Math  /  Data & Statistics

QuestionA group of students took some tests. A teacher is analysing the average mark for each student. Each student obtained a different average mark.
For these average marks, the lower quartile is 24 , the median is 30 and the interquartile range (IQR) is 10
The three lowest average marks are 8,10 and 15.5 and the three highest average marks are 45, 52.5 and 56
The teacher defines an outlier to be a value that is either more than 1.5×1.5 \times IQR below the lower quartile or more than 1.5×1.5 \times IQR above the upper quartile
The outliers have been determined to be 8,52.58,52.5 and 56 On the grid below draw a box plot for these data, ignoring any outliers. (3 marks)

Studdy Solution
The box plot should have a box extending from **24** to **34**, with a median line at **30**.
The left whisker extends to **10**, and the right whisker extends to **45**.

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