R. D. Sharma Solutions for Chapter: Statistics, Exercise 3: EXERCISE 15.3

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Statistics, Exercise 3: EXERCISE 15.3

Attempt the free practice questions on Chapter 15: Statistics, Exercise 3: EXERCISE 15.3 with hints and solutions to strengthen your understanding. MATHEMATICS CLASS X solutions are prepared by Experienced Embibe Experts.

Questions from R. D. Sharma Solutions for Chapter: Statistics, Exercise 3: EXERCISE 15.3 with Hints & Solutions

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 22

The table below shows the daily expenditure on food of $25$ households in a locality.

Daily expenditure (in $₹$ )	$100 - 150$	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$
Number of households	$4$	$5$	$12$	$2$	$2$

Find the mean daily expenditure on food $(in ₹)$ by a suitable method.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 23

To find out the concentration of ${SO}_{2}$ in the air (in parts per million, i.e., ppm), the data was collected for $30$ localities in a certain city and is presented below:

Concentration of ${SO}_{2}$ (in ppm)	Frequency
$0.00 - 0.04$	$4$
$0.04 - 0.08$	$9$
$0.08 - 0.12$	$9$
$0.12 - 0.16$	$2$
$0.16 - 0.20$	$4$
$0.20 - 0.24$	$2$

Find the mean concentration of ${SO}_{2}$ in the air in ppm.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 24

A class teacher has the following absentee record of $40$ students of a class for the whole term. Find the mean number of days a student was absent.

Number of days	$0 - 6$	$6 - 10$	$10 - 14$	$14 - 20$	$20 - 28$	$28 - 38$	$38 - 40$
Number of students	$11$	$10$	$7$	$4$	$4$	$3$	$1$

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 25

The following table gives the literacy rate (in percentage) of $35$ cities. Find the mean literacy rate in percentage.

Literacy rate (in $%$ )	$45 - 55$	$55 - 65$	$65 - 75$	$75 - 85$	$85 - 95$
Number of cities	$3$	$10$	$11$	$8$	$3$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 26

The following is the cumulative frequency distribution (of less than type) of $1000$ persons each of age $20$ years and above. Determine the mean age.

Age below (in years)	$30$	$40$	$50$	$60$	$70$	$80$
Number of persons	$100$	$220$	$350$	$750$	$950$	$1000$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 27

If the means of the following frequency distribution is $18$ , find the missing frequency.

Class of interval :	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$	$19 - 21$	$21 - 23$	$23 - 25$
Frequency :	$3$	$6$	$9$	$13$	$f$	$5$	$4$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 28

If the sum of the frequencies is $120$ and the mean is $50$ then find the sum of missing frequencies.

Class :	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$
Frequency :	$17$	$f_{1}$	$32$	$f_{2}$	$19$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.3>Q 29

The daily income of a sample of $50$ employees are tabulated as follows:

Income (in Rs.):	$1 - 200$	$201 - 400$	$401 - 600$	$601 - 800$
No. of employees:	$14$	$15$	$14$	$7$

Find the mean daily income of employees.

R. D. Sharma Solutions for Chapter: Statistics, Exercise 3: EXERCISE 15.3

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Statistics, Exercise 3: EXERCISE 15.3

Questions from R. D. Sharma Solutions for Chapter: Statistics, Exercise 3: EXERCISE 15.3 with Hints & Solutions

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