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3.1 MEASURES OF CENTRAL TENDENCY

13. Crash Test Results The Insurance Institute for Highway Safety crashed the 2010 Ford Fusion four times at 5 miles per hour. The costs of repair for each of the four crashes were $2529, $1889, $2610, $1073 Compute the mean, median, and mode cost of repair.

Mean: $2025.25 Median: $2209 Mode: No mode.

14. Cell Phone Use The following data represent the monthly cell phone bill for my wife’s phone for six randomly selected months. $35.34, $42.09, $39.43, $38.93, $43.39, $49.26 Compute the mean, median, and mode phone bill.

Mean: $41.4067 Median: $40.76 Mode: No mode.

15. Concrete Mix A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The strength of concrete is measured by pouring the mix into casting cylinders 6 inches in diameter and 12 inches tall. The concrete is allowed to set for 28 days. The concrete’s strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). 3960, 4090, 3200, 3100, 2940, 3830, 4090, 4040, 3780 Compute the mean, median, and mode strength of the concrete (in psi).

Mean: 3670 Median: 3830 Mode: 4090

16. FlightTime Thefollowingdatarepresenttheflighttime(in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on Continental Airlines. 282, 270, 260, 266, 257, 260, 267 Compute the mean, median, and mode flight time.

Mean: 266 Median: 266 Mode: 260

17. For each of the three histograms shown, determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer.

A. Greater than B. Equal C. Less than.

3.2 MEASURES OF DISPERSION

5. Sample:20,13,4,8,10

Variance: 36 | Sample Deviation: 6

6. Sample:83,65,91,87,84

Variance: 100 | Sample Deviation: 10

7. Population:3,6,10,12,14

Variance: 16 | Population Deviation: 4

8. Population:1,19,25,15,12,16,28,13,6

Variance: 64 | Population Deviation: 8

9. Sample:6,52,13,49,35,25,31,29,31,29

Variance: 196 | Sample Deviation: 14

10. Population:4,10,12,12,13,21

Variance: 25 | Population Deviation: 5

14. Flight Time The following data represent the flight time (in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on Continental Airlines. 282, 270, 260, 266, 257, 260, 267 Compute the range and sample standard deviation of flight time.

Range: 25 | Standard Deviation: 8.426

24. The Empirical Rule The following data represent the length of eruption for a random sample of eruptions at the Old Faithful geyser in Calistoga, California.

A. 6 B. Almost bell shaped, so the emperical rule does apply C. 95% D. 95.5 E. 16% F. 11.4%