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Calculus and Above# Determine whether the given value is a statistic or a parameter.

After taking the first exam...

Determine whether the given value is a statistic or a parameter. After taking the first exam, 15 of the students dropped the class. (Points : 6)

Parameter

Statistic

2. Identify the number as either continuous or discrete. The number of stories in a Manhattan building is 22. (Points : 6)

Discrete

Continuous

3. The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 95-99.

(Points : 6)

97.5

98.0

96.5

97.0

4. Construct the relative frequency distribution that corresponds to the given frequency distribution.

(Points : 6)

5. Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

(Points : 6)

6. Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

(Points : 6)

7. Six college buddies bought each other Christmas gifts. They spent: $261.12, $120.52, $186.23, $298.97, $171.55, $263.96

What was the mean amount spent? Round your answer to the nearest cent. (Points : 6)

$325.59

$260.47

$217.06

$248.47

8. The distances traveled (in miles) to 7 different swim meets are given below:

10, 24, 34, 46, 61, 73, 86

Find the median distance traveled. (Points : 6)

34 miles

61 miles

48 miles

46 miles

9. Find the midrange for the given sample data. 49, 52, 52, 52, 74, 67, 55, 55 (Points : 6)

53.5

61.5

25

12.5

10. Find the midrange for the given sample data. 1.4, 2.6, 3.1, 1.0, 1.3, 3.9, 2.0, 3.3, 2.1, 2.9, 2.0 (Points : 6)

2.45

2.0

2.15

2.1

11. Find the mode(s) for the given sample data.

78, 71, 32, 71, 29, 78

(Points : 6)

74.5

78

71

78, 71

12. The test scores of 40 students are summarized in the frequency distribution below. Find the mean score.

(Points : 6)

74.5

71.7

68.0

75.5

13. Find the standard deviation for the given data. Round your answer to one more decimal place than the original data: 2, 6, 15, 9, 11, 22, 1, 4, 8, 19. (Points : 7)

6.3

6.8

7.1

2.1

14. Use the empirical rule to solve the problem. The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg? (Points : 7)

95.44%

68.26%

99.99%

99.74%

15. Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary.

A time for the 100 meter sprint of 15.2 seconds at a school where the mean time for the 100 meter sprint is 17.5 seconds and the standard deviation is 2.1 seconds. (Points : 7)

1.1; not unusual

-2.3; unusual

-1.1; unusual

-1.1; not unusual

16. The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 40-59.

(Points : 7)

39.5, 58.5

40.5, 59.5

40.5, 58.5

39.5, 59.5

Parameter

Statistic

2. Identify the number as either continuous or discrete. The number of stories in a Manhattan building is 22. (Points : 6)

Discrete

Continuous

3. The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 95-99.

(Points : 6)

97.5

98.0

96.5

97.0

4. Construct the relative frequency distribution that corresponds to the given frequency distribution.

(Points : 6)

5. Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

(Points : 6)

6. Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

(Points : 6)

7. Six college buddies bought each other Christmas gifts. They spent: $261.12, $120.52, $186.23, $298.97, $171.55, $263.96

What was the mean amount spent? Round your answer to the nearest cent. (Points : 6)

$325.59

$260.47

$217.06

$248.47

8. The distances traveled (in miles) to 7 different swim meets are given below:

10, 24, 34, 46, 61, 73, 86

Find the median distance traveled. (Points : 6)

34 miles

61 miles

48 miles

46 miles

9. Find the midrange for the given sample data. 49, 52, 52, 52, 74, 67, 55, 55 (Points : 6)

53.5

61.5

25

12.5

10. Find the midrange for the given sample data. 1.4, 2.6, 3.1, 1.0, 1.3, 3.9, 2.0, 3.3, 2.1, 2.9, 2.0 (Points : 6)

2.45

2.0

2.15

2.1

11. Find the mode(s) for the given sample data.

78, 71, 32, 71, 29, 78

(Points : 6)

74.5

78

71

78, 71

12. The test scores of 40 students are summarized in the frequency distribution below. Find the mean score.

(Points : 6)

74.5

71.7

68.0

75.5

13. Find the standard deviation for the given data. Round your answer to one more decimal place than the original data: 2, 6, 15, 9, 11, 22, 1, 4, 8, 19. (Points : 7)

6.3

6.8

7.1

2.1

14. Use the empirical rule to solve the problem. The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg? (Points : 7)

95.44%

68.26%

99.99%

99.74%

15. Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary.

A time for the 100 meter sprint of 15.2 seconds at a school where the mean time for the 100 meter sprint is 17.5 seconds and the standard deviation is 2.1 seconds. (Points : 7)

1.1; not unusual

-2.3; unusual

-1.1; unusual

-1.1; not unusual

16. The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 40-59.

(Points : 7)

39.5, 58.5

40.5, 59.5

40.5, 58.5

39.5, 59.5

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