KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3

Students can Download Class 8 Maths Chapter 13 Statistics Ex 13.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

Karnataka State Syllabus Class 8 Maths Chapter 13 Statistics Ex 13.3

Question 1.
Runs scored by 10 batsman in a one day cricket match are given. Find the average run scored. 23, 54, 08, 94, 60, 18, 29, 44, 05, 86
Answer:
Σ x = 23 + 54 + 08 + 94 + 60 + 18 + 29 + 44 + 05 + 86 = 421
N = 10
Average = Mean = \(\overline{X}=\frac{\Sigma x}{N}=\frac{421}{10}=42.1\)

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3

Question 2.
Find the mean weight form the following table:

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 1
Answer:
KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 2

Mean = \frac{\Sigma f_{X}}{N}=\frac{473}{15}=31.53

Question 3.
Calculate the mean for the following frequency distribution.

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 3

Answer:
KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 4
Mean = \frac{\Sigma f_{x}}{N}=\frac{1710}{40}=42.75Answer:

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3

Question 4.
Calculate the mean for the following frequency distribution.KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 5
Answer:

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 6
Mean = \overline{X}=\frac{\Sigma f_{X}}{N}=\frac{1145}{40}=28.625

Question 5.
Find the median of the data 15,22, 9,20, 6,18,11,25,14.
Answer:
6, 9, 11, 14,(15), 18, 20, 22,25 (Ascending order)
N = 9,
\(\frac{N+1}{2}+\frac{9+1}{2}=\frac{10}{2}=5^{\text { th }}\)
Median = 15.

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3

Question 6.
Find the median of the data 22, 28, 34, 49, 44, 57, 18, 10, 33, 41, 66, 59
Answer:
10, 18, 22, 28, 33, 34, 41, 44, 49, 57, 59, 66 (Ascending order)
N = 10
∴ Median = \(\frac{34+41}{2}=\frac{75}{2}=37.5\)

Question 7.
Find the median for the following frequency distribution table.

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 7
Answer:

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 8
N = 50

\frac{\mathrm{N}}{2}=\frac{50^{25}}{\not 2}=25
∴ Median class is 130 – 139
LRL = 129.5
Fc = 14
Fm = 15
i = 10
KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 9

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3

Question 8.
Find the median for the following frequency distribution table.

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 10
Answer:

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 11
N = 40
\frac{N}{2}=\frac{40}{2}=20
∴ Median class is 15 – 20
LRL = 15
Fc = 17
Fm = 9
i = 5
KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 12

Question 9.
Find the mode for the following data.
(i) 4,3,1,5,3, 7, 9,6
Answer:
Mode = 3
(ii) 22,36,18,22,20,34,22, 42, 46,42
Answer:
Mode = 22

Question 10.
Find the mode for the following data

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3 13
Answer:
Mode = 20 (It has the highest frequency)

KSEEB Solutions for Class 8 Maths Chapter 13 Statistics Ex 13.3