Mathematics 0580 · IGCSE · Averages and measures of spread

Averages and measures of spread — practice question

A reaction test was taken by 100 students. The results are listed in the table. Reaction time in seconds: 6, 7, 8, 9, 10, 11 Frequency of students: 3, 32, 19, 29, 11, 6
(a(i))[1]

State the mode.

(a(ii))[1]

Find the median.

(a(iii))[3]

Calculate the mean.

(a(iv))[2]

Find the probability that both reaction times are greater than or equal to 9 seconds.

(b(i))[1]

Find the range.

(b(ii))[1]

Find the interquartile range.

(c(i))[4]

Calculate an estimate of the mean.

(c(ii))[2]

Complete the histogram so that it displays the information in the table.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The mode is $7$.

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