Question 80
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 were:
6, 25, 39, 62, 65, 74, 80, 94, 125, 127, 154, kkk, 184, 210, 251
where 154<k<184154<k<184154<k<184.
a.[3]
Find the median and quartiles for these data, giving your answers in terms of kkk.
b.[3]
A value that is greater than Q3+1.5×(Q3−Q1)Q_3 + 1.5 \times (Q_3 - Q_1)Q3+1.5×(Q3−Q1) or smaller than Q1−1.5×(Q3−Q1)Q_1 - 1.5 \times (Q_3 - Q_1)Q1−1.5×(Q3−Q1) is defined as an outlier. Show that there are no outliers.
c.[2]
Draw a box plot for these data.
Representations of Data Questions
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.