fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. which statements are…

fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. which statements are correct? check all that apply.\nfredricks data set contains an outlier.\nthe median value is 12 home runs.\nthe mean value is about 12.6 home runs.\nthe median describes fredricks data more accurately than the mean.\nthe mean value stays the same when the outlier is not included in the data set.

fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. which statements are correct? check all that apply.\nfredricks data set contains an outlier.\nthe median value is 12 home runs.\nthe mean value is about 12.6 home runs.\nthe median describes fredricks data more accurately than the mean.\nthe mean value stays the same when the outlier is not included in the data set.

Answer

Explanation:

Step1: Arrange data in ascending order

1, 12, 12, 12, 13, 13, 14, 15, 16, 18

Step2: Check for outlier

Most values are in the range 12 - 16, 1 is far - away, so there is an outlier.

Step3: Calculate median

There are 10 values. Median is the average of 5th and 6th values. $\frac{13 + 13}{2}=13$.

Step4: Calculate mean

Mean=$\frac{1+12 + 12+12+13+13+14+15+16+18}{10}=\frac{126}{10}=12.6$.

Step5: Analyze median vs mean

Due to the outlier 1, the mean is pulled down. Median (13) is a better representation.

Step6: Calculate mean without outlier

New sum=$12 + 12+12+13+13+14+15+16+18 = 125$, new mean=$\frac{125}{9}\approx13.9$, mean changes.

Answer:

Fredrick's data set contains an outlier. The mean value is about 12.6 home runs. The median describes Fredrick's data more accurately than the mean.