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A random survey of the number of children of various age groups playing in a park was found as follows: Age (in years - Mathematics

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प्रश्न

A random survey of the number of children of various age groups playing in a 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.

आलेख

उत्तर

Here, it can be observed that the data has class intervals of varying width. The proportion of children per 1 year interval can be calculated as follows.

Age (in years) Frequency (Number of children) Width of the class Length of the rectangle
1 - 2 5 1 `(5 xx 1)/1` = 5
2 - 3 3 1 `(3 xx 1)/1` = 3
3 - 5 6 2 `(6 xx 1)/2` = 3
5 - 7 12 2 `(12 xx 1)/2` = 6
7 - 10 3 `(9 xx 1)/3` = 6
10 - 15 10 5 `(10 xx 1)/5` = 2
15 - 17 4 2 `(4 xx 1)/2` = 2

Taking the age of children on the x-axis and the proportion of children per 1 year interval on the y-axis, the histogram can be drawn as follows:

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अध्याय 14: Statistics - Exercise 14.3 [पृष्ठ २६१]

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एनसीईआरटी Mathematics [English] Class 9
अध्याय 14 Statistics
Exercise 14.3 | Q 8 | पृष्ठ २६१

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