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Chapter 2: Q 1.4. (page 89)

Estimate Q1, Q3, and the IQR of the distribution.

Short Answer

Expert verified

Q1 = 13min Q3 = 32min and IQR = 19min

Step by step solution

01

Step 1. Given

Graph of call length (minutes) Vs cumulative frequency (%)

02

Step 2. Concept

A cumulative relative frequency graph can be used to depict an individual's location within a distribution or to find a specific percentile within the distribution.

03

Step 3. Explanation

From the above graph it is observed that, Q1 = 13min

Q3=32minIQR=32鈭�13=19min

Thus, Q1=13minQ3=32min and IQR=19min

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Most popular questions from this chapter

Table A practice

(a) z<2.85

(b) z>2.85

(c) z>-1.66

(d) -1.66<z<2.85

R2.8 Working backward

(a) Find the number zat the 80th percentile of a standard Normal distribution.

(b) Find the number localid="1649404103275" zsuch that localid="1649404108890" 35%of all observations from a standard Normal distribution are greater than localid="1649404115271" z.

- Use Table A to find the percentile of a value from any Normal distribution and the value that corresponds to a given percentile.

Consider the height distribution for 15-year-old males.

(a) Find its mean and standard deviation. Show your method clearly.

(b) What height would correspond to a z-score of2.5? Show your work.

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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(a) Find and interpret the percentile in the female distribution for the girl with 22pairs of shoes.

(b) Find and interpret the percentile in the male distribution for the boy with 22 pairs of shoes.

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