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9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and
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Q13 of 145 Page 407

If the median of and , where x > 0, is 8, find the value of x.

Arranging the values x/5, x/4, x/2, x and x/3 in ascending order, we get

x/5, x/4, x/3, x/2 and x


Here, median is x/3 as it is the middle value amongst all values.


Given: median = 8


⇒ x/3 = 8


⇒ x = 24


Hence, x = 24


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11

The observations 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?

12

The median of 19 observations is 30. Two more observations are made and the values of these are 8 and 32. Find the median of the 21 observations taken together.

14

What is the cumulative frequency of the modal class of the following distribution?























Class



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6 - 9



9 - 12



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13



10



23



4



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16


15

Find the mode of the given data:

















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6



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Questions · 145
9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
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