select the correct answer from each drop - down menu. james needs to clock a minimum of 9 hours per day at…

select the correct answer from each drop - down menu. james needs to clock a minimum of 9 hours per day at work. the data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. the median number of hours james worked is \nthe skew of the distribution is

select the correct answer from each drop - down menu. james needs to clock a minimum of 9 hours per day at work. the data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. the median number of hours james worked is \nthe skew of the distribution is

Answer

Explanation:

Step1: Arrange data in ascending order

[9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 11.5, 12, 12] There are (n = 13) data - points.

Step2: Calculate the median

For a set of (n) data - points (where (n) is odd), the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{n+1}{2}=\frac{13 + 1}{2}=7) The 7th value in the ordered data - set is (11).

Step3: Analyze the skew

The mean of the data set (\bar{x}=\frac{9+9.5 + 10+10.5+10.5+11+11+11.5+11.5+11.5+11.5+12+12}{13}=\frac{142}{13}\approx10.92) Since the mean ((\approx10.92)) is less than the median ((11)), the distribution is negatively skewed.

Answer:

The median number of hours James worked is (11). The skew of the distribution is negative.