Exam 3: Data Description

A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately Bell-shaped. Estimate the percent of pails with volumes between 0.95 gallons and 1.05 Gallons.

Find the mode for the following data set: 19 10 23 20 10

Find the median of the data in the following stem-and-leaf plot. The leaf represents the or 1 223 2 34888 3 7 4 1 nes digit.

For the data set below, find the outlier(s). 178 123 171 163 147 201 196 166 170 171 177

A report states that the mean household income last year for a certain rural county was $55,300 and the median was $62,800. 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?

If a student scored 82 points on a test where the mean score was $78.2$ and the standard deviation was 6.7. The student's $z$ score is_____.

Following are the closing prices (in dollars) of a certain stock for the past 20 trading days. 153.21 151.33 155.74 147.55 123.45 151.24 145.02 127.33 157.17 125.64 145.78 142.76 125.17 126.34 153.05 130.41 141.26 137.18 147.74 147.19 Find the population standard deviation for the closing prices.

A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each bottle, and the three quartiles for the fill volume are $Q _ { 1 } = 354 , Q _ { 2 } = 358$ and $Q _ { 3 } = 362$ . Find the IQR.

Given that the variance for a data set is 1.20, what is the standard deviation?

Approximate the population variance given the following frequency distribution. Class Frequency 0-19 15 20-39 13 40-59 8 60-79 10 80-99 10

Find the mean for the following data set: 32 15 29 15 25

Following are heights, in inches, for a sample of college basketball players. 83 77 83 84 84 81 79 83 83 77 77 82 78 80 83 83 81 84 81 81 Find the mean height of the basketball players.

What is the median of the following set of values? 10, 8, 5, 3, 14

For the data set below, find the first quartile. 78 65 63 67 67 64 72 78 75 65 74

A student received the following grades last semester. Find the student's semester grade I average. Course Credits Grade/Points Statistics 4 /4.0 Physics 5 /0.0 Sociology 3 /3.0 Literature 2 /3.0 Tennis 1 /1.0 oint

What is the mode of the following data set? 5, 19, 17, 13, 17, 15, 12

The costs per load (in cents) of 47 dish-washing detergents tested by a consumer organization are shown here. Find the standard deviation of the sample. Class limits Frequency 20-28 12 29-37 10 38-46 14 47-55 11

are either extremely high or extremely low data values compared with the rest of the data.

identifies a minimum percentage of the data points that fall within a certain distance of the mean, and it applies to any distribution regardless of its shape.

The median can be a more appropriate measure of central tendency if the distribution of the data is extremely skewed.