Arrange the following in sequence to find the variance of individual observations: (A) compute of observation (B) square the deviation and obtain the sum (C) divide the sum by (D) take the deviation of observations from the mean, that is where

A, D, B, C Explanation: Solution The mathematical formula for variance ( ) is: To reach this formula, we must follow these logical steps: Step 1: Compute the Mean (A) First, you must calculate the average ( ) of all the given data points. Step 2: Calculate Deviations (D) Once you have the mean, find out how far each individual observation ( ) is from that mean. This is called the deviation. Step 3: Square and Sum the Deviations (B) Square each of those deviations to make them positive and then add them all together to get the "Sum of Squares." Step 4: Divide by the Number of Observations (C) Finally, divide that total sum by the number of observations ( ) to find the average squared deviation, which is the variance. Correct Sequence: A D B C Correct Option: (b)

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CUET PG 2026 — Mathematics PYQ

CUET PG | Mathematics | 2026

Arrange the following in sequence to find the variance of individual observations:

(A) compute $\bar{X}$ of observation $x_1, x_2, \dots, x_n$

(B) square the deviation and obtain the sum $\sum_{i=1}^{n} (x_i - \bar{X})^2$

(C) divide the sum $\sum_{i=1}^{n} (x_i - \bar{X})^2$ by $n$

(D) take the deviation of observations from the mean, that is $(x_i - \bar{X})$ where $i = 1, 2, 3, \dots, n$

Choose the correct answer: