CUET · MATHS · PYQ PAPER 2025
In reference to Inferential Statistics, if \(\bar{x}\) is a sample mean of random data \(\left\{x_i\right\}_{i=1}^n\) and n is the sample size, then the formula \(\frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2\) represents
- A Mean
- B Variance
- C Standard Deviation
- D t-Statistic
Answer & Solution
Correct Answer
(B) Variance
Step-by-step Solution
Detailed explanation
This is used in Inferential Statistics to estimate the variance of a population based on a sample. The formula calculates the average of the squared deviations from the sample mean \(\bar{x}\), but it divides by \(n-1\) instead of \(n\) to correct for the bias in the estimation…
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