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Chapter 2: Q 4.4. (page 103)

Now mark the approximate location of the mean. Explain why the mean and median have the relationship that they do in this case.

Short Answer

Expert verified

The curve is

Step by step solution

01

 Step 1. Given

The figure is:

02

Step 2. Concept

A density curve has the same area underneath it as the horizontal axis and is always on or above it. A density curve depicts the overall pattern of distribution. The proportion of all observations that fall within an interval of values on the horizontal axis is represented by the area under the curve and above that interval.

03

Step 3. Explanation

In the figure, the approximate location of the mean and median could be shown as:

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Most popular questions from this chapter

T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the 1985School Population Fitness Survey. For the Presidential award, the standard for each event is the 85thpercentile of the results for a specific age group and gender among students who participated in the 1985survey. For the National award, the standard is the 50th percentile. To win either award, a student must meet the qualifying standard for all five events.
Jane, who is 9years old, did 40curl-ups in one minute. Matt, who is 12years old, also did 40curl-ups in one minute. The qualifying standard for the Presidential award is 39curl-ups for Jane and 50curl-ups for Matt. For the National award, the standards are 30and 40, respectively.
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Computer use Mrs. Causey asked her students how much time they had spent using a computer during the previous week. The following figure shows a cumulative relative frequency graph of her students’ responses.

(a) At what percentile does a student who used her computer for 10hours last week fall?

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Trace the density curve onto your paper. Mark the approximate location of the median.

T2.8. Which of the following is not correct about a standard Normal distribution?
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(b) The proportion of scores that satisfy z<-1.0is 0.1587.
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(a) Estimate the 60th percentile of this distribution. Show your method.

(b) What is the percentile for a lamp that lasted 900 hours?

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