Question

For a grouped frequency distribution _____ is equal to the value corresponding to cumulative frequency N/2





1) 1st Quartile
2) Median
3) 3rd Quartile
4) None​

Answer 1

Given : For a grouped frequency distribution _____ is equal to the value corresponding to cumulative frequency N/2

To Find : Fill in the blank

Solution:

For a grouped frequency distribution Median is equal to the value corresponding to cumulative frequency N/2

Median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.

Hence equal to the value corresponding to cumulative frequency N/2

The lower quartile Q₁ , or the first quartile, is the median of the lower half of the data in a set. Hence  equal to the value corresponding to cumulative frequency (N/2)/2 = N/4

The upper quartile  Q₃ , or the third quartile, is the median of the upper half of the data in a set.   Hence  equal to the value corresponding to cumulative frequency (N/2 + N)/2 = 3N/4

Correct answer is MEDIAN

Correct option is 2) Median

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