Exam 2: Methods for Describing Sets of Data

A sociologist recently conducted a survey of senior citizens who have net worths too high to qualify for Medicaid but have no private health insurance. The ages of the 25 uninsured senior Citizens were as follows: 67 72 65 75 85 73 60 88 64 89 68 91 75 61 80 62 67 80 69 72 59 86 74 63 81 Find the median of the observations.

The amount spent on textbooks for the fall term was recorded for a sample of five hundred university students. It was determined that the 75th percentile was the value $500. Which of the Following interpretations of the 75th percentile is correct?

The data show the total number of medals (gold, silver, and bronze)won by each country winning at least one gold medal in the Winter Olympics. Find the range, sample variance, and sample standard deviation of the numbers of medals won by these countries. 1 2 3 3 4 9 9 11 11 11 14 14 19 22 23 24 25 29

For large data sets, a stem-and-leaf display is a better choice than a histogram.

Scatterplots are useful for both qualitative and quantitative data.

The outer fences of a box plot are three standard deviations from the mean.

The z-score for a value x is -2.5. State whether the value of x lies above or below the mean and by how many standard deviations.

A sociologist recently conducted a survey of citizens over 60 years of age who have net worths too high to qualify for Medicaid but have no private health insurance. The ages of the 25 uninsured Senior citizens were as follows: 68 73 66 76 86 74 61 89 65 90 69 92 76 62 81 63 68 81 70 73 60 87 75 64 82 Suppose the mean and standard deviation are 74.04 and 9.75, respectively. If we assume that the Distribution of ages is mound-shaped and symmetric, what percentage of the respondents will be Between 64.29 and 93.54 years old?

When Scholastic Achievement Test scores (SATs)are sent to test-takers, the percentiles associated with scores are also given. Suppose a test-taker scored at the 56th percentile on the verbal part of The test and at the 34th percentile on the quantitative part. Interpret these results.

The calculator screens summarize a data set. a. Identify the smallest measurement in the data set. b. Identify the largest measurement in the data set. c. Calculate the range of the data set.

What number is missing from the table?

On a given day, the price of a gallon of milk had a mean price of $2.03 with a standard deviation of $0.07. A particular food store sold milk for $1.96/gallon. Interpret the z-score for this gas station.

By law, a box of cereal labeled as containing 20 ounces must contain at least 20 ounces of cereal. The machine filling the boxes produces a distribution of fill weights with a mean equal to the Setting on the machine and with a standard deviation equal to 0.04 ounce. To ensure that most of The boxes contain at least 20 ounces, the machine is set so that the mean fill per box is 20.12 ounces. Assuming nothing is known about the shape of the distribution, what can be said about the Proportion of cereal boxes that contain less than 20 ounces.

Which of the following is a measure of the variability of a distribution?

The box plot shown below was constructed for the amount of soda that was poured by a filling machine into 12-ounce soda cans at a local soda bottling company. We see that one soda can received 12.30 ounces of soda on the plot above. Based on the box plot Presented, how would you classify this observation?

For a given data set, the lower quartile is 45, the median is 50, and the upper quartile is 57. The minimum value in the data set is 32, and the maximum is 81. a. Find the interquartile range. b. Find the inner fences. c. Find the outer fences. d. Is either of the minimum or maximum values considered an outlier? Explain.

Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees To program, and you have been requested to review the performance of one of the trainees on the Final test that was given to all trainees. The mean and standard deviation of the test scores are 80 And 5, respectively. Assuming nothing is known about the distribution, what percentage of Test-takers scored above 95?

Parking at a university has become a problem. University administrators are interested in determining the average time it takes a student to find a parking spot. An administrator Inconspicuously followed 120 students and recorded how long it took each of them to find a Parking spot. Which of the following types of graphs should not be used to display information Concerning the students parking times?

In an eye color study, 25 out of 50 people in the sample had brown eyes. In this situation, what does the number .50 represent?

The manager of a store conducted a customer survey to determine why customers shopped at the store. The results are shown in the figure. What proportion of customers responded that merchandise was the reason they shopped at the store?