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Construction of a cumulative frequency table is useful in determining the
d. all the above three measures
Cumulative frequency is the total of a frequency and all frequencies in a frequency distribution until a certain defined class interval.
Cumulative frequency helps to find out the median of the series.
Therefore, the Cumulative frequency table is useful in determining the median.
✦ Try This: The median and mode of a frequency distribution are 525 and 500 then mean of same frequency distribution is a. 75, b. 107.5, c. 527.5, d. 537.5
We know that
Mode = 3 median - 2 mean
It is given that
Median = 525
Mode = 500
Substituting the values
500 = 3 (525) - 2mean
2 mean = 1575 - 500
2 mean = 1075
So we get
Mean = 1075/2 = 537.5
Therefore, the mean of the frequency distribution is 537.5.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14
NCERT Exemplar Class 10 Maths Exercise 13.1 Sample Problem 1
Construction of a cumulative frequency table is useful in determining the a. mean, b. median, c. mode, d. all the above three measures
Construction of a cumulative frequency table is useful in determining the median
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