80f 12(1 con The following is a set of data from a sample of n -6. 9611 9518 a.

Question

80f 12(1 con The following is a set of data from a sample of n -6. 9611 9518 a. Compute the first quartile (Q1), the third quarile (Q3), and the interquartile range. b. List the five-number summary c. Construct a boxplot and describe the shape. a. The first quartile is The third quartile is The interquartile range is b. The five-number summary is D D D D (Use ascending order.) c. Which of the following is the correct boxplot? OA. OB. : 0 5 10 15 20 5 10 15 20 Click to select your answer(s). A: See Answer

Explanation / Answer

(a)

First quartile ( Q1 ) :

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers.

5   6   9   9   11   18

So, the bottom half are 5   6   9  

So, First quartile ( Q1 ) = 6

Third quartile ( Q3 ) : The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, the bottom half are    9   11   18  

So, third quartile ( Q3 ) = 11

Interquartile range:

The interquartile range is the difference between the third and first quartiles.

The third quartile is 11.

The first quartile is 6.

The interquartile range = 11 - 6 = 5.

(b) Five number-summary

Min = 5

First quartile ( Q1 ) = 6

median = 9

Third quartile ( Q3 ) = 11

Max = 18

(c) Answer: Option (c)

Shape: Slightly right skewed

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