Question

Twenty children were surveyed about the number of hours they play outside in 1 week. The results are shown below. 6,5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0,7 Complete and upload the frequency table below and create a histogram to display this data. Make sure there is only 4 intervals. Interval Frequency make sure you only make 4 intervals thanks

Answer 1

We have in total 20 observations.

We notice that the least value is 0 and the greater one is 7, this means that the range of the data is:

$R=7-0=7$

Now, we know that we want four intervals this means that we have to divide the range in 4 equal parts to find the length of each interval:

$\frac{7}{4}=1.75$

Now that we know the length we can construct our intervals:

$\begin{gathered} 0-1.75 \\ 1.75-3.5 \\ 3.5-5.25 \\ 5.25-7 \end{gathered}$

now we need to count how many of the observations are in each interval.

$\begin{gathered} 0-1.75\rightarrow3 \\ 1.75-3.5\rightarrow7 \\ 3.5-5.25\rightarrow7 \\ 5.25-7\rightarrow3 \end{gathered}$

Then the table is: