RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 (Updated for 2021-22)

RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5

RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5: This exercise is all about determining the mode/modal value of a continuous frequency distribution. In the RD Sharma Class 10 Solutions, appropriate methods for computing the modal value are introduced, and this can be properly understood. The RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 PDF is available for free download if you wish to improve your finding mode skills.

Download RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 Free PDF

 


RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5

Access answers to RD Sharma Solutions Class 10 Maths Chapter 7 Exercise 7.5- Important Question with Answers

Question 1.
Find the mode of the following data :
(i) 3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
(ii) 3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
(iii) 15, 8, 26, 25, 24, 15, 18, 20, 24, 15, 19, 15
Solution:
RD Sharma Class 10 Chapter 7 Statistics
We see that 5 occurs in maximum times which is 5
∴ Mode = 5
Statistics Class 10 RD Sharma
we see that 3 occurs in maximum times i.e. 5
∴ Mode = 3
RD Sharma Class 10 Chapter 7 Statistics
Statistics Class 10 RD Sharma
Here we see that 15 occurs in maximum times i.e. 54
∴ Mode = 15

Question 2.
The shirt sizes worn by a group of 200 persons, who bought the shirt from a store, are as follows :
RD Sharma Class 10 Chapter 7 Statistics
Find the model shirt size worn by the group.
Solution:
Statistics Class 10 RD Sharma
We see that frequency of 40 is the maximum which is 41
∴Mode = 40

Question 3.
Find the mode of the following distribution.
RD Sharma Class 10 Solutions Statistics
Solution:
RD Sharma Class 10 Solutions Chapter 7 Statistics
RD Sharma Class 10 Solutions Statistics
RD Sharma Class 10 Solutions Chapter 7 Statistics
RD Sharma Class 10 Solutions Statistics

Question 4.
Compare the modal ages of two groups of students appearing for an entrance test :
RD Sharma Class 10 Pdf Chapter 7 Statistics
Solution:
(i) For group A
RD Sharma Solutions Class 10 Chapter 7 Statistics
We see that class 18-20 has the maximum frequency
∴ It is a modal class
RD Sharma Class 10 Pdf Chapter 7 Statistics

(ii) For group B
RD Sharma Solutions Class 10 Chapter 7 Statistics
We see that class 18-20 has the maximum frequency
∴ It is a modal class
RD Sharma Solutions Class 10 Chapter 7 Statistics
Learncbse.In Class 10 Chapter 7 Statistics

Question 5.
The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.
Class 10 RD Sharma Solutions Chapter 7 Statistics
Solution:
Learncbse.In Class 10 Chapter 7 Statistics
We see that class 50-60 has a maximum frequency of 20
∴ It is a modal class
Class 10 RD Sharma Solutions Chapter 7 Statistics

Question 6.
The following is the distribution of height of students of a certain class in a certain city :
Learncbse.In Class 10 Chapter 7 Statistics
Find the average height of a maximum number of students.
Solution:
Writing the classes in exclusive form,
Class 10 RD Sharma Solutions Chapter 7 Statistics
Here model class is 165.5 – 168.5
and l = 165.5, h = 3, f= 142, f1= 118, f2= 127
RD Sharma Class 10 Pdf Free Download Full Book Chapter 7 Statistics
RD Sharma Class 10 Solution Chapter 7 Statistics

Question 7.
The following table shows the ages of the patients admitted to a hospital during a year :
RD Sharma Class 10 Pdf Free Download Full Book Chapter 7 Statistics
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Solution:
RD Sharma Class 10 Solution Chapter 7 Statistics
(i) We see that class 35-45 has the maximum frequency 23
∴ It is a modal class
RD Sharma Class 10 Solution Chapter 7 Statistics
= 35.375 = 35.37 years
We see that mean is less than its mode

Question 8.
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components :
RD Sharma Class 10 Pdf Ebook Chapter 7 Statistics
Determine the modal lifetimes of the components.
Solution:

RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 7 Statistics
We see that class 60-80 has the maximum frequency 61
∴ It is the modal class
Here l = 60, f= 6, f1 = 52, f2 = 38,h = 20
∴ Modal of life time (in hrs.)
RD Sharma Class 10 Book Pdf Free Download Chapter 7 Statistics

Question 9.
The following table gives the daily income of 50 workers of a factory :
Class 10 RD Sharma Chapter 7 Statistics
Find the mean, mode, and median of the above data. (C.B.S.E. 2009)
Solution:
RD Sharma Maths Class 10 Solutions Chapter 7 Statistics
Here i = 20 and AM = 150
RD Sharma 10 Class Solutions Chapter 7 Statistics
(ii) Max frequency = 14
∴ Model class=120 – 140
RD Sharma Maths Class 10 Solutions Chapter 7 Statistics

Question 10.
The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret, the two measures:
RD Sharma 10 Class Solutions Chapter 7 Statistics
Solution:
Let assumed mean (A) = 32.5
RD Sharma Class 10 Textbook PDF Chapter 7 Statistics
(i) We see that the class 30-35 has the maximum frequency
∴ It is the modal class
Here l = 30,f = 10, f1 = 9, f2 = 3, h = 5
Maths RD Sharma Class 10 Solutions Chapter 7 Statistics

Question 11.
Find the mean, median, and mode of the following data:
RD Sharma Class 10 Textbook PDF Chapter 7 Statistics
Solution:
Let assumed mean (A) =175
Maths RD Sharma Class 10 Solutions Chapter 7 Statistics
(i) Here N = 25, 53 = 252 = 12.5 or 13 which lies in the class 150-200
l= 150, F= 10, f= 6, h = 50
RD Sharma Class 10 Textbook PDF Chapter 7 Statistics
Maths RD Sharma Class 10 Solutions Chapter 7 Statistics

Question 12.
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.
10th Maths Solution Book Pdf Chapter 7 Statistics
Solution:
RD Sharma 10 Chapter 7 Statistics
We see that class 40-50 has the maximum frequency
∴ It is a modal class
10th Maths Solution Book Pdf Chapter 7 Statistics

Question 13.
The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean, and mode of the data and compare them:
RD Sharma Class 10 Book Pdf Chapter 7 Statistics
Solution:
Let assumed mean (A) = 135
Solution Of RD Sharma Class 10 Chapter 7 Statistics
Here N = 68 , N2 = 682 = 34
RD Sharma Class 10 Book Pdf Chapter 7 Statistics

Question 14.
100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:
Solution Of RD Sharma Class 10 Chapter 7 Statistics
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also, And the modal size of the surnames.
Solution:
Let Assumed mean (A) = 8.5
RD Sharma 10 Solutions Chapter 7 Statistics
(i) Here N = 100, N2 = 1002 = 50 which lies in the class 7-10
Here l = 7, F = 36, f= 40, h = 3
RD Sharma 10 Solutions Chapter 7 Statistics

Question 15.
Find the mean, median, and mode of the following data (C.B.S.E. 2008)
RD Sharma 10 Solutions Chapter 7 Statistics
Solution:
Let assumed mean A = 70
RD Sharma Maths Book For Class 10 Solution Chapter 7 Statistics
(i) Here N = 50, then N2 = 502 = 25 which lies in the class 60-80
∴ l= 60, F= 24, f = 12 , h = 20
RD Sharma Maths Book For Class 10 Solution Chapter 7 Statistics

Question 16.
The following data gives the distribution of total monthly household expenditure of 200 families of a village. .Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:
RD Sharma Maths Book For Class 10 Solution Chapter 7 Statistics
Solution:
RD Sharma Class 10 Maths Chapter 7 Statistics
(i) We see that the c ass 1500-2000 has a maximum frequency of 40
∴ It is a modal class
Here l = 1500, f = 40 , f1 = 24 , f2 = 33 , h =500
RD Sharma Class 10 Maths Chapter 7 Statistics

Question 17.
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
RD Sharma Class 10 Maths Chapter 7 Statistics
Find the mode of the data.
Solution:
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 7 Statistics
We see that class 4000-5000 has a maximum frequency of 18
∴It is a modal class
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 7 Statistics

Question 18.
The frequency distribution table of agriculture holdings in a village is given below:
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 7 Statistics
Find the modal agriculture holdings of the village.
Solution:
Here the maximum class frequency is 80,
and the class corresponding to this frequency is 5-7.
So, the modal class is 5-7.
l (lower limit of modal class) = 5
f1 (frequency of the modal class) = 80
f0 (frequency of the class preceding the modal class) = 45
f2(frequency of the class succeeding the modal class) = 55
h (class size) = 2
Answers Of RD Sharma Class 10 Chapter 7 Statistics
Hence, the modal agricultural holdings of the village are 6.2 hectares.

Question 19.
The monthly income of 100 families are given as below:
Answers Of RD Sharma Class 10 Chapter 7 Statistics
Solution:
In a given data, the highest frequency is 41, which lies in the interval 10000-15000.
Here, l = 10000,f1 = 41, f0 = 26,f2 = 16 and h = 5000
Answers Of RD Sharma Class 10 Chapter 7 Statistics

We have provided complete details of RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5. If you have any queries related to CBSE Class 10, feel free to ask us in the comment section below.

FAQs on RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5

Where can I get RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 Free PDF?

You can get RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 Free PDF from the above article.

What are the benefits of using RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5?

1. Correct answers according to the latest CBSE guidelines and syllabus.
2. The RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 is written in simple language to assist students in their board examination, & competitive examination preparation.

How is RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 helpful for board exams?

For self-evaluation, RD Sharma Class 10 Solutions Chapter 7 Exercise 7.5 provides solutions with thorough descriptions as per term limits specified by the Board. Students will gain valuable experience solving these problems, allowing them to complete the assignment on time.

Leave a Comment