Business Descriptive Statistics Worksheet

All questions are multiple choice.

Submit answers through Canvas on or before the due date.  No answers are accepted after the due date.  If no answers are submitted by the due date, the grade will be zero.

Take care and note that answers through Canvas may only be submitted once.  Therefore, download the Word file with the questions.  Obtain all the answers.  Then submit all your answers only once through Canvas.

At the MDHarper.com website, click the “Business Statistics” tab.

. . .

Consider the material in Chapter 2.

I cover material that the textbook does not cover and the textbook covers material I do not.

The lecture will cover the key material for this course.

. . .

*Histogram

*Stem and Leaf

*Box and Whiskers

*Bar chart

*Pareto chart

*Pie chart

*Line chart

*Control chart

*Scatter plot

*Radar chart

*Probability Distribution

*Probability Density Function (pdf)

*Probability Distribution Function (PDF)

*Mean

*Median

*Mode

*Range

*Variance

*Standard Deviation

*Percentiles

Covariance

Correlation

Regression

How many statements are correct?   0  1  2  3  4  5  6  7  8

Statement A. For a random variable, X, that follows a probability distribution, P(X), the mean is given by SX*X*P(X).

Statement B. The expectation of a random variable is the same as the mean of a distribution.

Statement C. The standard deviation is the square root of the variance.

Statement D. The mean, median, and mode is a measure of dispersion whereas range, standard deviation and variance is s measure of central tendency.

Statement E. The mean=median=mode for a symmetric distribution.

Statement F. For a positively skewed distribution, the mean<median<mode.

Statement G. For a skewed left distribution, the mean>median>mode.

Statement H. A skewed left distribution is the same as a positively skewed distribution.

. . .

How many statements are correct?   0  1  2  3  4  5  6  7  8

Statement A. A Histogram displays frequency content of aggregate numerical data.

Statement B. A Stem and Leaf displays data points as the frequency content of aggregate numerical data.

Statement C. A Box and Whiskers Plot displays Max, Min, first, second, and third quartiles.

Statement D. A Bar Chart displays frequency content of categorical data rank ordered by frequency.

Statement E. A Pareto Chart displays frequency content of categorical data.

Statement F. A Pie Chart displays relative frequency content of categorical data.

Statement G. A Radar Chart displays multiple variables.

Statement H. A Scatter Plots displays relationship between two numerical variables.

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. . .

Which statement correctly interprets the box-and-whiskers plot?

Statement A. The median is 5, Q1=4, Q3=7, Min=0, Max=9.

Statement B. The median is 6, Q1=4, Q3=10, Min=2, Max=16.

Statement C. The median is 6, Q1=4, Q3=7, Min=1, Max=8.

Statement D. The median is 8, Q1=2, Q3=16, Min=0, Max=18.

Statement E. None of the above

. . .

How many statements are correct from the box-and-whiskers plot?  0  1  2  3  4  5  6  7  8

Statement A. The distribution is negatively skewed

Statement B. The range is 9

Statement C. The first quartile is 1

Statement D. The 75^th percentile is 8

Statement E. The median is 6

Statement F. The interquartile range is 7

Statement G. The mean is greater than 6

Statement H. The distribution is skewed right

. . .

. . .

A. (11,21,32,22,23,13,14)

B. (12,18,21,22,23,34,43)

C. (2,8,1,2,3,4,3)

D. (120,180,210,220,230,340,430)

E. None of the above

. . .

Statement A. Median 21

Statement B. Q1=11

Statement C. Q3=43

Statement D. The interval is 5

Statement E. Sample size is 7

Statement F. The range is 31

Statement G. The distribution is skewed right.

. . .

A. (15,21,24,25,26,30,35,38,49)

B. (13,20,22,24,26,28,35,36,45)

C. (12,21,24,26,28,29,35,40,50)

D. (13,20,22,25,26,28,35,36,45)

E. None of the above

.

. . .

A. 11.0    B. 9.5   C. 8.5   D. 7.8   E. None of the above

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Your graphs for a county you select should look like these:

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