R. D. Sharma Solutions for Chapter: Statistics, Exercise 4: EXERCISE 15.4

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Statistics, Exercise 4: EXERCISE 15.4

Attempt the free practice questions on Chapter 15: Statistics, Exercise 4: EXERCISE 15.4 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 4: EXERCISE 15.4 with Hints & Solutions

HARD
10th CBSE
IMPORTANT

Compute the median for each of the following data.

Marks Number of students
Less than 10 0
Less than 30 10
Less than 50 25
Less than 70 43
Less than 90 65
Less than 110 87
Less than 130 96
Less than 150 100

HARD
10th CBSE
IMPORTANT

Compute the median for each of the following data.

Marks Number of students
More than 150 0
More than 140 12
More than 130 27
More than 120 60
More than 110 105
More than 100 124
More than 90 141
More than 80 150

HARD
10th CBSE
IMPORTANT

A survey regarding the heights (in cm ) of 51 girls of class X of a school was conducted and the following data was obtained.

Height (in cm) Number of girls
Less than 140 4
Less than 145 11
Less than 150 29
Less than 155 40
Less than 160 46
Less than 165 51

Find the median height.

HARD
10th CBSE
IMPORTANT

A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years.

Age (in years) Number of policy holders
Below 20 2
Below 25 6
Below 30 24
Below 35 45
Below 40 78
Below 45 89
Below 50 92
Below 55 98
Below 60 100

HARD
10th CBSE
IMPORTANT

The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:

Length (in mm) Number or leaves f1
118-126 3
127-135 5
136-144 9
145-153 12
154-162 5
163-171 4
172-180 2

Find the median length of leaf (in mm)

MEDIUM
10th CBSE
IMPORTANT

An incomplete distribution is given as follows:

Variable 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 10 20 ? 40 ? 25 15

You are given that the median value is 35 and the sum of all the frequencies is 170. Using the median formula, fill up the missing frequencies. Also find the sum of frequencies.

HARD
10th CBSE
IMPORTANT

The median of the distribution given below is 14.4. Find the values of x and y, if the total frequency is 20. Find the sum of missing values.

Class interval 0-6 6-12 12-18 18-24 24-30
Frequency 4 x 5 y 1

HARD
10th CBSE
IMPORTANT

The median of the following data is 50. Find the values of p and q, if the sum of all the frequencies is 90. Also find the sum of missing frequencies.

Marks 20-30 30-40 40-50 50-60 60-70 70-80 80-90
Frequency p 15 25 20 q 8 10