chapter 4

Match the proportion of observations below the measure to the measure of position.

1/2 matches Choice, median median 4/5 matches Choice, 8th decile 8th decile 3/4 matches Choice, 3rd quartile 3rd quartile 1/5 matches Choice, 20th percentile 20th percentile

For the following ordered set of data, find the 60th percentile.

10

Choose the statement that best describes a scatter diagram.

A graphical technique to show the relationship between two variables,

In the contingency table shown, which dealership had more than half of their sales above median profit?

Tionesta

Which one of the following pairs of variables would be best-suited for a contingency table?

Favorite Color and Gender

Which of the following is true regarding dot plots and histograms? Select all that apply.

Dot plots do not lose the identity of individual observations.

Match the quartiles on the left with their definition on the right.

First Quartile: Separates the bottom 25% of the data from the upper 75% Second Quartile: Separates the bottom 50% of the data from the upper 50% Third Quartile: Separates the bottom 75% of the data from the upper 25%

When you create a dot plot, you do which of these operations? Select all that apply.

Place a dot along a horizontal scale for each observation. "Pile up" dots that are too close to show separately.

If a set of data exhibits significant positive skewness, then which of the following would be expected of Pearson's coefficient of skewness?

The coefficient should be close to 3.

Which one of these statements is not part of the description of a scatter diagram?

The data points are connected to create a graph.

The interquartile range is a measure of dispersion usually used along with the median. What is the definition of interquartile range?

The distance between the first and third quartile.

What is the measure of position called below which 75% of the observations occur?

The third quartile

For a given data set, suppose Q1 = 70, Q2 = 80, Q3 = 100. Which of the following is true about outliers?

An observation of 20 would be an outlier.

For the scatter diagram shown, what is the relationship between the variables?

Little or no relationship

Identify the shape of the distribution shown in the picture.

Negatively Skewed

Contingency tables are used for summarizing data of what level? Select all that apply.

Nominal Ordinal

Identify the shape of the distribution shown in the picture.

Positively Skewed

For the following ordered set of data, find the 90th percentile. 0, 2, 3, 5, 5, 6, 8, 10, 10, 11, 12, 14, 16, 20, 23 Multiple choice question. 20

21.2

A dot plot would be appropriate to display which one of the following kinds of data?

A small set of data.

Match the coefficient of skewness (it could be either Pearson's or the Software coefficient) to the correct interpretation.

sk=1.83 matches Choice, Moderate positive skewness Moderate positive skewness sk=0.01 matches Choice, very nearly symmetrical very nearly symmetrical sk=-1.52 matches Choice, Moderate negative skewness Moderate negative skewness sk=2.60 matches Choice, Large positive skewness Large positive skewness

Which one of the following formulas is Pearson's Coefficient of Skewness?

sk=3(X−Median)s

For the scatter diagram shown, how would you characterize the relationship between the variables?

Strong negative relationship

For the scatter diagram shown here, what kind of relationship do you see between the variables?

Strong positive relationship.

Suppose a given data set has the following characteristics: Minimum value: 120 Q1: 160 Q2: 190 Q3: 200 Maximum Value: 220 Which of the following is true about the distribution of the data?

The distribution is negatively skewed.

For a given data set, suppose Q1 = 40, Q2 = 45, Q3 = 50. Also, suppose that the three smallest observations are 20, 24, and 28. Which of the following is true about the box plot for this data set?

There would be two asterisks plotted to indicate outliers at 20 and 24.

Which one of the following formulas is the Software Coefficient of Skewness?

sk=n(n−1)(n−2)n(n-1)(n-2)[Σ(x−xs)3]

Which of the following is not a measure of position?

standard deviation

Each of the following is a measure of position in a set of data except:

the standard deviation

Match the measure of position to the number of parts into which it divides a set of observations. Instructions

100 percentiles percentiles 10 deciles deciles 4 quartiles quartiles 2 median median

In the contingency table shown, how many below median profit sales were made by the Sheffield dealership?

26

What would the location of the 83rd percentile be for a data set with 40 observations?

34.03

What would the location of the 11th percentile be for a data set with 50 observations?

5.61

Match the coefficient of skewness (it could be either Pearson's or the Software coefficient) to the correct interpretation. Instructions

sk=1.83 matches Choice, Moderate positive skewness Moderate positive skewness sk=0.01 matches Choice, very nearly symmetrical very nearly symmetrical sk=-1.52 matches Choice, Moderate negative skewness Moderate negative skewness sk=2.60 matches Choice, Large positive skewness Large positive skewness

Which of the following are features of a dot plot? Select all that apply.

A horizontal line indicating the possible values of the data. One dot for each observation. Dots "piled up" for observations very close together.