Question

uestion 5 (1 point) If μ=5.06 and σ=1.27, find the z-score for x=6.87. Question 5 options: 1.43 2.89 -1.43 -2.89

Question 6 (1 point) If μ=63.81 and σ=7.94, find the z-score for x=50.16. Question 6 options: -1.72 -1.719 1.72 1.719

Question 7 (1 point) Use the following set of sample values to answer the question. 33 36 27 30 35 25 19 23 36 10 20 23 13 21 16 37 26 37 12 32

What is the IQR (interquartile range)? Question 7 options: 14.5 19.5 34 53.5 Question 8 (1 point) Saved Use the following set of sample values to answer the question. 31 23 28 27 19 18 22 19 30 17 13 21 37 10 12 20 13 33 24 26 What is the value of Q3? Question 8 options: 10 45 17.5 27.5

Answer 1

5.

6.

7.

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.

10   12   13   16   19   20   21   23   23   25   26   27   30   32   33   35   36   36   37   37   

So, the bottom half is

10   12   13   16   19   20   21   23   23   25   

The median of these numbers is 19.5.

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.

10   12   13   16   19   20   21   23   23   25   26   27   30   32   33   35   36   36   37   37   

So, the upper half is

26   27   30   32   33   35   36   36   37   37   

The median of these numbers is 34.

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

The third quartile is 34.

The first quartile is 19.5.

The interquartile range = 34 - 19.5 = 14.5.

8.

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.

10   12   13   13   17   18   19   19   20   21   22   23   24   26   27   28   30   31   33   37   

So, the upper half is

22   23   24   26   27   28   30   31   33   37   

The median of these numbers is 27.5.