Question

1. Which statement is INCORRECT?

   		The value of the mean times the number of observations equals the sum of the observations.
   		The standard deviation is expressed in terms of the original units of measurement but the variance is not.
   		In a negatively skewed distribution, the mean is smaller than the median and the median is smaller than the mode.
   		The interquartile range is found by taking the difference between the 1st and 3rd quartiles and dividing that value by 2.

Answer 1

The goal is to identify incorrect option.

Correct options:

The standard deviation is expressed in terms of the original units of measurements but the variance is not.

The value of the mean times the number of observations equals the sum of observation.

That is,

In a negatively skewed distribution, the mean is less than median less than mode.

That is, mean < median < mode

In a negatively skewed distribution, the mean is smaller than the median and the median is smaller than the mode.

The incorrect option is, third option.

The inter-quartile range is found by the difference between the 1st quartile and 3rd quartile.

That is, IQR= Q3-Q1

Hence, the given statement,

"The inter-quartile range is found by the difference between the 1st quartile and 3rd quartile and dividing that value by 2" is incorrect.