METHODS OF DATA ANALYSIS
MEASURES OF DISPERSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The Variance of a data is 2.5. Find the new variance if each data is multiplied by 3.
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22.5
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7.5
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13.5
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None of the above
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Explanation:
Detailed explanation-1: -For a population, the variance is calculated as ² = ( (x-)² ) / N. Another equivalent formula is ² = ( ( x²) / N )-². If we need to calculate variance by hand, this alternate formula is easier to work with.
Detailed explanation-2: -So the variance equals: 0.8. Now, i read around that if I multiply the observation values by 5, the variance should increase by 25.
Detailed explanation-3: -Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. Step 2: Find each score’s deviation from the mean. Step 3: Square each deviation from the mean. Step 4: Find the sum of squares. Step 5: Divide the sum of squares by n – 1 or N. 18-Jan-2023
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