R. D. Sharma Solutions for Chapter: Statistics, Exercise 5: EXERCISE 15.5

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Statistics, Exercise 5: EXERCISE 15.5

Attempt the free practice questions on Chapter 15: Statistics, Exercise 5: EXERCISE 15.5 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 5: EXERCISE 15.5 with Hints & Solutions

HARD
10th CBSE
IMPORTANT

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data, rounded off to one decimal place.

Number of cars 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 7 14 13 12 20 11 15 8

HARD
10th CBSE
IMPORTANT

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the sum of median, mean and mode of the data and fill your answer to the nearest integer.

Monthly consumption (in units) 65-85 85-105 105-125 125-145 145-165 165-185 185-205
Number of consumers  4 5 13 20 14 8 4

HARD
10th CBSE
IMPORTANT

100 surnames were randomly picked up from a local telephone directly and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Number of letters: 1-4 4-7 7-10 10-13 13-16 16-19
Number of surnames: 6 30 40 16 4 4

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also, find the modal size of the surnames. Also find the sum of mean, median and mode.

HARD
10th CBSE
IMPORTANT

Find the mean, median and mode of the following data. Also find their sum.

Classes: 0-20 20-40 40-60 60-80 80-100 100-120 120-140
Frequency: 6 8 10 12 6 5 3

HARD
10th CBSE
IMPORTANT

The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the sum of mean monthly expenditure and modal monthly expenditure in rupees upto two decimal places.

Expenditure (in ₹) Number of families
1000-1500 24
1500-2000 40
2000-2500 33
2500-3000 28
3000-3500 30
3500-4000 22
4000-4500 16
4500-5000 7

HARD
10th CBSE
IMPORTANT

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

Runs scored No. of batsman
3000-4000 4
4000-5000 18
5000-6000 9
6000-7000 7
7000-8000 6
8000-9000 3
9000-10000 1
10000-11000 1

If the mode of the data is k runs, where is rounded off to nearest integer then find k

HARD
10th CBSE
IMPORTANT

The frequency distribution table of agriculture holdings in a village is given below:

Area of land (in hectares): 1-3 3-5 5-7 7-9 9-11 11-13
Number of families: 20 45 80 55 40 12

Find the modal agricultural holdings of the village. If modal agricultural holdings of the village is k hectares rounded off to one decimal place then write k.

HARD
10th CBSE
IMPORTANT

The monthly income of 100 families are given as below:

Income in (in ) Number of families
0-5000 8
5000-10000 26
10000-15000 41
15000-20000 16
20000-25000 3
25000-30000 3
30000-35000 2
35000-40000 1

Calculate the modal income.