You have found the following ages (in years) of all 666 lions at your local zoo: 13,2,1,5,2,7 What is the average age of the lions at your zoo? What is the standard deviation? Average age: years old Standard deviation: years

We want to find the mean or average and the standard deviation of the given set.

The average age is 5 years old and the standard deviation is 4.52 years old.

We know that for a general set of N elements {x₁, x₂, ..., xₙ} the average or mean is given by:

And the standard deviation is given by:

The given set is:

{13, 2, 1, 5, 2, 7}

Now we just need to use the two given formulas for our set.

The mean is:

And the standard deviation is:

So the average age is 5 years old and the standard deviation is 4.52 years old.

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Step-by-step explanation:

Given

Number of Lions, n: 6

Ages: 13, 2, 1, 5, 2, 7

Required

Determine the:

1. Mean

2. Standard Deviation

Mean is calculated as;

Standard Deviation is calculated as follows

Where Mx represent mean

Substitute values for x, Mean and Land

The mean and standard deviation is 5 and 4.123 respectively

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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