Given a frequency distribution table of marks, calculate the mean and variance.

May 23, 2026Mathematics

ScanSolve AI Answer

May 23, 2026

Another one Flore💝❤️ — let's solve it.

To solve this problem, we first need to calculate the midpoint ( $x$ ) for each class interval, and then use these values along with the frequencies ( $f$ ) to compute the necessary sums.

Step 1: Create a summary table for calculations.

| Marks | No of Students ( $f$ ) | Midpoint ( $x$ ) | $fx$ | $x^2$ | $fx^2$ | | :---- | :------------------- | :------------- | :--- | :---- | :----- | | 0-10 | 16 | 5 | 80 | 25 | 400 | | 10-20 |

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Another one Flore💝❤️ — let's solve it. To solve this problem, we first need to calculate the midpoint (x) for each class interval, and then use these values along with the frequencies (f) to compute the necessary sums.

Asked on May 23, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 23, 2026

Another one Flore💝❤️ — let's solve it. To solve this problem, we first need to calculate the midpoint (x) for each class interval, and then use these values along with the frequencies (f) to compute the necessary sums. Step 1: Create a summary table for calculations. | Marks | No of Students (f) | Midpoint (x) | fx | x^2 | fx^2 | | :---- | :------------------- | :------------- | :--- | :---- | :----- | | 0-10 | 16 | 5 | 80 | 25 | 400 | | 10-20 |