Question:
Find the variance of the data given below
\[
\text{Size of item:} \quad 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5 \\
\text{Frequency:} \quad 3, 7, 22, 60, 85, 32, 8
\]
Find the variance of the data given below
\[
\text{Size of item:} \quad 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5 \\
\text{Frequency:} \quad 3, 7, 22, 60, 85, 32, 8
\]
Show Hint
The variance measures the spread of the data points. Use the formula for variance to find the dispersion from the mean.
Updated On: Mar 25, 2026
- 1.29
- 1.32
- 1.36
- None of these
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The Correct Option is B
Solution and Explanation
Step 1: Use the formula for variance.
The formula for variance is: \[ \text{Variance} = \frac{1}{N} \sum f(x - \mu)^2 \] where \( N \) is the total number of frequencies, \( f \) is the frequency, and \( \mu \) is the mean of the data.
Step 2: Calculate the mean and variance.
The variance is calculated to be 1.32 using the formula. Final Answer: \[ \boxed{1.32} \]
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