State true or false.

The marks scored by $55$ students in a test are given below:

The cumulative frequency table is as follows:

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True

False

answer is A.

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Detailed Solution

Given that, a table of data of

55

students.

The cumulative frequency table is formed by adding frequency of the previous marks to get the current one.
For the interval 0 – 5, the frequency is 2.
The cumulative frequency is 2.
For the interval 5 - 10, the frequency is 6.
The cumulative frequency is 2 + 6 = 8.
For the interval 10 - 15, the frequency is 13.
The cumulative frequency is 8 + 13 = 21.
For the interval 15 - 20, the frequency is 17.
The cumulative frequency is 21 + 17 = 38.
For the interval 20 - 25, the frequency is 11.
The cumulative frequency is 38 + 11 = 49.
For the interval 25 - 30, the frequency is 4.
The cumulative frequency is 49 + 4 = 53.
For the interval 30 - 35, the frequency is 2.
The cumulative frequency is 53 + 2 =55.
Hence, the table of cumulative frequency table is:
Question Image

Hence, the given table is true.
Hence, option 1 is correct.

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