2.5: Statistical Functions
- Page ID
- 151138
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Excel’s statistical functions allow you to summarize, describe, and interpret data efficiently. These tools are essential for identifying trends, evaluating performance, and supporting data-driven decisions in business, research, and education. Instead of manually performing dozens of calculations, Excel performs instant analyses that update automatically as new data is entered.
The most commonly used statistical functions include:
|
Function |
Description |
Example |
Result |
|---|---|---|---|
|
=AVERAGE(range) |
Calculates the mean (average) of values. |
=AVERAGE(C2:C20) |
Returns the mean of cells C2–C20. |
|
=MIN(range) |
Finds the smallest number in a dataset. |
=MIN(D2:D20) |
Returns the lowest score or value. |
|
=MAX(range) |
Finds the largest number in a dataset. |
=MAX(D2:D20) |
Returns the highest score or value. |
|
=COUNT(range) |
Counts how many cells contain numeric data. |
=COUNT(B2:B20) |
Returns how many valid numbers exist in the range. |
These basic statistical functions provide a snapshot of your dataset—helping you assess variability, distribution, and performance at a glance. For example, a teacher might use =AVERAGE() to calculate a class’s mean exam score, while a business analyst could use =MAX() to identify the top-performing product for the quarter.
Beyond the basics, Excel also offers MEDIAN and MODE functions for deeper insight:
- =MEDIAN(range) returns the middle value of a dataset, which is particularly useful when outliers distort the average.
- =MODE.SNGL(range) or =MODE.MULT(range) identifies the most frequently occurring number(s) in a dataset.
These additional functions help reveal trends in data distributions. For example:
- A real estate analyst may use =MEDIAN(C2:C50) to determine the midpoint home price, avoiding distortion from luxury listings.
- A store manager could use =MODE.SNGL(E2:E200) to find the most common product quantity sold, identifying customer purchasing habits.
Statistical functions can be combined with conditional formatting, charts, or logical functions for powerful analysis. For instance, pairing =AVERAGE() with color scales allows you to visualize above- and below-average performance instantly.
This page was created by pulling information from Computer Fundamentals for Technical Students (Heisserer) by Nick Heisserer, CC BY 4.0; Workplace Software and Skills (OpenStax) by OpenStax, CC BY 4.0; and Beginning Excel (Brown et al.) by Brown et al., CC BY-NC-SA 4.0.