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Chapter 2: Q.2.3 (page 136)

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鈥� responses.

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

(b) Estimate the median, Q1, and Q3from the graph. Are there any outliers

Short Answer

Expert verified
  1. A time of10hours corresponds to the70thpercentile.

b. There are outliers in the result because it exceeds1.5(IQR)and the graph is

Step by step solution

01

Part (a) Step 1: Given information

Given in the question that a table,

02

Part (a) Step 2: Explanation

According to some definitions, a percentile graph, or cumulative frequency curve, displays the evolution of events in indefinite data. Most of the time, the classifications are also progressive.

Based on an analysis of the 10hours X-axis and Y-axis, we found that the 10hours correspond to the 70thpercentile.

03

Part (b) Step 1: Given information

Given in the question is a graph

04

Part (b) Step 2: Solution

The percentile medians are

50thpercentile is 5

25thpercentile is 2.5

75thpercentile is 11

Find the calculation,

localid="1649944000473" IQR=Q3鈭�Q1=11鈭�2.5=8.5Q3+1.5(IQR)=11+1.5(8.5)=11+12.75=23.75

There are outliers because the rule of 1.5(IQR)is exceeding.

Q3+1.5(IQR)=23.75it is exits.

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Most popular questions from this chapter

Brent is a member of the school鈥檚 basketball team. The mean height of the players on the team is 76 inches. Brent鈥檚 height translates to a z-score of 鈭�0.85 in the team鈥檚 height distribution. What is the standard deviation of the team members鈥� heights?

Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the 80th percentile of all his race times that season. But his performance places him at the 50th percentile in the league championship meet. Explain how this is possible. (Remember that lower times are better in this case!)

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(b) 1

(c) 2

(d) 4

(e) 5

Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990swas 470and the standard deviation was 110. In 2009, the mean was 515and the standard deviation was 116 .
T2.10. Jane took the SAT in 1994and scored 500. Her sister Colleen took the SAT in 2009and scored 530. Who did better on the exam, and how can you tell?
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