Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.

banganX
2021-11-06
Answered

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.

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wornoutwomanC

Answered 2021-11-07
Author has **81** answers

The range is the difference between the largest and the smallest value:

RANGE =20-10=10

The first quartile is the median of the data values below the median (or at 25% of the data):

${Q}_{1}=\frac{10+12}{2}=11$

The third quartline is the median of the data values above the median (or at 75% of the data):

${Q}_{3}=\frac{17+20}{2}=18.5$

The interquartile range IQR is the difference of the third and first quartile:

$IQR={Q}_{3}-{Q}_{1}=18.5-11=7.5$

Results:

RANGE=10

IQR=7.5

RANGE =20-10=10

The first quartile is the median of the data values below the median (or at 25% of the data):

The third quartline is the median of the data values above the median (or at 75% of the data):

The interquartile range IQR is the difference of the third and first quartile:

Results:

RANGE=10

IQR=7.5

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a. If the data is weight, the z-score for someone who is overweight would be

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-negative

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b. If the data is IQ test scores, an individual with a negative z-score would have a

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c. If the data is time spent watching TV, an individual with a z-score of zero would

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-watch a lot of TV

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d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be

-positive

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Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is $y=-0.79x+98.8$ .

Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852

(a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27 hours (per week) is 77.47.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Select the correct answer below:

1.The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.

2.The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable.

3.The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable.

4.The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.

Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852

(a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27 hours (per week) is 77.47.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Select the correct answer below:

1.The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.

2.The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable.

3.The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable.

4.The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.