Question

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

Age (in years) Number of children
1 − 2 5
2 − 3 3
3 − 5 6
5 − 7 12
7 − 10 9
10 − 15 10
15 − 17 4

Draw a histogram to represent the data above.

Class 9 - Math - Statistics Page 261"

Answer 1

Histogram is a graphical representation of a grouped frequency distribution in exclusive form ( 0-10, 10-20) with continuous classes in the form of rectangles with class intervals as bases and the corresponding frequencies as Heights.

There is no gap between any two consecutive rectangles

We know that the area of the rectangles are proportional to the frequencies in a histogram.
Here the widths of the rectangles are varying.

So we need to make certain modification in the length of the rectangles, so that the areas are become proportional to the frequencies.

The minimum class size is 1.

Length of a rectangle (adjusted frequency)=(minimum class size / class size of this class) × frequency.

The modified table of given data is in the attachment.

& the histogram with varying width is in the attachment.

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Hope this will help you..

Answer 2

Hey mate here is ur answer