3. A variable—study hours—is aself-reported number of hours spent studying each

ID: 2913730 • Letter: 3

Question

3. A variable—study hours—is aself-reported number of hours spent studying each week for a sampleof students. Below is the five-number summary for thisvariable:

PartA: Which of the following intervals describes the numberof hours spent studying in a typical week for about 75% of thestudents?

a. 0 to 4 hours/week

b. 4 to 10 hours/week

c. 4 to 50 hours/week

d. 10 to 50 hours/week

Part B: Which of the following calculations represents theinterquartile range (IQR)?

a. IQR = 4 – 0 = 4 hours/week

b. IQR = 50 – 0 = 50 hours/week

c. IQR = 18 – 4 = 14 hours/week

d. IQR = 18 – 10 = 8 hours/week

PartC: Write a one-sentence interpretation ofinterquartile range (IQR) that you selected in Part B. (Hint: Referto Example 3.6).

Lowest

Median

Highest

Explanation / Answer

Part A: c. 4 to 50 hours/week (from Q1 onwards is approximately75%) Part B: c. IQR = 18 – 4 = 14 hours/week (IQR = Q3 -Q1) Part C: Most students spend an average of 14 hours in studying. Hope this helps!

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