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2.2 Data Presentation and Interpretation

2.2 Data Presentation and Interpretation

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Question 10
55%

In a study of how students use their mobile telephones, the phone usage of a random sample of 11 students was examined for a particular week. The total length of calls, y y\,y minutes, for the 11 students were:

17, 23, 35, 36, 51, 53, 54, 55, 60, 77, 110

a.

Find the median and quartiles 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 110 is the only outlier.

[3]
c.

Draw a box plot for these data indicating clearly the position of the outlier.

[3]
Markscheme

2.2 Data Presentation and Interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 Data Presentation and Interpretation

121 exam-style questions on OCR A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Tables and diagrams for single variable data, 2.2.2 Area in a histogram, 2.2.3 Scatter diagrams and regression lines, 2.2.4 Informal interpretation of correlation, 2.2.5 Correlation and causation, 2.2.6 Measures of average and spread, 2.2.7 Calculations of mean and standard deviation, 2.2.8 Outliers, 2.2.9 Selecting or critiquing data presentation, and 2.2.10 Cleaning data. Each one has a worked solution and a mark scheme showing where the marks go.

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