Chapter 4

For the following ordered set of data, find the 40th percentile 0,2,4,5,5,6,7,7,8

5

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

34.03

Which of the following statements describe a feature of a scatter diagram. Select all that apply.

Each observation is represented by a single dot.

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

Ordinal and Nominal

Which one of the following is true?

Pearson's coefficient of skewness uses the difference between the sample mean and the median.

Dot plots allow one to observe which of the following? Select all that apply.

The shape of a distribution. The spread in a distribution. The center of a distribution.

Describe the difference between a histogram and a dot plot.

Histogram is better for large data sets and dot plot is better for small data sets.

To create a dot plot, you do which of these operations?

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

Which of the following is not a measure of position?

The Variance The Correlation Coefficient The Median

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

5.61 (11% of 50 is 5.5 so go a little bit over)

Match the coefficent of skewness to the correct interpretation

sk=1.83 is Moderate positive skewness sk=0.01 is very nearly symmetrical sk=-1.52 Moderate negative skewness sk=2.60 Considerable positive skewness

Choose the statement that best describes a scatter diagram.

A graphical technique to show the relationship between two variables.

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. The minimum is further away that the maximum is - Q1 is further away from the median that is Q1.

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

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

Which statements below describe the relative use of dot plots and histograms?

Histograms are more useful for large data sets. Dot plots are most useful for small data sets.

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

The Range and The Standard Deviation

The interquartile range is a measure of dispersion used to construct box plots. What is the definition of interquartile range?

The distance between the first and third quartile. The The difference between smallest value and the largest value of the middle 50% of a set of data. ie Q3-Q1