re are the summary statistics for the distribution on the previous page. 94 66.6

Question

re are the summary statistics for the distribution on the previous page. 94 66.6851 Mode Midrangee 66.5 0, 69 Min. 58 Max 68 66.5 61 75 3.8644 the summary statistics to answer the following questions ) 4 points) Are there any outliers in the data set? Explain how you know ) (4 points) If my grandmother was 48" tall, would she be considered an outlier? Defend your (4 points) I once had a student whose height had a z-score of 2.2. i. What does this z-score mean? ii. Can you determine how tall he was? If so, find the student's height. 4 points) What is the standard score of a height of 69 inches? oints) Based off of your answers of d-g, what would be the best way to describe the center a ent height data? Explain

Explanation / Answer

SolutionA:

Outlier's rule:

Any value below

Q1-1.5 IQR

and value above Q3+1.5 IQR are outliers

IQR=Q3-Q1

=69-61=8

61-1.5*8=49

and 69+1.5(8)=81

any value below 49 and any value above 81 are outliers

Solutionb:

48 is an outliers since it is below Q1-1.5IQR=49

since 48 is below 49 its an outlier

Solutionc:

z score

Z=x-mean/sd

z=2.2

means his score is 2.2 standard deviations above mean.

x-mean/sd/sqrt(n)=2.2

x-66.6851/se=2.2

x-66.6851/3.8644=2.2

x=3.8644*2.2+66.6851

X=75.18678

students height is 75.18678

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