Exam 3: Describing, Exploring, and Comparing Data

A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4,5,1,5,4 . The grading system assigns quality points to letter grades as follows: A=4, B=3, C=2, D=1 , and F=0 . Compute the grade point average (GPA) and round the result to two decimal places.

When finding percentiles, if the locator L is not a whole number, one procedure is to interpolate so that a locator of 23.75, for example, leads to a value that is 3/4 of the way between the 23rd and 24th scores. Use this method of interpolation to find P75 for the set of Test scores below. 51 54 64 68 72 74 76 83 94 94 99

An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm)of randomly selected adult males. A frequency distribution is created from the data. The frequencies in order are 1, 8, 56, 237, 382, 228, 48, 4, 1. Does it appear that the sample is from a population with a normal distribution? Explain.

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's center is 6.9 feet tall. Find the center's z score. Is his score unusual?

Find the variance for the given data. Round your answer to one more decimal place than the original data. To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: \ 663 \ 273 \ 410 \ 622 \ 174 \ 374

A student earned grades of 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the course grade, the final exam counts for 30%, the project Counts for 10%, and homework counts for 20%. What is her weighted mean grade? Round to One decimal place.

The local Tupperware dealers earned these commissions last month: \ 2894.21 \ 1777.15 \ 2144.77 \ 4096.37 \ 4046.29 \ 1786.37 \ 3296.69 \ 4086.27 \ 2784.22 \ 4027.79 What was the mean commission earned? Round your answer to the nearest cent.

The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the mean is that? Round your answer to two decimal places.

The test scores of 40 students are listed below. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98

Use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest. 110 120 178 213 234 234 235 237 240 243 245 245 250 250 251 252 254 255 255 259 260 266 269 273 Construct a boxplot and make observations about the shape, if there is skewness including in what direction, and if there are any outliers. Explain the skewness in terms of the difference between $Q _ { 1 }$ and the median and $Q _ { 3 }$ and the median.

An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm)of randomly selected adult males based on data gathered: 173 179 207 158 196 195 214 199 Define this data set as discrete or continuous. The hand lengths is what type of level of measurement? Compare the mean and median for this data set and if you can draw any conclusions from these values.

Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. Find the mean for the given sample data. Round your answer to one more decimal place than the original data values. 1 5 6 8 11 14 17 46 61 90 99 126 143 167

Listed below are the arrival delay times (in minutes)of randomly selected flights between New York's JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrive before their schedule time and positive values represent delays. Calculate the range of the data and the standard deviation. Can the standard deviation be negative? -15 -18 -32 -21 -9 -32 11 2

Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Salary (dollars) Employees 5,001-10,000 19 10,001-15,000 14 15,001-20,000 12 20,001-25,000 16 25,001-30,000 19

A department store has daily mean sales of $ 28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score. Was Tuesday a significantly good day?

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z score.

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data. 22.6 16.1 36.1 36.0 23.8 20.3

Jorge has his own business as a painter. The amounts he made in the last five months are shown below: \ 2426 \ 2463 \ 1451 \ 2154 \ 1119 Find the mean, median, and range of the data.

The table below provides a frequency distribution for the winner of the Davis Cup Tennis Competition during the period 1977-1994. Winner of Davis Cup Frequency United States 6 Germany 3 Czechoslovakia 1 Australia 3 France 1 Sweden 4