Question

create a dot plot of the data shown below. 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24 which measure of center would best describe a typical value of the data set? why? would be best, because the data distribution is nearly symmetrical skewed neither symmetrical nor skewed

Explanation:

Step1: Create dot - plot

On the number line, for 20 place 2 dots, for 21 place 2 dots, for 22 place 1 dot, for 23 place 3 dots, for 24 place 3 dots, for 25 place 2 dots, for 26 place 1 dot, for 27 place 1 dot.

Step2: Analyze data distribution

Count the frequencies of each value. The data set is 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24. The distribution is nearly symmetric as the frequencies on either side of the center values are relatively balanced.

Step3: Select measure of center

For a nearly symmetric distribution, the mean is the best measure of center as it takes into account all values in the data - set and represents the balance point.

Answer:

The mean would be best, because the data distribution is nearly symmetrical.