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Numerical Ability i
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The variation in temperature throughout the day in a desert town was studied on the basis of the records of the
maximum and minimum temperatures which were 36 and 8 degree centigrade respectively. What was the
standard deviation in degree centigrade?
22
14
12
28
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Answer 1

Given :- The variation in temperature throughout the day in a desert town was studied on the basis of the records of the maximum and minimum temperatures which were 36 and 8 degree centigrade respectively. What was the standard deviation in degree centigrade ?

A) 22

B) 14

C) 12

D) 28

Solution :-

Step 1) :- work out the arithmetic mean of the numbers .

• Total numbers = 2
• Sum = 36 + 8 = 44
• Arithmetic mean = Sum / Total numbers = 44/2 = 22.

Step 2) :- Take each number, subtract the mean and square the result .

• Differences = (36 - 22) = 14, (8 - 22) = (-14). (Every Number minus Mean)
• (Differences)² = (14)² = 196, (-14)² = 196 (Square of each difference)

Step 3) :- Now calculate the Variance .

• Sum of (Differences)² = 196 + 196 = 392
• Variance = (Sum of Differences)² / Total numbers = (392/2) = 196 .

Step 4) :- Take the square root of the Variance .

• Standard Deviation = √(Variance) = √(196) = 14.

Therefore, standard deviation in degree centigrade was 14. (Option B).

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