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1)Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.Listed below are the highest

1)Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?

260, 200, 185, 180, 175, 175, 155, 155, 155, 155

a. Find the mean.

The mean is ___million

b. Find the median.

The median is ___million.

c. Find the mode.

The mode(s) is(are) ___million or There is no mode.

d. Find the midrange.

The midrange is __million.

e. What do the results tell us about the population of all celebrities?

a.Apart from the fact that all other celebrities have amounts of net worth lower than those given, nothing meaningful can be known about the population.

b.The results tell us that the most common celebrity net worth is the mode, but all other celebrities are expected to have net worths approximately equal to the mean, median, or midrange.

c.The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts (a) through (d).

d.Apart from the fact that all other celebrities have amounts of net worth lower than those given, the results in parts (a), (b), and (d) do not given meaningful results. However, the result from part (c) shows that the most common celebrity net worth is equal to the mode.

Based on the nature of the amounts, what can be inferred about their precision?

a.The values are all whole numbers, so they appear to be accurate to the nearest whole number.

b.Since celebrity information is public, these values can be assumed to be unrounded.

c.The values all end in 0 or 5, so they appear to be rounded estimates.

d.Since no information is given, nothing can be said about the precision of the given values.

2)Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3267.3 g and a standard deviation of 883.9 g. Newborn females have weights with a mean of 3001.8 g and a standard deviation of 563.1 g. Who has the weight that is more extreme relative to the group from which they came: a male who weigh 1500g or a female who weighs 1500g?

Since the z score for the male is z= ____ and the z score for the female is z=____, the Male or Female has the weight that is more extreme.

3)The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of

98.02F and a standard deviation of 0.47F.

Using the empirical rule, find each approximate percentage below.

a.

What is the approximate percentage of healthy adults with body temperatures within

2 standard deviations of the mean, or between 97.08F and 98.96F?

b.

What is the approximate percentage of healthy adults with body temperatures between 96.61F and 99.43F

a. Approximately ____% of healthy adults in this group have body temperatures within 2 standard deviations of the mean, or between 97.08F and 98.96F

b. Approximately _____% of healthy adults in this group have body temperatures between 96.61F and 99.43F.

4)Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 9.6Mbps.

0.1

0.1

0.2

0.2

0.2

0.3

0.4

0.4

0.5

0.5

0.6

0.7

0.7

0.7

0.7

0.8

1.1

1.2

1.4

1.8

1.9

1.9

2.2

2.3

2.5

2.5

2.7

2.8

2.9

2.9

3.1

3.5

3.7

4.4

4.8

5.1

6.4

6.4

7.6

8.3

8.6

9.3

9.6

10.8

11.8

12.2

14.3

14.4

15.6

27.9

Percentile of 9.6= __

5) Consider a value to be significantly low if its z score less than or equal to 2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean test score was 21.1 and the standard deviation was 4.9.

Identify the test scores that are significantly low or significantly high. What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.

A.Test scores that are between _ and _.

B.Test scores that are greater than _.

C.Test scores that are less than ____.

What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.

A.Test scores that are less than ___

B.Test scores that are greater than ____

C.Test scores that are between ____ and ___

6)Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?

398427895882384798776

Range= ____

Sample standard deviation=_____

Sample variance=____

What do the results tell us?

A. Jersey numbers on a football team vary much more than expected.

B.Jersey numbers on a football team do not vary as much as expected.

C.The sample standard deviation is too large in comparison to the range.

D. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

7)Use the following cell phone airport data speeds (Mbps) from a particular network. Find P60.

0.2

0.3

0.3

0.3

0.3

0.6

0.6

0.7

0.8

0.9

0.9

0.9

0.9

0.9

0.9

1.1

1.3

1.5

1.7

1.7

1.8

2.2

2.6

2.6

2.7

2.8

2.9

2.9

3.2

3.7

4.5

4.5

4.9

5.7

6.6

6.6

7.7

8.8

9.4

11.5

12.1

12.3

12.7

13.1

13.3

13.7

13.8

14.8

15.7

27.1

P60=____ Mbps

8)Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. How useful are the measures of variation for someone searching for a room

264

168

147

153

152

129

78

152

The range of the sample data is ____

The standard deviation of the sample data is ____

The variance of the sample data is _____

How useful are the measures of variation for someone searching for a room?

A.The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

B.The measures of variation are very useful because a person does not want to buy a room where the variation is too low.

C.The measures of variation are not very useful because the values are nominal data that do not measure or count anything, so the resulting statistics are meaningless.

D.The measures of variation are very useful because a person does not want to buy a room where the variation is too high.

9)A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 20% of his final grade, a set of homework assignments that counts as 30% of his final grade, and a final exam that counts as 30% of his final grade. His midterm score is 85, his project score is 99, his homework score is 92, and his final exam score is 63.

What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.

His overall final score is __

His letter grade is____

10) Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the amounts (dollars) it costs for marriage proposal packages at different sports venues. Are there any outliers?

39

50

50

55

55

55

65

85

100

105

150

150

175

184

200

200

300

350

375

400

400

400

400

1500

3000

a. Find the mean.

The mean is ______

b. Find the median.

The median is _____

c. Find the mode.

The mode(s) is(are)__ or no mode

d. Find the midrange.

The midrange is ____

e. Are there any outliers? Choose the correct answer below.

A.There do not appear to be any outliers.

B.The values $39, $1500,and $3000 appear to be outliers.

C.The values $1500 and $3000 appear to be outliers.

D. The values $39and $3000 appear to be outliers.

11)Use the following cell phone airport data speeds (Mbps) from a particular network. Find Q3.

0.1

0.2

0.2

0.2

0.2

0.3

0.3

0.4

0.4

0.4

0.5

0.6

0.6

0.7

0.8

0.9

1.1

1.3

1.5

1.7

1.8

1.8

2.1

2.3

2.4

2.5

2.7

2.7

3.1

3.6

3.8

4.5

4.7

5.1

6.3

7.4

7.8

8.1

8.3

9.1

9.6

10.2

10.4

12.8

12.8

13.5

14.8

15.4

15.8

28.7

Q3= ___ Mbps

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