Question

The standard deviation of 10 values is 4.if each value is increased by 3,then find the variance of the new set of values

Answer 1

Answer:

9

Step-by-step explanation:

No change in variance if each number increase by 4. So variance = Square(SD) = 3*3 = 9.

Answer 2

Question :- The standard deviation of 10 values is 4.if each value is increased by 3,then find the variance of the new set of values ?

Solution :-

we know that,

• If we add same constant value let k in median, mean, and quartiles , they will be changed by adding constant(k) to each value.
• However, the range, interquartile range, standard deviation and variance will remain the same.

• if we Multiplying every value by a constant(k), we also have to multiply the mean, median, quartiles, range, interquartile range, and standard deviation by that constant(k), and multiply the variance (which is simply the square of the standard deviation) by the square of that constant(k).

given that,

→ old standard deviation of 10 values = 4

→ constant number is added in each value = k = 3 .

therefore,

→ New standard deviation of new 10 values = old standard deviation of 10 values = 4 .

hence,

→ New variance = (New standard deviation)² = (4)² = 16 (Ans.)

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