Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
In a summer camp, $250$ children sit an arithmetic test. The times taken, correct to the nearest minute, to finish the test were noted. The results are shown in the table:
Time taken (in minutes): $1\!\text{-}\!30$, $31\!\text{-}\!45$, $46\!\text{-}\!65$, $66\!\text{-}\!75$, $76\!\text{-}\!100$
Frequency: $21$, $30$, $68$, $86$, $45$.
(a)[4]
Draw a histogram to show this information.
(b)[1]
State the class interval that contains the median.
(c)[1]
Given that the mean time is estimated as $61.05$ minutes, state the feature of the distribution that explains why the median and the mean are different.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “At least four frequency densities correctly found” …