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Representations of Data

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Question 96

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:

7, 21, 36, aaa, 67, 73, 81, bbb, 115, 129, 153, ccc, 187, 214, 249

The median and quartiles for these data are 98, 59 and 166 respectively.

a.

Find aaa, b b\,b and c c\,c for these data.

[3]
b.

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.

[3]
c.

Draw a box plot for these data.

Blank grid for a box plot

[2]
Markscheme

Representations of Data Questions

  1. A Level
  2. /Maths
  3. /Representations of 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.

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