Which of the following options is - are correct- Height cm Frequency F Cumulative Frequency 130 3 3 132 4 A 133 B 9 135 2 11 138 C 16 139 1 D 140 3 E 142 4 F A- B-2 B- C -6C- D -17D- F -24

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Standard IX

Mathematics

Median of Frequency Distribution

Which of the ...

Question

Which of the following option(s) is / are correct?

B = 2

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C = 6

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D = 17

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F = 24

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Solution

The correct options are
A B = 2
C D = 17
D F = 24
We know that,
the cumulative frequency of a set of data of a frequency table is the sum of the frequencies of the data up to a required level.

Thus,
A = 3 + 4 = 7

B = 9 - A = 9 - 7 = 2

C = 16 - 11 = 5

D = 16 + 1 = 17

E = D + 3 = 17 + 3 = 20

F = E + 4 = 20 + 4 = 24

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