Exam 3: Numerical Summaries of Data

Following are heights, in inches, for a sample of college basketball players. 70 78 70 75 75 72 76 85 88 84 84 71 85 81 78 88 71 70 76 88 Find the sample standard deviation for the heights of the basketball players.

The following tables present the number of specimens that tested positive for Type A and Type B influenza in the United States during the first 15 weeks of a recent flu season. Find the mean number of type A and type B cases in the first 15 weeks of the flu season.

A survey found that the median number of calories consumed per day in a certain country was 3,304 and the mean was 3,204.9 calories. If a histogram were constructed for the data, would you expect it To be skewed to the right, to the left, or approximately symmetric?

For the data set below, find the IQR. 71 69 62 79 64 79 63 66 72 74 65

Approximate the population standard deviation given the following frequency distribution. Class Frequency 0-14 15 15-29 9 30-44 8 45-59 8 60-74 13

A data set has a median of 63, and six of the numbers in the data set are less than median. The data set contains a total of n numbers. If n is even, and none of the numbers in the data set are equal to 63, what is the value of n?

Find the median for the following data set: 12 13 20 15 23

Find the population variance for the following data set: 27 13 28 32 20

A population has a mean μ = 46 and standard deviation $\sigma = 15$ Find the z-score for a population value of 13.

A botany student measured the lengths of a sample of leaves to the nearest centimeter. The data is shown in the frequency distribution below. Use the data to approximate the mean to the nearest Tenth of a centimeter. Length Frequency 0-5 4 6-11 7 12-17 13 18-23 18 24-29 8 30-35 5

For the data set below, find the first quartile. 72 79 62 76 77 60 65 75 76 67 67

Find the mode of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 0 157 1 03448 2 68

The following data represent the total price, in dollars, of 20 randomly-selected gasoline purchases at a certain convenience store. 37.43 35.64 40.49 38.41 32.38 39.27 40.79 42.89 33.94 13.69 48.73 49.03 34.75 47.04 34.61 40.11 43.52 45.16 11.63 26.90 Find the median price for these purchases.

The following population parameters were obtained from a graphing calculator. Assuming the population is bell-shaped, between what two values will approximately 95% of the population be?

A report states that the mean household income last year for a certain rural county was $46,200 and the median was $37,800. If a histogram were constructed for the incomes of all households in the County, would you expect it to be skewed to the right, to the left, or approximately symmetric?

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 285 millimeters with a standard deviation of 54 mm. For pompano, the mean is 128 mm with a standard deviation of 24 mm. Stewart caught a bluefish that was 313 mm long. What was the z-score for this length?

Find the median of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 1 7 2 122489 3 8 4 23

A data set contains three unique values. Which of the following must be true?

A population has a mean $\mu = 17$ and standard deviation $\sigma = 14$ What number has a z-score of -0.1?

The following table presents the number of monthly users for the 7 most popular mobile apps. Application Monthly Users (millions) Facebook 124.5 YouTube 103.4 Facebook Messenger 94.9 Google Search 84.1 Google Play 78.1 Google Maps 75.8 Pandora Radio 73.7 Find the median number of monthly users.