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Exam 4: Summarizing Data: Measures of Variation

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Question 1

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Table 2 Two companies have the following sales results for a particular month. -Use the data in Table 2 to solve the following: In company 1 , at least what percentage of salespersons have sales between $\$ 7000$ and $\$ 9000$ ?

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Chebyshev's theorem:
\[\begin{ ...

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Question 2

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At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. $182,160,120,140,155,136,115,190,144,200$ -For this data, find the hinges.

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115, 120, 136, 140, ...

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The following is a list of the number of dollars a sample of students say they are willing to spend for a present for a close friend. Males: $25,80,30,50,45,30,260,60,50$ Females: $15,35,60,55,40,90,100,25,30$ -Find the interquartile range for the males.

The number of standard deviations a value lies above or below the mean is given by a _______.

Table 2 Two companies have the following sales results for a particular month. -Use the data in Table 2 to solve the following: In company 1 , between what values does at least $35 / 36$ of the salespersons' sales fall?

How does the interquartile range compare to the range when the distribution is shaped like a U?

The mean, median, and standard deviation of a list of numbers are 128, 160, and 8.2. Suppose that the number 25 is added to each number in the list. -What is the new value of the median?

The number of sales of homes having two bedrooms or less in a state for a ten-week period in 1987 is given in the following table: -For a two-bedroom or less home in this state during the given period, find the standard deviation of the price.

The number of sales of homes having two bedrooms or less in a state for a ten-week period in 1987 is given in the following table: -For a two-bedroom or less home in this state during the given period, find the variance of the prices.

An outlier is an extreme value in the data that may be due to an error in measurement.

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. $182,160,120,140,155,136,115,190,144,200$ -For this data, using the hinges as quartiles, find the interquartile range.

If a distribution has the general shape of the cross section of a bell, then the _______ allows for a stronger statement than Chebyshev's theorem.

When drawing a boxplot, we usually omit _______ from the data.

Distributions having a tail to the right are called negative skewed.

The following is a list of the number of dollars a sample of students say they are willing to spend for a present for a close friend. Males: $25,80,30,50,45,30,260,60,50$ Females: $15,35,60,55,40,90,100,25,30$ -Find the range for the entire group.

A set of data has a mean of 80 and a standard deviation of 5 . To determine two values that contain at least $\frac{8}{9}$ of the data, we use:

Which of the following does not provide an application of the standard deviation?

The measure of variation that is most affected by outliers is the:

Table 2 Two companies have the following sales results for a particular month. -Use the data in Table 2 to solve the following: A salesperson with $\$ 6000$ of sales has lower sales relative to the mean in which of the two companies?

Which of the following symbols represents a sample value, not a population value?