for distribution karl pearsons coefficient of skewness is 0.64 standard deviation is 13 and mean is 59.2. find mode and median
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Mode is 50.88 and the median is 34.24
Step-by-step explanation To find mode:
- The formula to calculate mode from the Karl Pearson's coefficient of skewness, standard deviation, and mean is
- Karl Pearson's coefficient of skewness = Mean−Mode/S.D.
- 0.64 = 59.2-Mode/13
- 0.64 x 13 = 59.2-Mode
- Mode = 59.2 -(13 x0.64)
- Mode = 50.88
Step-by-step explanation To find the median:
- The formula to calculate mode from the Karl Pearson's coefficient of skewness, standard deviation, and mean is
- Karl Pearson's coefficient of skewness = 3(Mean−Median)/S.D.
- 0.64 = 3(59.2-Median)/13
- 0.64 x 13 = 3(59.2-Mode)
- Mode = 59.2 -((13 x0.64)/3)
- Mode = 34.24
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