1. MTB Step 3 - Descriptive Statistics

Question 1

DESCRIPTIVE STATISTICS:

Mode

Answer 1

The most frequently appearing measurement in a set of data points.

• i.e., 1, 2, 3, 4, 8, 8, 8, 20, 100. In this set, the mode is 8

Question 2

DESCRIPTIVE STATISTICS:

Mean

Answer 2

The average of all the data points.

• i.e., 1, 2, 3, 4, 8, 8, 8, 20, 100 the mean is 17

Question 3

DESCRIPTIVE STATISTICS:

Median

Answer 3

The data point halfway between the highest and lowest in the collection of measurements.

• i.e., 1, 2, 3, 4, 8, 8, 8, 20, 100 the median is 8

Question 4

DESCRIPTIVE STATISTICS:

Range

Answer 4

The numerical distance between the highest value and the lowest.

• i.e., 1, 2, 3, 4, 8, 8, 8, 20, 100 the range is from 1 to 100.

Question 5

DESCRIPTIVE STATISTICS:

Mode, Median, and Mean for a Normal Distribution

Answer 5

Mode = Median = Mode

Question 6

DESCRIPTIVE STATISTICS:

Mode, Median, and Mean for a Positively/Right-side “Skewed” Distribution.

Mode, Median, and Mean for a Negatively/Left-side “Skewed” Distribution.

Answer 6

Positive Skew: Mode < Median < Mean:

• i.e., 1, 2, 3, 4, 8, 8, 8, 20, 100 is positively “skewed” (skewed to the right) because the single outlier at 100 extends the range of the data set out to the right.

Negative Skew: Mean < Median < Mode:

• i.e., 1, 80, 92, 92, 92, 97, 98, 99, 100 s negatively “skewed” (skewed to the left) because the single outlier at 1 extends the range of the data set out to the left.