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1) If you are the purchaser for Macy\'s Department Store, which measure of centr

ID: 1102161 • Letter: 1

Question

1) If you are the purchaser for Macy's Department Store, which measure of central tendency is most useful in determining what jeans size to order?

a. Mode

b. Median

c. Mean

d. None of the above

2) If you are using a single value to describe income, it is best to describe income using the median income instead of the mean income.

True

False

3) A numerical measure, such as a mean, computed from a population is known as a ________?

4)

A researcher has collected the following sample data:

5 12 6 8 5 6 7 5 12 4  

The mean is ____

The median is _____

The mode is _____

5)

The standard deviation of a sample of 100 observations equals 64.  The variance of the sample equals

8

10

6400

d. 4096

6)

A researcher has collected the following sample data.  The mean of the sample is 5.

3    5    12   3    2

The range is_____.

The standard deviation is ______ (rounded to two decimal places)

The coefficient of variation is_____% (rounded to two decimal places)

7) The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway. (Hint: use the midpoint of each class).

Speed (MPH)

Frequency

50 - 54

  2

55 - 59

  4

60 - 64

  5

65 - 69

10

70 - 74

  9

75 - 79

  5

35

The mean is

35

670

10

8) Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers?

mean

median

2nd quartile

50th percentile

9) The hourly wages of a sample of eight individuals is given below.

Individual

Hourly Wage ($)

A

27

B

25

C

20

D

10

E

12

F

14

G

17

H

19

The 25th Percentile is ________. (round to one decimal places)

10) Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500.

a. Calculate the number of standard deviations a sales associates salary of $36,000 is from the mean salary.

_______ (round to one decimal place)

b. Suppose that the distribution of annual salaries for sales associates at this store is bell-shaped.  Use the empirical rule to calculate the percentage of sales associates with salaries between $27,500 and $37,500.

_________ (round to the nearest whole number)

c. Use the empirical rule to determine the percentage of sales associates with salaries less than $27,500.

_________ (round to the nearest whole number)

d. Still suppose that the distribution of annual salaries for sales associates at this store is bell-shaped.  A sales associate makes $42,000.  Should this salary be considered an outlier?

__________ (yes or no)

11) The range is influenced by outliers.

True

False

12) Create a sample of five numbers whose mean is 7 and whose standard deviation is 0.

a. 3, 5, 7, 9, 11

49, 49, 49, 49, 49

7, 7, 7, 7, 7

d. Need more information to answer the question.

13) The variance of the sample

cannot be zero.

can be negative.

can never be negative.

cannot be less than one.

a.

8

b.

10

c.

6400

d. 4096

6)

A researcher has collected the following sample data.  The mean of the sample is 5.

3    5    12   3    2

The range is_____.

The standard deviation is ______ (rounded to two decimal places)

The coefficient of variation is_____% (rounded to two decimal places)

7) The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway. (Hint: use the midpoint of each class).

Speed (MPH)

Frequency

50 - 54

  2

55 - 59

  4

60 - 64

  5

65 - 69

10

70 - 74

  9

75 - 79

  5

35

The mean is

a.

35

b.

670

c.

10

d. 67

8) Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers?

a.

mean

b.

median

c.

2nd quartile

d.

50th percentile

9) The hourly wages of a sample of eight individuals is given below.

Individual

Hourly Wage ($)

A

27

B

25

C

20

D

10

E

12

F

14

G

17

H

19

The 25th Percentile is ________. (round to one decimal places)

10) Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500.

a. Calculate the number of standard deviations a sales associates salary of $36,000 is from the mean salary.

_______ (round to one decimal place)

b. Suppose that the distribution of annual salaries for sales associates at this store is bell-shaped.  Use the empirical rule to calculate the percentage of sales associates with salaries between $27,500 and $37,500.

_________ (round to the nearest whole number)

c. Use the empirical rule to determine the percentage of sales associates with salaries less than $27,500.

_________ (round to the nearest whole number)

d. Still suppose that the distribution of annual salaries for sales associates at this store is bell-shaped.  A sales associate makes $42,000.  Should this salary be considered an outlier?

__________ (yes or no)

11) The range is influenced by outliers.

True

False

12) Create a sample of five numbers whose mean is 7 and whose standard deviation is 0.

a. 3, 5, 7, 9, 11

b.

49, 49, 49, 49, 49

c.

7, 7, 7, 7, 7

d. Need more information to answer the question.

13) The variance of the sample

a.

cannot be zero.

b.

can be negative.

c.

can never be negative.

d.

cannot be less than one.

Explanation / Answer

Mode
False
Parameter
5) mean = 70/10 = 7
median = 5.5
mode = 5

12)c
13)can never be negative