Karnataka Board Solutions for Chapter: Solved Examples, Exercise 14: Exercise 14

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Karnataka Board Mathematics Solutions for Exercise - Karnataka Board Solutions for Chapter: Solved Examples, Exercise 14: Exercise 14

Attempt the free practice questions on Chapter NA: Solved Examples, Exercise 14: Exercise 14 with hints and solutions to strengthen your understanding. Mathematics 10 : Part II solutions are prepared by Experienced Embibe Experts.

Questions from Karnataka Board Solutions for Chapter: Solved Examples, Exercise 14: Exercise 14 with Hints & Solutions

HARD
10th Karnataka Board
IMPORTANT

The marks obtained by 30 students of Class X of a certain school in Mathematics paper consisting of 100 marks are presented in the table below. Find the mean of the marks obtained by the students.

Marks obtained xi 10 20 36 40 50 56 60 70 72 80 88 92 95
Number of students fi 1 1 3 4 3 2 4 4 1 1 2 3 1

 

HARD
10th Karnataka Board
IMPORTANT

The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method. What does the mean signify?

Number of wickets 20-60 60-100 100-150 150-250 250-350 350-450
Number of bowlers 7 5 16 12 2 3

 

MEDIUM
10th Karnataka Board
IMPORTANT

The wickets taken by a bowler in 10 cricket matches are as follows:

2 6 4 5 0 2 1 3 2 3

Find the mode of the data.

HARD
10th Karnataka Board
IMPORTANT

A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household:

Family size 1-3 3-5 5-7 7-9 9-11
Number of families 7 8 2 2 1

Find the mode of this data.

HARD
10th Karnataka Board
IMPORTANT

The marks distribution of 30 students in a mathematics examination is given in the table. Find the mode of this data. Also, compare and interpret the mode and the mean.

Class interval 10-25 25-40 40-55 55-70 70-85 85-100
Number of students 2 3 7 6 6 6

 

MEDIUM
10th Karnataka Board
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 Karnataka Board
IMPORTANT

The median of the following data is 525. Find the values of x and y, if the total frequency is 100.

Class Interval Frequency
0-100 2
100-200 5
200-300 x
300-400 12
400-500 17
500-600 20
600-700 y
700-800 9
800-900 7
900-1000 4

 

HARD
10th Karnataka Board
IMPORTANT

The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution:

Profit (in lakhs in ₹) Number of shops
More than or equal to 5 30
More than or equal to 10 28
More than or equal to 15 16
More than or equal to 20 14
More than or equal to 25 10
More than or equal to 30 7
More than or equal to 35 3

Draw both ogives for the data above. Hence obtain the median profit.