Question

Find the variance and standard deviation for the data. 35,45,30,35,40,25

Answer 1

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