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Chapter 3: Q 3.74. (page 114)

Determine the age and sample standard deviation for each of the due sets. For the sample standard deviation round each answer to one more decimal place than that used for the observation

Technical Merit. In one Winter Olympics, Michelle Kwan competed in the Short Program ladies singles event. From nine judges, she received scores ranging from poor 6 perfect. The following cable provides the scores that the judges gave her on trackiest merit found in an article by S. Berry.

5.8,5.7,5.9,5.7,5.5,5.7,5.7,5.7,5.6

Short Answer

Expert verified

Range of the data=0.4

Standard deviation of the data=0.11

Step by step solution

01

Step 1. Given information.  

We have given data:5.8,5.7,5.9,5.7,5.5,5.7,5.7,5.7,5.6

02

Step 2. To find range of the data.  

Range=Max.value-Min.value=5.9-5.5=0.4

03

Step 3. To find mean of the data  

Mean=SumofobservationNumberofobservation=5.8+5.7+5.9+5.7+5.5+5.7+5.7+5.7+5.69=51.39=5.7

04

Step 4. To find standard deviation of the data. 

x
x-x
x-x2
5.85.75.95.75.55.75.75.75.6
0.100.20-0.2000-0.1
0.0100.0400.040000.01

localid="1652001295916" Standarddeviation=∑(x-x)2n-1=0.19-1=0.0125=0.11

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Most popular questions from this chapter

Name and describe the three most important measures of center.

In Exercises 3.201-3.206, we have provided simple data sets for you to practice the basics of finding a

a. population mean

b. population standard deviation

3.2054,2,0,2,2

Obesity. Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group 1. composed of 37patients, was put on a program of dieting with exercise. Group 2. composed of 36patients, dieted only. The results for weight loss, in pounds, after 2months are summarized in the following boxplots. The top boxplot is for Group 1. and the bottom boxplot is for Group 2. Use the boxplots to compare the weight losses for the two groups, paying special attention to center and variation.

A quantitative data set has size 60. At least how many observations lie within three standard deviation to either side of the mean ?

What does Chebyshev's rule say about the percentage of observations that lie within one standard deviation to either side of the mean? Discuss your answer.
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