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Radha Albert Randhawa
Asked: 2022-11-07T05:33:37+05:30 In:

When a constant figure is added to each individual score, what will be the effect on the mean value?
1. Mean value will be added by the same figure
2. Mean value will be subtracted by the same figure
3. Mean value will be multiplied by the same figure
4. Mean value will be divided by the same figure

When a constant figure is added to each individual score, what will be the effect on the mean value?
1. Mean value will be added by the same figure
2. Mean value will be subtracted by the same figure
3. Mean value will be multiplied by the same figure
4. Mean value will be divided by the same figure
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1 Answer

  1. Correct Answer – Option 1 : Mean value will be added by the same figure

    Arithmetic mean: The arithmetic mean is the most commonly used measure of central tendency. The mean represents the central tendency. It is defined as the sum of the values of all observations divided by the number of observations and is usually denoted by X. 

    • In general, if there are N observations as X1, X2, X3, …, XN, then the Arithmetic Mean is given by

    Mean= \({X1 + X2 + X3 +…+ Xn}\over n\).

    • This will be written in simpler form without the index i.
    • Thus mean = \(ΣX\over N\) where, ΣX = sum of all observations and N = total number of observations. 
    • Consider it: The mean of 1, 2, 3, 4, is \(1+2+3+4+5\over 5\) = 3. Let us add ‘2’ to each term, we get, \(3+4+5+6+7\over 5\) = 5
    • It should be noted that on adding ‘2’ to each team, the average is also increased by 2.

    Hence, we conclude that when a constant figure is added to each individual score, the mean value will be added by the same figure.

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