Question

The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the​ 5-number summary. 3.0 3.5 4.5 5.5 6.5 6.5 7.0 7.0 7.0 7.0 7.0 7.5 8.0 9.0 9.0 9.0 9.5 9.5 9.5 9.5

Answer 1

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926