Find the variance and standard deviation for the data. 35,45,30,35,40,25
Answers
Answered by
0
Answer:
The variance of the data is 41.67, whereas the standard deviation is 6.46
Step-by-step explanation:
To get the variance, we must first calculate the mean.
Mean of the data = Sum of the entries/number of entries
= (35 + 45 + 30 + 35 + 40 + 25)/6
= 210/6 = 35
Now, we need to calculate the deviation of each entry from the mean.
We have:
(35 - 35), (45 - 35), (30 - 35), (35 - 35), (40 -35), (25 -35)
= 0, 10, -5, 0, 5, -10
Variance = (sum of the square of the deviations)/ number of entries.
So, we have:
(0² + 10² +(-5)² + 0² + 5² + (-10)²)/6
= 41.67
The standard deviation = √41.67 = 6.46
Similar questions