NCERT Class 9 Solutions: Statistics (Chapter 14) Exercise 14.3-Part 3

Q-7 The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

Runs scored by two teams in cricket match
Runs scored by two teams A and B in 60 balls of cricket match

Number of balls

Teams A

Team B

Equation

2

5

Equation

1

6

Equation

8

2

Equation

9

10

Equation

4

5

Equation

5

6

Equation

6

3

Equation

10

4

Equation

6

8

Equation

2

10

Represent the table data of both the teams on the same graph by frequency polygons.

[Hint: First make the class intervals continuous.]

Solution:

Convert to continuous frequency distribution:

Difference between lower limit of class and upper limit of preceding class: Equation

Hence, Equation added to each upper class limit and subtract from the lower class limits.

Class marks Equation

Obtain distribution is given as under:

Obtain continuous frequency distribution
Obtain continuous frequency distribution

Number of balls

Class marks

Team A

Team B

Equation

3.5

2

5

Equation

9.5

1

6

Equation

15.5

8

2

Equation

21.5

9

10

Equation

27.5

4

5

Equation

33.5

4

5

Equation

39.5

6

3

Equation

45.5

10

4

Equation

51.5

6

8

Equation

57.5

2

10

Class mark on x-axis and number of balls on y-axis

Drawn the graph:

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Created with Highcharts 4.2.5Number of ballsRuns scoredNumber of balls Vs Runs scored21894561062562105634810Team ATeam B3.59.515.521.527.533.539.545.551.557.563.502.557.51012.563.5Team B: 10

Q-8 A random survey of the number of children of various age groups playing in park was found as follows:

Draw a histogram to represent the data of table
Draw a histogram to represent the data of table

Age (in years)

Number of children

Equation

5

Equation

3

Equation

6

Equation

12

Equation

9

Equation

10

Equation

4

Draw a histogram to represent the data above.

Solution:

As given frequency data in class size are different.

So, we calculate adjusted frequency for each class using formula:

Adjusted frequency Equation

Here, minimum class size Equation

Find the adjusted frequency to draw histogram
Find the adjusted frequency to draw histogram

Age (In year)

Frequency (number of children)

Width of classes

Adjusted Frequency

Equation

5

1

Equation

Equation

3

1

Equation

Equation

6

2

Equation

Equation

12

2

Equation

Equation

9

3

Equation

Equation

10

5

Equation

Equation

4

2

Equation

In below chart age of children on x-axis

Proportion of children per 1 year interval on y-axis

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Created with Highcharts 4.2.5Age (in years)Proportion of children per 1 year intervalAge (in years) Vs Proportion of children per 1 year intervalAge (in years) Vs Proportion of children per 1 year interval1-22-33-55-77-1010-1515-17024681-2Age (in years) Vs Proportion of children per 1 year interval: 5

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