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2.5 Data presentation and interpretation

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Question 22

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, 159, 184, 210, 251

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 there are no outliers.

[3]
c.

Draw a box plot for these data.

[2]

2.5 Data presentation and interpretation Questions

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  3. /2.5 Data presentation and interpretation