35.5k views
2 votes
The answer to the question. And what is the variance of the ages?

The answer to the question. And what is the variance of the ages?-example-1
User Dwan
by
7.7k points

1 Answer

2 votes

Let the age of students in a certain public high school be x;

So, we create a table of values as follows;

First, we fine the mean of the distribution, we have;


\begin{gathered} \mu=\sum ^{}_{}x\cdot P(x) \\ \mu=1.04+3.64+3.45+4.16+2.38+0.54 \\ \mu=15.21 \end{gathered}

Thus, the standard deviation of the distribution is;


\sigma=\sqrt[]{\sum^{}_{}(x_i-\mu)^2* P(x_i)}

Then, we will insert the deviation in the table above,

Then, we have;


\sum ^{}_{}(x_i-\mu)^2* P(x_i)=1.6259
\begin{gathered} \sigma=\sqrt[]{1.6259} \\ \sigma=1.2751 \end{gathered}

The standard deviation of the ages is 1.2751

Also, the variance is;

The variance is the square of standard deviation, we have;


\begin{gathered} \sigma^2=(1.2751)^2 \\ \sigma^2=1.6259 \end{gathered}

Thus, the variance of the ages is 1.6259

The answer to the question. And what is the variance of the ages?-example-1
User Sasha Davydenko
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories