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Question : Find the range for the set of numbers 1) 6, 19, 2, 13, 12 : 2151732

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

**Find the range for the set of numbers.**

1) 6, 19, 2, 13, 12

A) 6

B) 17

C) 19

D) 2

2) 22, 39, 42, 58

A) 39

B) 58

C) 17

D) 19

3) 110, 468, 143, 655, 31, 270

A) 127

B) 110

C) 545

D) 468

4) 70, 150, 36, 112, 199

A) 36

B) 80

C) 199

D) 163

**Find the standard deviation for the set of numbers.**

5) 5, 11, 9, 20, 19, 7, 7, 11, 17

A) 5.6

B) 5.2

C) 5.9

D) 1.5

6) 37, 86, 58, 68, 81, 29, 35, 30, 42

A) 20.9

B) 23.7

C) 22.1

D) 6.5

7) 165, 265, 290, 168, 282, 155, 236, 136, 232

A) 26.8

B) 55.7

C) 63.1

D) 59.0

8) 10, 14, 10, 11, 5, 10, 5, 17, 12, 19

A) 1.3

B) 4.2

C) 4.0

D) 4.5

9) 4, 5, 6, 20, 16, 8, 15, 11, 12

A) 1.3

B) 5.9

C) 5.5

D) 5.2

**Find the standard deviation for the grouped data.**

10)

A) 7900.2

B) 8351.6

C) 8125.9

D) 7524.0

11)

A) 15.2

B) 13.7

C) 16

D) 14.4

12)

A) 5.4

B) 5.0

C) 4.5

D) 4.8

13)

A) 2.8

B) 2.9

C) 3.3

D) 3.2

**In a certain distribution of numbers, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the indicated interval.**

14) Between 26 and 74

A) At least 15/16

B) At least 1/16

C) At least 8/9

D) At least 24/25

15) Between 20 and 80

A) At least 1/25

B) At least 15/16

C) At least 8/9

D) At least 24/25

16) Less than 26 or more than 74

A) No more than 1/9

B) No more than 1/16

C) No more than 8/9

D) No more than 15/16

17) Less than 20 or more than 80

A) No more than 1/25

B) No more than 1/16

C) No more than 1/9

D) No more than 24/25

18) Between 35 and 65

A) At least 15/16

B) At least 4/25

C) At least 1/25

D) At least 21/25

19) Between 29 and 71

A) At least 35/36

B) At least 4/9

C) At least 45/49

D) No more than 45/49

**Solve the problem.**

20) The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m) are listed below. Find the standard deviation. Round your result to four decimal places.

0.148 0.423 0.624 0.41 0.641 0.41 0.659

A) 1.7716

B) 1.5699

C) 0.410

D) 0.1833

21) Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores. Find the standard deviation. Round your result to one decimal place.

54 15 37 27 14 40 65

A) 11,260

B) 9072.0

C) 19.1

D) 37

22) The manager of a small dry cleaner employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below. Find the standard deviation. Round your result to two decimal places.

18.1 11.5 27.3 35.0 21.3 15.3

A) 8.55 miles

B) 3117.93 miles

C) 31.15 miles

D) 2752.04 miles

23) To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below. Find the standard deviation. Round your result to the nearest ten cents.

$447 $260 $447 $315 $162 $139 $369 $174

A) $668,746.10

B) $168.00

C) $778,445.00

D) $125.20

24) The normal monthly precipitation (in inches) for August is listed for 12 different U.S. cities. Find the standard deviation. Round your result to two decimal places.

3.5 1.6 2.4 3.7 4.1 3.9

1.0 3.6 4.2 3.4 3.7 2.2

A) 12.03 inches

B) 1.05 inches

C) 1.00 inches

D) 1.09 inches

25) The table gives the number of unemployed workers (in thousands) in a certain city in recent years. Find the standard deviation for the data. Round to the nearest hundredth.

A) 1.77

B) 32.92

C) 1.86

D) 3.47

26) The table gives the number of new homes constructed in a certain town in recent years. Find the standard deviation for the data. Round to the nearest tenth.

A) 50.6

B) 10.3

C) 117.2

D) 10.8

**The table gives 10 samples of three measurements, made during a production run. Use the statistical process control method to find the indicated control limits.**

27) Using k_{1} = 1.954, find the upper and lower control limits for the sample means.

A) 1.68, 3.94

B) 2.02, 4.28

C) 1.59, 3.85

D) -2.07, 4.34

28) Using k_{2} = 2.568 and k_{3} = 0, find the upper and lower control limits for the sample standard deviations.

A) 0, 3.93

B) 0, 3.57

C) 0, 3.70

D) 0, 4.21