A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 31 players. A number line going from 1 to 9. 2 dots are above 1. 3 dots are above 2. 4 dots are above 3. 5 dots are above 4. 5 dots are above 5. 3 dots are above 6. 2 dots are above 7. 0 dots are above 8. 1 dot is above 9. Which measure of center is best to use to determine the expected number of strokes required for the ninth hole? a. The mean is the best choice because the data is nearly symmetrical. b. The median is the best choice because data is clustered. c. The mean is the best choice because the data is skewed to the right. d. The median is the best choice because the data is skewed to the left.

The mean is a good measure of central tendency because it takes into account all of the data compared to other. One of the instance where the mean is not good measure is when there are outliers ( extreme values) in the data in this case the median is better. In the scenario in the question the data set is nearly symmetrical therefore the mean is best central tendency measure to use

smokstika smokstika · Answer 2 · 2020-04-23T21:09:25+02:00

Answer:

Option A - The mean is the best choice because the data is nearly symmetrical.

Step-by-step explanation:

Given : A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players.

To find : Which measure of center is best to use to determine the expected number of strokes required for the ninth hole?

Solution :

To determine the expected number of strokes required for the ninth hole the best measure of center is the mean of the data as the data is nearly symmetrical about the center point 4 and 5.

We can also find the mean of the data,

Mean is defined as the sum of observation divided by number of observation.

i.e, Sum of observation is

Referring the dot plot of ninth hole strokes

Total number of observation n= 25

Therefore, Option A is correct.

The mean is the best choice because the data is nearly symmetrical.