The five-number summary of dollar amounts collected hourly from a Salvation Army

Question

The five-number summary of dollar amounts collected hourly from a Salvation Army store is: From this information, we know that a. there is at least one high outlier in the data. b. there are both low and high outliers in the data. c. there are no outliers in the data. d. there is at least one low outlier in the data. The boxplots for the grade scores in the midterm exam in a Calculus I class for two different classes is below. Fill in the blank with one of these answers: Both classes are about equal Class 1 Class 2 Neither it is impossible to tell A. Which class is likely to have a greater percentage of students with grades smaller or equal to 70? B. Which class has 25% percentage of students with grades between 70 and 75? C. For which class 50% of students received grades between 60 and 75?

Explanation / Answer

Compute Q1–1.5 × IQR

Compute Q3+1.5 × IQR

Anything outside this range is an outlier.

Now

Q1–1.5 × IQR= 15-1.5*(22-15) =4.5

Q3+1.5 × IQR= 22+ 1.5*(22-15)= 32.5

since min=5 and max=22

all the points are between 4.5 and 32.5 hence there are no outlers in the data

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