R. D. Sharma Solutions for Chapter: Statistics, Exercise 2: EXERCISE 15.2

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Statistics, Exercise 2: EXERCISE 15.2

Attempt the free practice questions on Chapter 15: Statistics, Exercise 2: EXERCISE 15.2 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 2: EXERCISE 15.2 with Hints & Solutions

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 2

Five coins were simultaneously tossed $1000$ times, and at each toss the number of heads was observed. The number of tosses during which $0, 1, 2, 3, 4$ and $5$ heads were obtained are shown in the table below. Find the mean number of heads per toss.

No. of heads per toss $(x)$ :	$0$	$1$	$2$	$3$	$4$	$5$
No. of tosses $(f)$ :	$38$	$144$	$342$	$287$	$164$	$25$

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 3

The following table gives the number of branches and number of plants in the garden of a school.

No. of branches $(x)$ :	$2$	$3$	$4$	$5$	$6$
No. of plants $(f)$ :	$49$	$43$	$57$	$38$	$13$

Calculate the average number of branches per plant.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 4

The following table gives the number of children of $150$ families in a village

No. of children $(x)$ :	$0$	$1$	$2$	$3$	$4$	$5$
No. of families $(f)$ :	$10$	$21$	$55$	$42$	$15$	$7$

Find the average number of children per family.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 5

The marks obtained out of $50$ , by $102$ students in a Physics test are given in the frequency table below:

Marks $(x)$ :	$15$	$20$	$22$	$24$	$25$	$30$	$33$	$38$	$45$
Frequency $(f)$ :	$5$	$8$	$11$	$20$	$23$	$18$	$13$	$3$	$1$

Find the average number of marks (correct upto two decimal places).

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 6

The number of students absents in a class were recorded every day for $120$ days and the information is given in the following frequency table :

No. of students absent $(x)$ :	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
No. of days $(f)$ :	$1$	$4$	$10$	$50$	$34$	$15$	$4$	$2$

Find the mean number of students absent per day (correct up to two decimal places)

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 7

In the first proof-reading of a book containing $300$ pages the following distribution of misprints was obtained:

No. of misprints per page $(x)$ :	$0$	$1$	$2$	$3$	$4$	$5$
No. of pages $(f)$ :	$154$	$95$	$36$	$9$	$5$	$1$

Find the average number of misprints per page.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 8

The following distribution gives the number of accidents met by $160$ workers in a factory during a month.

No. of accidents $(x)$ :	$0$	$1$	$2$	$3$	$4$
No. of workers $(f)$ :	$70$	$52$	$34$	$3$	$1$

Find the average number of accidents per worker.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.2>Q 9

Find the mean from the following frequency distribution of marks at a test in statistics:

Marks $(x)$ :	$5$	$10$	$15$	$20$	$25$	$30$	$35$	$40$	$45$	$50$
No. of students $(f)$ :	$15$	$50$	$80$	$76$	$72$	$45$	$39$	$9$	$8$	$6$

R. D. Sharma Solutions for Chapter: Statistics, Exercise 2: EXERCISE 15.2

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Statistics, Exercise 2: EXERCISE 15.2

Questions from R. D. Sharma Solutions for Chapter: Statistics, Exercise 2: EXERCISE 15.2 with Hints & Solutions

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