Q1. Find the median of 5, 9, 8, 6, 7.
Arrange: 5, 6, 7, 8, 9
n = 5 (odd), middle value is the 3rd
Median = 7
Statistics — Class 9
Turn a pile of numbers into one meaningful value. Compute the mean, median and mode of any data set instantly.
MeanThe average: sum of all observations ÷ number of observations.
MedianThe middle value when the data is arranged in ascending order.
ModeThe observation that occurs most frequently.
Data presentationRaw data is organised using frequency tables, bar graphs, histograms and frequency polygons.
Mean · Median · Mode calculator Interactive
Enter numbers (comma separated) to get the mean, median, mode and range.
Mean—
Median—
Mode—
Range—
Numericals practice Interactive
Mean problems with steps.
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Solved examples
Formula sheet
| Quantity | Formula |
|---|---|
| Mean | x̄ = Σx / n |
| Median (n odd) | ((n+1)/2)-th value |
| Median (n even) | average of the two middle values |
Common mistakes & exam wins
- Always sort the data before finding the median.
- For an even number of values, the median is the average of the two middle ones.
- A histogram has no gaps between bars (continuous data); a bar graph does.
Frequently asked questions
What are the three measures of central tendency?
The mean (average), median (middle value) and mode (most frequent value).
How do you find the median?
Arrange the data in order; the median is the middle value (or the average of the two middle values if n is even).
What is the difference between a bar graph and a histogram?
A bar graph has gaps between bars (categorical data); a histogram has no gaps (continuous grouped data).