MATH 1530

Unit 1 Formula Sheet

Maximum and Minimum Usual Values:

Mimimum Usual Value = \(\mu - 2 \sigma\)

Maximum Usual Value = \(\mu + 2 \sigma\)

\(\text{Range}=\text{Maximum}-\text{Minimum}\)

\(\text{Midrange}=\frac{\text{Maximum}+\text{Minimum}}{2}\)

\(\text{Class Midpoint}=\frac{LCL+UCL}2\)

CLASS WIDTH:

• From raw data: \(\frac{ \text {Range} }{ \text {Number of Classes} }\) (round up)
• From table: \( \text {Class Width} = LCL_2-LCL_1\)

\( \text {Relative Frequency} = \frac{ \text {Class Frequency} }{ \text {Sample Size} } = \frac fn \)

\( \text {Variance} = \left( \text {standard deviation} \right)^2\)

\(\text{Population Mean}: \mu=\frac{\Sigma x}N\)

\(\text{Sample Mean}: \bar{x}=\frac{\Sigma x}n\)

\(\text{Weighted Mean}: \bar{x}=\frac{\Sigma xw}{\Sigma w}\)

\(\text{Frequency Distribution Mean}: \bar{x}=\frac{\Sigma xf}n\)

\(\text{Interquartile Range}: IQR=Q_3-Q_1\)

\(\text{Lower Outlier Critical Value}: Q_1-1.5(IQR)\)

\(\text{Upper Outlier Critical Value}: Q_3+1.5(IQR)\)

Unit 1 StatCrunch Instructions

**To get data you have copied into StatCrunch into one column click on Data—Arrange--Stack