****Solution:**

Arranging in ascending order, we get:

9, 19, 27, 28, 30, 32, 35, 50, 50, 50, 50, 60

Here, we see that 50 occurs in maximum times.

Modal score = 50 scores Ans.

**Question 5.****Calculate the mode of each of the following using the empirical formula.****5. 17, 10, 12, 11, 10, 15, 14, 11, 12, 13.****Solution:**

Arranging in ascending order, we get:

10, 10, 11, 11, 12, 12, 13, 14,15, 17

Here, number of terms is 10, which is even

∴ Median =

= (5th term + 6th term)

**Question 6.****Solution:**

**Question 7.****Solution:**

Writing its cumulative frequency table

**Question 8.****Solution:**

Writing its cumulative frequency table

Here, number of items is 40 which is even.

∴ Median =

= (20th term + 21th term)

= (30 + 30) = x 60 = 30

Mean= = = 29.025

∴Mode = 3 median – 2 mean = 3 x 30 – 2 x 29.025 = 90 – 58.05 = 31.95

**Question 9.****The table given below shows the weights (in kg) of 50 persons :****Find the mean, median and mode.****Solution:**

Preparing its cumulative frequency table we get:

Here number of terms is 50, which is even

**Question 10.****The marks obtained by 80 students in a test are given below :****Find the modal marks.****Solution:**

Preparing its cumulative frequency table :

**Question 11.****The ages of the employees of a company are given below :****Find the mean, median and mode for the above data.****Solution:**

Preparing its cumulative frequency table we have,

**Question 12.****The following table shows the weights of 12 students :****Find the mean, median and mode for the above data.****Solution:**

Preparing its cumulative frequency table we have,

Here number of terms =15, which is odd

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