Question

1. We have the following intelligence scores: 95, 100, 100, 100, 100, 105, 105.
If these data represented the population, what could we conclude about kurtosis?

Answer 1

We have the data 95, 100, 100, 100, 100, 105, 105

only three distinct data values are there in the sample, i.e. 95,100,105

So, we can say that there is no skewness due to less number of data items and limited number of distinct data value.

Kurtosis tells us about the data distribution, i.e. it tells us whether the data is less skewed or more skewed as compared to the normal distribution.

histogram for the given data set is attached below

We can see that there is very less skewness in the histogram or we can say that data is light tailed on the left hand side.

So, Kurtosis will be small and must be less than 3 for this data set because there is low skewness in the data