Neha Tyagi and Amit Rastogi Solutions for Chapter: Statistics and Probability, Exercise 4: Exercise

Author:Neha Tyagi & Amit Rastogi

Neha Tyagi Mathematics Solutions for Exercise - Neha Tyagi and Amit Rastogi Solutions for Chapter: Statistics and Probability, Exercise 4: Exercise

Attempt the practice questions on Chapter 13: Statistics and Probability, Exercise 4: Exercise with hints and solutions to strengthen your understanding. NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Neha Tyagi and Amit Rastogi Solutions for Chapter: Statistics and Probability, Exercise 4: Exercise with Hints & Solutions

MEDIUM
10th CBSE
IMPORTANT

Draw the less than type and more than type ogives for the data and use them to find the median weight.

The weights of tea in 70 packets shown in the following table

Weight (in g) Number of packets
200-201 13
201-202 27
202-203 18
203-204 10
204-205 1
205-206 1

 

MEDIUM
10th CBSE
IMPORTANT

The table below shows the salaries of 280 persons.

Salary (inthousand) Number of persons
5-10 49
10-15 133
15-20 63
20-25 15
25-30 6
30-35 7
40-45 2
45-50 1

Calculate the median and mode of the data.

MEDIUM
10th CBSE
IMPORTANT

The annual rainfall record of a city for 66 days is given in the following table.

Rainfall (in cm) 0-10 10-20 20-30 30-40 40-50 50-60
Number of days 22 10 8 15 5 6

Calculate the median rainfall using ogives (or more than type and less than type).

HARD
10th CBSE
IMPORTANT

The following is the frequency distribution of duration for 100 calls made on a mobile phones.

Duration (in s) Number of calls
95-125 14
125-155 22
155-185 28
185-215 21
215-245 15

Calculate the average duration (in sec) of a call and also find the median from a cumulative frequency curve.

EASY
10th CBSE
IMPORTANT

50 students enter for a school javelin throw competition. The distance (in metre) thrown are recorded below

Distance (in m) 0-20 20-40 40-60 60-80 80-100
Number of students 6 11 17 12 4

 Construct a cumulative frequency table.

MEDIUM
10th CBSE
IMPORTANT

50 students enter for a school javelin throw competition. The distance (in metre) thrown are recorded below

Distance (in m) 0-20 20-40 40-60 60-80 80-100
Number of students 6 11 17 12 4

Draw a cumulative frequency curve (less than type) and calculate the median distance drawn by using this curve.

MEDIUM
10th CBSE
IMPORTANT

50 students enter for a school javelin throw competition. The distance (in metre) thrown are recorded below

Distance (in m) 0-20 20-40 40-60 60-80 80-100
Number of students 6 11 17 12 4

Calculate the median distance by using the formula for median.

MEDIUM
10th CBSE
IMPORTANT

50 students enter for a school javelin throw competition. The distance (in metre) thrown are recorded below

Distance (in m) 0-20 20-40 40-60 60-80 80-100
Number of students 6 11 17 12 4

Are the median distance calculated in (ii) by drawing ogive and (iii) by cumulative frequency same?