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If a distribution is skewed right, then the median for this population is smaller than the...

If a distribution is skewed right, then the median for this population is smaller than the median for the sampling distribution of sample means with sample size 80.

True or False

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If a distribution is skewed right, then the median for this population is smaller than the median for the sampling distribution of sample means with sample size 80.

Ans: False

Median is the middle value that has equal number of observations above as well as below it. Therefore median is not skewed so much by a small proportion of extremely large or small values

For the right skewed distribution of the data, the mode is less than the median and which is less than the mean(mode<median<mean). The right skewed distribution has a long tail along its right side. i.e. most of the observations have smaller values therefore peak of the distribution is on the left side.

From central limit theorem, the sampling distribution of any skewed distribution tends to follow normal distribution.

Normal distribution is symmetric i.e. its mean=median=mode.

therefore for sample size =80 ,which is large ,so medians are nearly equal.

orchestra answered 1 year ago
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