Question

if the first quartile and mean deviation about median of a normal distribution are 13.25 and 8 respectively , mode is​

Answer 1

Answer:

Mode = 20

Step-by-step explanation:

Given :

1st Quartile = 13.25

Mean Deviation about Median = 8

Mean Deviation about Median = 0.8 SD   (SD - Standard Deviation)

=> 8 = 0.8SD

=> SD = 10

1st Quartile  = Mean – 0.6755 SD

=> 13.25 = Mean - 0.675*10

=> Mean = 13.25 + 6.75

=> Mean = 20

The mean, median, and mode of a normal distribution are equal.

=> Mode = mean = 20

Mode = 20

Answer 2

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