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.
2, 2.5, 3.0, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6.5, 6.5, 6.5, 7,7, 7.5, 7.5

Answer 1

The 5-number summary:

• Minimum value - 2
• Maximum value - 7.5
• First Quartile $(Q_1)$ - 4
• Third Quartile $(Q_3)$ - 6.5

• Median - 5

The box plot constructed is shown in the attachment.

Given:

2, 2.5, 3.0, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6.5, 6.5, 6.5, 7,7, 7.5, 7.5

The 5-number summary that we would use in constructing the box plot for the data are:

• Minimum value
• Maximum value
• First Quartile $(Q_1)$
• Third Quartile $(Q_3)$

• Median

Find each of the values as follows:

• Minimum value = 2 (represented on a box plot by the whisker at your extreme left.)

• Maximum Value = 7.5 (represented on a box plot by the whisker at your extreme right.)

• Median = the middle value in the data set = average of the 10th and 11th data set = $(\frac{5+5}{2} = 5)$. (represented by the vertical line that divides the box.
• First Quartile $(Q_1)$ = middle data value of the first half of the data set = $(\frac{4+4}{2}) = 4$ (represented at the edge of the beginning of the box).

• Third Quarter $(Q_3)$ = middle data value of he second half of the data set = $(\frac{6.5 +6.5}{2}) = 6.5$ (represented at the end of the edge of the rectangular box).

Therefore, the 5-number summary are:

• Minimum value - 2
• Maximum value - 7.5
• First Quartile $(Q_1)$ - 4
• Third Quartile $(Q_3)$ - 6.5

• Median - 5

See attachment below for the box plot constructed.

Learn more about box plot here:

https://brainly.com/question/16910781