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.

If you want to learn more you can read:

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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

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.