8- One variable that is measured by online homework systems is the amount of tim

Question

8- One variable that is measured by online homework systems is the amount of time a student s of minutes a student homework for each section of the text. The following is a summary of the number spends for each section of the text for the fall 2010 semester in a College Algebra class at Joliet Junior College. Q1242 Q2 51.5 Q3 =72. (a) Provide an interpretation of these results. (5 pts) (b) Determine and interpret the interquartile range. (5 pts) (C) Suppose a student spent 2 hours doing homework for a section. Is this an outlier? (5 pts) (d) Do you Why? (5 pts)

Explanation / Answer

Sol:

Q1=first quartile=25% =42

middle number between smallest number and median of the dataset=42

Q2=second quartile=50%=51.5

median=51.5

Q3=third quartile=72

that is the midlle value between the median and highest value of dataset is 72

Solutionb;

IQR=Q3-Q1

=72-42

=30

IQR=inter quartile range

IQR is a measure of variability

that is spread of the data=30

the difference between 75th percentile and 25th percentile=30

Solutionc:

Q1-1.5IQR=42-1.5(30) -3

Q3+1.5IQR=72+1.5*30=117

values below -3 and values above 117 are outliers

since 2 is in the range of -3 and 117

-3<2<117

IT IS NOT AN OUTLIER

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