5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{045e10d2-1766-4399-aa0a-5619dd0cce0f-10_726_1509_255_278}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a histogram for the variable \(t\) which represents the time taken, in minutes, by a group of people to swim 500 m .
- Complete the frequency table for \(t\).
| \(t\) | \(5 - 10\) | \(10 - 14\) | \(14 - 18\) | \(18 - 25\) | \(25 - 40\) |
| Frequency | 10 | 16 | 24 | | |
- Estimate the number of people who took longer than 20 minutes to swim 500 m .
- Find an estimate of the mean time taken.
- Find an estimate for the standard deviation of \(t\).
- Find the median and quartiles for \(t\).
One measure of skewness is found using \(\frac { 3 ( \text { mean } - \text { median } ) } { \text { standard deviation } }\).
- Evaluate this measure and describe the skewness of these data.