todd recorded how many throws he took at each hole during his game at drifters disc golf course. disc golf…

todd recorded how many throws he took at each hole during his game at drifters disc golf course. disc golf game number of throws complete the sentences. the median of the data is _ throws. the mean is _ throws. if the outlier in this distribution were removed, the ______ would change. 3 ... 4 ... mean 3 ... 4 ... median 4 ... 4 ... mean 4 ... 4 ... median

todd recorded how many throws he took at each hole during his game at drifters disc golf course. disc golf game number of throws complete the sentences. the median of the data is _ throws. the mean is _ throws. if the outlier in this distribution were removed, the ______ would change. 3 ... 4 ... mean 3 ... 4 ... median 4 ... 4 ... mean 4 ... 4 ... median

Answer

Answer:

4 ... 4.5 ... mean

Explanation:

Step1: Find the number of data - points

There are 2 + 1+ 3+ 2 + 1=9 data - points.

Step2: Find the median

Arrange the data in ascending order: 1,1,3,4,4,4,5,5,9. Since (n = 9) (odd), the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{9+1}{2}=5) - th value, which is 4.

Step3: Calculate the mean

The mean (\bar{x}=\frac{1\times2 + 3\times1+4\times3+5\times2 + 9\times1}{9}=\frac{2 + 3+12 + 10+9}{9}=\frac{36}{9}=4.5).

Step4: Identify the outlier

The outlier is 9 as it is far from the other data - points.

Step5: Analyze the effect of removing the outlier

If we remove 9, the new data - set is 1,1,3,4,4,4,5,5 with (n = 8) data - points. The new median is (\frac{4 + 4}{2}=4), and the new mean is (\frac{1\times2+3\times1 + 4\times3+5\times2}{8}=\frac{2+3 + 12+10}{8}=\frac{27}{8}=3.375). The mean changes while the median remains 4.