Jennifer Holloway

Assignment #11

Statistics

Tanaka

Use of the Standard Deviation

1. The 1996 gross sales of all firms in a large city have a mean of $2.3 million and a standard deviation of $.6 million. Using Chebyshev's Theorem, find at least what percentage of firms in this city had 1996 gross sales of

a. $1.1 to $3.5 million

b. $.8 to $3.8 million

c. $.5 to $4.1 million

2. According to the National Education Association, the mean salary of public school teachers was $35,819 in 1994. Assume that the 1994 salaries of all public school teachers had a bell- shaped distribution with a mean of $35,819 and a standard deviation of $3,500. Using the empirical rule, find the percentage of public school teachers whose 1994 salaries were between

a. $28,819 and $42,819

b. $32,319 and $39, 319

c. $25,319 and $46,319

work sheet 12 as well

Assignment #12

Tanaka

Statistics

Measures of Position

1. The following data give the speeds of 13 cars, measured by radar, traveling on the interstate highway I-84.

67 72 63 66 76 69 71 76 65 79 68 67 71

a. Compute the values of the three quartiles and the interquartile range.

b. Calculate the (approximate) value of the 35th percentile.

c. Compute the percentile rank of 71.

2. The following data give the number of car thefts that occurred in a city during the past 12 days.

6 3 7 11 5 3 8 7 2 6 9 13

a. Determine the values of the three quartiles and the interquartile range. Where does the value of 9 lie in relation to these quartiles?

b. Calculate the (approximate) value of the 55th percentile.

c. Find the percentile rank of 8.

Subject | Mathematics |

Due By (Pacific Time) | 03/05/2014 |

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