In a study of how much time students spend on social media, usage of a random sample of 15 students was examined for a particular day.
The total time of usage, x x\,x minutes, for the 15 students was
6, 25, 39, 62, 65, 74, 80, 94, 125, 127, 154, k, 184, 210, 251 6,\ 25,\ 39,\ 62,\ 65,\ 74,\ 80,\ 94,\ 125,\ 127,\ 154,\ k,\ 184,\ 210,\ 251 6, 25, 39, 62, 65, 74, 80, 94, 125, 127, 154, k, 184, 210, 251where 154<k<184154<k<184154<k<184.
Find the median and quartiles for these data, giving your answers in terms of kkk.
Show that there are no outliers.
For k=170k=170k=170, draw a box plot for these data.

160 exam-style questions on Edexcel A Level Maths Representations of Data, covering 3.1 Outliers, 3.2 Box Plots, 3.3 Cumulative Frequency, 3.4 Histograms, and 3.5 Comparing Data. Each one has a worked solution and a mark scheme showing where the marks go.