Frequency Table Calculator
Calculate the mean from a frequency table. Enter your values and frequencies to find the mean with full working shown — a common exam question format.
| Value (x) | Frequency (f) | |
|---|---|---|
Mean (from frequency table)
2.666667
How it works
Multiply each value by its frequency (fx)
1 × 3 = 3, 2 × 5 = 10, 3 × 2 = 6, 4 × 4 = 16, 5 × 1 = 5.
Sum the fx column and the frequency column
Total frequency = 15. Sum of fx = 40.
Calculate the mean
Mean = sum of fx ÷ sum of frequencies = 40 ÷ 15 = 2.666667.
Result:2.666667
Mean from a Frequency Table
Example substitution
Multiply each value by its frequency, sum them, then divide by total frequency.
Worked examples
Find the mean from this frequency table: Score 1 (f=2), Score 2 (f=5), Score 3 (f=3).
- 1Multiply values by frequencies (fx): 1×2=2, 2×5=10, 3×3=9
- 2Sum fx: 2 + 10 + 9 = 21
- 3Sum frequencies: 2 + 5 + 3 = 10
- 4Mean = Σfx ÷ Σf: 21 ÷ 10 = 2.1
Frequently asked questions
How do you find the mean from a frequency table?+
Multiply each value by its frequency, add all the products (Σfx), then divide by the total frequency (Σf).
How do you find the median from a frequency table?+
Find the cumulative frequencies, then locate the middle value. For n data points, the median is at position (n+1)/2.
How do you find the mode from a frequency table?+
The mode is the value with the highest frequency.
What is the modal class?+
For grouped frequency tables, the modal class is the group with the highest frequency.