Answer:
a) 46.1
b) 46
c) Two modes: 46, 41
Step-by-step explanation:
We are given the following sample of hours per week:
50, 53, 46, 46, 49, 43, 41, 41
a) mean of this data set
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{369}{8} = 46.1[/tex]
b) Median of data set
[tex]Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}[/tex]
Sorted data:
41, 41, 43, 46, 46, 49, 50, 53
Median =
[tex]=\dfrac{4^{th}+5^{th}}{2} = \dfrac{46+46}{2} = 46[/tex]
The median of data is 46.
c) Mode of the data set
Mode is the most frequent observation in the data.
The mode of the data are 46 and 41 as they appeared two times.
Thus, there are two modes.
