# Short answer questions in Statistics

1 What is a mean? A median? A mode?

2 What is a frequency distribution?

3 What is a normal distribution?

4 What is the approximate probability that a data point will fall within one standard deviation of the mean of a normally distributed data set?

5 How does one begin to use Excel (or other comparable software) to calculate basic statistics on a set of input data?

6 How does one use Excel (or other comparable software) to calculate and display a scatter diagram?

7 What is linear regression? What is the difference between simple regression analysis and multiple regression analysis?

8 What is the most important concept in regression analysis?

9 What are the limitations of regression analysis?

10 What is linear programming? What are the two major types of linear programming problems?

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#### Solution Preview

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1 What is a mean? A median? A mode?

"The mean is the average value of all the data in a data set.

The median is the value that has exactly half the data above it and half below it.

The mode is the value that occurs most frequently in the data set.

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"The mean of a numeric variable is calculated by adding the values of all observations in a data set and then dividing that sum by the number of observations in the set.

Mean = sum of all the observation values ÷ number of observations

"

"If observations of a variable are ordered by value, the median value corresponds to the middle observation in that ordered list. The median value corresponds to a cumulative percentage of 50% (i.e., 50% of the values are below the median and 50% of the values are above the median).

The position of the median is (n+1)/2 Th value where n is the number of values in a set of data. In order to calculate the median, the data must be ranked (sorted in ascending order) first. The median is the number in the middle.

Median = the middle value of a set of data.

If the number of observations is odd, the median fits perfectly.

If the number of observations is even, one needs to find the midpoint between the numbers on either side of the median position.

"

"In a set of data, the mode is the most frequently observed data value. There may be no mode if no value appears more than any other. There may also be two modes (bimodal), three modes (trimodal), or four or more modes (multimodal).

Mode = the most frequently observed data value

"

2 What is a frequency distribution?

"A frequency distribution is a tabular arrangement of data where the data is grouped into different intervals, and then the number of observations that belong to each interval is determined. Data that is presented in this manner are known as grouped data.

"

3 What is a normal distribution?

"A normal distribution is a ...

#### Solution Summary

Answers short answer questions in statistics.