10:14 ANM mathxl.com Course Home Mat 120.051 Fall 2018 Alexus Jackson &1 9/22/18

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10:14 ANM mathxl.com Course Home Mat 120.051 Fall 2018 Alexus Jackson &1 9/22/18 10:14 AM Homework: CHAPTER 3 HOMEWORK Score: 0.83 of 1 pt 46 of 50 (43 complete) HW Score: 82.67%, 41.33 of 50 pts 3.3.29 Help 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. 1.0 1.5 2.5 3.5 4.5 4.5 5.5 5.5 5.5 5.5 5.5 6 7.0 70 70 70 80 90 95 9.5 The 5-number summary isa (Use ascending order. Type integers or decimals. Do not round.) answer in the edit fields and then click Check Answer.

Explanation / Answer

Five number summary :

Minimum

the minimum is 1.0.

First quartile

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

1.0   1.5   2.5   3.5   4.5   4.5   5.5   5.5   5.5   5.5   5.5   6.0   7.0   7.0   7.0   7.0   8.0   9.0   9.5   9.5   

So, the bottom half is

1.0   1.5   2.5   3.5   4.5   4.5   5.5   5.5   5.5   5.5   

The first quartile of these numbers is 4.5.

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

1.0   1.5   2.5   3.5   4.5   4.5   5.5   5.5   5.5   5.5   5.5   6.0   7.0   7.0   7.0   7.0   8.0   9.0   9.5   9.5   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median  = (5.5+5.5) / 2=5.5

Median  = 5.5

Third quartile :

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

1.0   1.5   2.5   3.5   4.5   4.5   5.5   5.5   5.5   5.5   5.5   6.0   7.0   7.0   7.0   7.0   8.0   9.0   9.5   9.5   

So, the upper half is

5.5   6.0   7.0   7.0   7.0   7.0   8.0   9.0   9.5   9.5   

The third quartile of these numbers is 7.

Maximum

the maximum is 9.5.

Five number summary : 1.0 ,4.5 , 5.5 , 7.0, 9.5

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