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.
[tex]\sum f_ix_i=(2)1+(3)2+(4)3+(5)4+(5)5+(3)6+(2)7+(0)8+(1)9[/tex]
[tex]\sum f_ix_i=2+6+12+20+25+18+14+0+9[/tex]
[tex]\sum f_ix_i=106[/tex]
Total number of observation n= 25
[tex]Mean=\frac{\sum f_ix_i}{n}[/tex]
[tex]M=\frac{106}{25}[/tex]
[tex]M=4.24[/tex]
Therefore, Option A is correct.
The mean is the best choice because the data is nearly symmetrical.
