Practise organising and interpreting data, calculating averages and spread, and constructing statistical diagrams from raw, grouped and cumulative information.
The box-and-whisker plot shows information about the mass, in kg, of some parcels.
Find the mass of the heaviest parcel.
Find the interquartile range.
200 students estimate the volume, , of a classroom. The cumulative frequency diagram shows their results.
Use the graph to find an estimate of
the interquartile range,
___ m^3
the 60th percentile,
___ m^3
the number of students who estimate that the volume is greater than .
The 200 students also estimate the total area, , of the windows in the classroom. The table shows their results.
Calculate an estimate of the mean.
You must show all your working.
___ m^2
Complete the histogram to show the information in the table.
The list shows 15 midday temperatures, in degrees Celsius, in Suntown.
Complete the stem-and-leaf diagram to show this information.
Key: represents
Find the median.
Find the upper quartile.
Rahul draws a pie chart to show this information.
Calculate the sector angle for the number of days the temperature is .
The box-and-whisker plot shows information about the masses, in grams, of some apples.
Find the median.
Find the range.
g
Find the interquartile range. g [1]
The time, t$ minutes, spent on homework in one week by each of 200 students is recorded. The table shows the results.
\begin{tabular}{|l||c|c|c|c|c|}
\hline Time (t$ minutes) & $40<t\leqslant60$ & $60<t\leqslant80$ & $80<t\leqslant90$ & $90<t\leqslant100$ & $100<t\leqslant150$ \\
\hline Frequency & 20 & 66 & 48 & 36 & 30 \\
\hline
\end{tabular}
Calculate an estimate of the mean.
A new table with different class intervals is completed.
\begin{tabular}{|l||c|c|}
\hline Time (t$ minutes) & $40<t\leqslant90 & $90<t\leqslant150$ \\
\hline Frequency & 86 & 114 \\
\hline
\end{tabular}
On a histogram the height of the bar for $40<t\leqslant90$ is 30.4 cm.
Find the height of the bar for $90<t\leqslant150$.