Question

23. A group of students were asked how many hours they worked per day. The results are shown below.Number of HoursFrequency2933495863710Find the mean and median for the number of hours worked per student. Round your answers to the nearest hundredth.Mean = Median =

Answer 1

Step 1:

In this question, we are given that:

A group of students were asked how many hours they worked per day.

The results are shown below:

Number of HoursFrequency Fi Xi

2 9 18

3 3 9

4 9 36

5 8 40

6 3 18

7 10 70

Total: 42 191

Step 2:

The mean for the number of hours per student can be calculated thus:

`\begin{gathered} Mean\text{ = }(191)/(42)\text{ = 4.547619048} \\ \text{Mean }\approx\text{ 4.55 (to the hundredth)} \end{gathered}`

Step 3:

The median for the number of hours can be calculated thus:

`(42)/(2)\text{ = 21 st number lies on frequency 9 which corr}esponds\text{ to 4}`

From the solution, we can see that the median = 4.00