Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
In a survey, 55 students were asked to note, to the nearest kilometre, the total number of kilometres they travelled to school during one particular week. The results are shown below:
$5,\ 5,\ 9,\ 10,\ 13,\ 13,\ 13,\ 15,\ 15,\ 15,\ 15,$
$16,\ 18,\ 18,\ 18,\ 19,\ 19,\ 20,\ 20,\ 20,\ 20,\ 21,$
$21,\ 21,\ 23,\ 25,\ 25,\ 27,\ 27,\ 29,\ 30,\ 33,$
$35,\ 38,\ 39,\ 40,\ 42,\ 45,\ 48,\ 50,\ 50,\ 51,\ 51,$
$52,\ 55,\ 57,\ 57,\ 60,\ 61,\ 64,\ 65,\ 66,\ 69,\ 70$.
(i)[5]
Use the grid to draw a box-and-whisker plot for the data.
(ii)[2]
An ‘outlier’ is any data value that lies more than $1.5$ times the interquartile range above the upper quartile, or more than $1.5$ times the interquartile range below the lower quartile. Demonstrate that there are no outliers.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Median shown correctly, for example $25$” …