Find the mean if the median and mode of a frequency distribution are 2

1.	Find the mean if the median and mode of a frequency distribution are 26 and 29 respectively.
Answer» Relation between mean, median and mode is Mode = 3 median – 2mean. … (1) Given that median and mode of frequency distribution are 26 and 29 respectively. i.e., median = 26 and mode = 29. Now, putting the values of median and mode in equation (1), we get 29 = 3 × 26 – 2 Mean ⇒ 2 Mean = 78 – 29 = 49 ⇒ Mean = \(\frac{49}2\) = 24.5. Hence, the mean of the frequency distribution is 24.5.

Find the mean if the median and mode of a frequency distribution are 26 and 29 respectively.

Answer»

Relation between mean, median and mode is

Mode = 3 median – 2mean. … (1)

Given that median and mode of frequency distribution are 26 and 29 respectively.

i.e., median = 26 and mode = 29.

Now, putting the values of median and mode in equation (1), we get

29 = 3 × 26 – 2 Mean

⇒ 2 Mean = 78 – 29 = 49

⇒ Mean = \(\frac{49}2\) = 24.5.

Hence, the mean of the frequency distribution is 24.5.

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Find the mean if the median and mode of a frequency distribution are 26 and 29 respectively.

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