M L Aggarwal Solutions for Chapter: Statistics, Exercise 1: Exercise 15.1

Author:M L Aggarwal

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Statistics, Exercise 1: Exercise 15.1

Attempt the practice questions on Chapter 15: Statistics, Exercise 1: Exercise 15.1 with hints and solutions to strengthen your understanding. CBSE Syllabus Standard Mathematics for Class X solutions are prepared by Experienced Embibe Experts.

Questions from M L Aggarwal Solutions for Chapter: Statistics, Exercise 1: Exercise 15.1 with Hints & Solutions

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 8

Find the mean of the following data:

Classes	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Frequency	$12$	$7$	$16$	$12$	$11$	$7$	$19$	$16$

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 9

The frequency distribution table of an agricultural holding in a village is given below:

Area in hectares	$1 - 3$	$4 - 6$	$7 - 9$	$10 - 12$	$13 - 15$
Number of families	$25$	$22$	$52$	$45$	$16$

If the mean area held by a family is $k$ hectares, find $k$ .

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 10

The following table gives the number of pages written by Sarika for completing her own book for $30$ days:

Number of pages written per day	$16 - 18$	$19 - 21$	$22 - 24$	$25 - 27$	$28 - 30$
Number of days	$1$	$3$	$4$	$9$	$13$

If the mean number of pages written per day is $k$ , find $k$ .

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 11

A class teacher has the following absentee record of $40$ students of a class for the whole term. If the mean number of days a student was absent is $k$ , find $k$ .

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

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 12

The arithmetic mean of the following frequency distribution is $53$ . Find the value of $k$ .

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$
Frequency	$12$	$15$	$32$	$k$	$13$

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 13

The mean of the following frequency distribution is $62.8$ . Find the missing frequency $x$ .

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$
Frequency	$5$	$8$	$x$	$12$	$7$	$8$

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 14

The mean of the following frequency distribution is $53$ . But the frequencies $f_{1}$ and $f_{2}$ in the classes $20 - 40$ and $60 - 80$ are missing. Find the missing frequencies.

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	Total
Frequency	$15$	$f_{1}$	$21$	$f_{2}$	$17$	$100$

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 15

In a class test, marks obtained by $120$ students are given in the following frequency distribution table. It is given that the mean is $59$ , find the missing frequencies $x$ and $y$ .

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Number of students	$1$	$3$	$7$	$10$	$15$	$x$	$9$	$27$	$18$	$y$

M L Aggarwal Solutions for Chapter: Statistics, Exercise 1: Exercise 15.1

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Statistics, Exercise 1: Exercise 15.1

Questions from M L Aggarwal Solutions for Chapter: Statistics, Exercise 1: Exercise 15.1 with Hints & Solutions

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