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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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