Which of the following are the three properties of data A me

Which of the following are the three properties of data?

A. mean, median, mode

B. mean, standard deviation, skewness

C. location, dispersion, shape

D. none of the above

What does the standard deviation infer about the mean’s usefulness in portraying it as a “representative” average value of our data?

A. the larger the standard deviation the more representative the mean is as a “representative” average

B. the smaller the standard deviation the less representative the mean is as a “representative” average

C. the smaller the standard deviation the more representative the mean is as a “representative” average

D. none of the above

If the mean and the median are both larger than the mode, and the mean is greater than the median, what information about the shape of the distribution can we conclude?

A. it is symmetrical

B. it is bell-shaped

C. it is skewed to the right

D. it is skewed to the left

Solution

1.

It is OPTION B: Mean, standard deviation, skewness

2.

The smaller the standard deviation, the close the data to the mean.

Thus, it is OPTION C: the smaller the standard deviation the more representative the mean is as a “representative” average

3. It is skewed to the right, as most data points are less than (to the left of the mean).

Hence, SKEWED TO THE RIGHT. [OPTION C]