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9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and
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Q4 of 145 Page 407

A data has 25 observations arranged in a descending order. Which observation represents the median?

Since we have 25 observations, that is odd number of observations, median is found at position.

So since, n = 25


⇒ Median will be found at position. ⇒ Median = 13th observation


More from this chapter

All 145 →
2

What is the lower limit of the modal class of the following frequency distribution?





















Age (in years)



0 - 10



10 - 20



20 - 30



30 - 40



40 - 50



50 - 60



60 Number of patients



16



13



6



11



27



18


3

The monthly pocket money of 50 students of a class are given in the following distribution:





















Monthly pocket money (in Rs.)



0 - 50



50 - 100



100 - 150



150 - 200



200 - 250



250 - 300



Number of students



2



7



8



30



12



1



Find the modal class and also give class mark of the modal class.

5

For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.

6

In a class test, 50 students obtained marks as follows:



















Marks obtained



0 - 20



20 - 40



40 - 60



60 - 80



80 - 100



Number of students



4



6



25



10



5



Find the modal class and the median class.

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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