What percentage of respondents have at least 6 pairs of shoes.B. 62% of all respondents that have fewer than how many pairs of shoes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A. What percentage of respondents have at least 6 pairs of shoes.B. 62% of all respondents that have fewer than how many pairs of shoes.
65 randomly selected students were asked the number of pairs of shoes they have. Let X represent the
number of pairs of shoes. The results are as follows:
# of Pairs of Shoes
4
5
8
9.
10
Frequency
10
10
11
12
2
11
Round all your answers to 4 decimal places where possible.
The mean is: 6.8154
The median is: 7
The sample stan dard deviation is: 2.0070
The first quartile is: 5
The third quartile is: 8
What percent of the respondents have at least 6 pairs of Shoes? 69.2307
62% of all respondents have fewer than how many pairs of Shoes?
Transcribed Image Text:65 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows: # of Pairs of Shoes 4 5 8 9. 10 Frequency 10 10 11 12 2 11 Round all your answers to 4 decimal places where possible. The mean is: 6.8154 The median is: 7 The sample stan dard deviation is: 2.0070 The first quartile is: 5 The third quartile is: 8 What percent of the respondents have at least 6 pairs of Shoes? 69.2307 62% of all respondents have fewer than how many pairs of Shoes?
Expert Solution
Step 1

In this context, X  denotes the number of pairs of Shoes.

The total number of students is 65.

Given,

# of pairs of shoes Frequency C.frequency
4 10 10
5 10 20
6 11 31
7 9 40
8 12 52
9 2 54
10 11 65

Obtain the percent of the respondents have at least 6 pairs of shoes.

PX6=PX=6+PX=7+PX=8+PX=9+PX=10=1165+965+1265+265+1165=11+9+12+2+1165=4565=0.6923

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