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Chapter 2: Q. 1 (page 138)

T2.1. Many professional schools require applicants to take a standardized test. Suppose that 1000 students take such a test. Several weeks after the test, Pete receives his score report: he got a 63, which placed him at the 73rd percentile. This means that

(a) Pete's score was below the median.

(b) Pete did worse than about 63%of the test takers.

(c) Pete did worse than about 73%of the test takers.

(d) Pete did better than about 63%of the test takers.

(e) Pete did better than about 73%of the test takers.

Short Answer

Expert verified

(e) Pete scored better than about 73%of all test takers.

Step by step solution

01

Concept Introduction

Standardized testing allows for comparisons between schools in terms of student accomplishment, maintains teacher responsibility, and can help educators improve their curriculum.

02

Explanation

Given: Pete scored at the 73rd percentile.

A 73rd percentile score represents one that has approximately 73% of all data below it.

This means that Pete's score has approximately 73% of all test scores below it and so Pete scored better than about 73% of all test takers.

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Most popular questions from this chapter

3. What percent of young women have heights between 62 and 72 inches? Show your work.

T2.2. For the Normal distribution shown, the standard deviation is closest to

(a) 0

(b) 1

(c) 2

(d) 4

(e) 5

George has an average bowling score of 180 and bowls in a league where the average for all bowlers is 150 and the standard deviation is 20 Bill has an average bowling score of 190 and bowls in a league where the average is 160 and the standard deviation is 15 Who ranks higher in his own league, George or Bill?

(a) Bill, because his 190 is higher than George鈥檚 180

(b) Bill, because his standardized score is higher than George鈥檚.

(c) Bill and George have the same rank in their leagues because both are 30 pins above the mean.

(d) George, because his standardized score is higher than Bill鈥檚.

(e) George, because the standard deviation of bowling scores is higher in his league.

Shopping spree The figure below is a cumulative relative frequency graph of the amount spent by

50 consecutive grocery shoppers at a store.

(a) Estimate the interquartile range of this distribution. Show your method.

(b) What is the percentile for the shopper who spent $19.50?

(c) Challenge: Draw the histogram that corresponds to this graph.

Gas it up! (1.3) Interested in a sporty car? Worried that it might use too much gas? The Environmental Protection Agency lists most such vehicles in its 鈥渢wo-seater鈥� or 鈥渕inicompact鈥� categories. The figure shows boxplots for both city and highway gas mileages for our two groups of cars. Write a few sentences comparing these distributions.
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