Descriptive Statistics

Mode and Range

Find the mode (most frequent value) and range (max minus min) of a data set.

Example

Count frequencies for the mode and subtract min from max for range.

highlighted = computed this step

Step 1 — Data

List the data values.

posx1424374952\begin{array}{cc}\text{pos} & \text{x} \\ 1 & 4 \\ 2 & 4 \\ 3 & 7 \\ 4 & 9 \\ 5 & 2\end{array}

Step 2 — Frequency table

Count how often each value appears.

xfreq21427191\begin{array}{cc}\text{x} & \text{freq} \\ 2 & 1 \\ 4 & \hlmath{2} \\ 7 & 1 \\ 9 & 1\end{array}
Count each value12241719

Step 3 — Mode

Choose the most frequent value as the mode.

mode=4mode= \hl{4}
mode 4 appears 2 times12241719

Step 4 — Range

Subtract the minimum from the maximum.

range=9−2=7range= 9 - 2 = \hl{7}
range = 9 - 2 = 729distance 7
mode-and-range Mode: the value that appears most often in the data. Range: the difference between the maximum and minimum values. range = max - min