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. the 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. the skew of the distribution is.

Answer

Explanation:

Step1: Arrange data in ascending order

The data set {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12} is already in ascending - order.

Step2: Calculate the median

There are $n = 12$ data points. The median for an even - numbered data set is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. $\frac{n}{2}=6$ and $\frac{n}{2}+1 = 7$. The 6th value is 11 and the 7th value is 11. The median is $\frac{11 + 11}{2}=11$.

Step3: Analyze the skew

The mean of the data set: $\bar{x}=\frac{9+9.5 + 10+10.5+10.5+11+11+11.5+11.5+11.5+12+12}{12}=\frac{130}{12}\approx10.83$. Since the mean ($\approx10.83$) 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.