Question

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. fredricks data set contains an outlier. the median value is 12 home runs. the mean value is about 12.6 home runs. the median describes fredricks data more accurately than the mean. the mean value stays the same when the outlier is not included in the data set.

Explanation:

Step1: Arrange data in ascending order

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

Step2: Check for outlier

The value 1 is much lower than the other values, so the data - set contains an outlier.

Step3: Calculate the median

Since there are 10 data points, the median is the average of the 5th and 6th ordered values. $\frac{13 + 13}{2}=13$.

Step4: Calculate the mean

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

Step5: Analyze the effect of outlier on mean and median

The outlier (1) affects the mean more than the median. So the median describes the data more accurately than the mean.

Step6: Calculate the mean without the outlier

Mean without 1: $\frac{12 + 12+12+13+13+14+15+16+18}{9}=\frac{125}{9}\approx13.9$, the 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.