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9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and
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Q2 of 145 Page 407

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


Here, the maximum class frequency is 27.

The class corresponding to this frequency is the modal class. ⇒ modal class = 40 - 50


∴ lower limit of the modal class (l) = 40


More from this chapter

All 145 →
10

From the following data, draw the two types of cumulative frequency curves and determine the median.















































Height (in cm)



Frequency



140 - 144



3



144 - 148



9



148 - 152



24



152 - 156



31



156 - 160



42



160 - 164



64



164 - 168



75



168 - 172



82



172 - 176



86



176 - 180



34


1

Write the median class of the following distribution:























Class



0 - 10



10 - 20



20 - 30



30 - 40



40 - 50



50 - 60



60 - 70



Frequency



4



4



8



10



12



8



4


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.

4

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

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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