A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 what is the v
2 answers:
Answer:
Standard Deviation = 29.40
Variance = 864
Step-by-step explanation:
A contractor records all of the bedroom areas, in square feet of a 5 bedroom house as : 100, 100, 120, 120, 180
To calculate the standard deviation first we have to calculate the mean of the data
( 100 + 100 + 120 + 120 + 180 ) / 5
= 620 / 5 = 124
Then for each number subtract the mean and square the result :
-24, -24, -4, -4, 56
square the result = 576, 576, 16, 16, 3136
Now work out the mean of these squared differences.
( 576 + 576 + 16 + 16 + 3136 ) / 5 = 4320 / 5 = 864
This value is Variance, so the variance = 864
Now we take the square root of 864 to get standard deviation
= 29.39 rounded to 29.40
Standard Deviation = 29.40
Variance = 864
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