Q.65 - The Practice of Statistics for AP

Question

The mean of the average scores you get should be close to

(a) $515$ .

(b) $515/100=5.15$.

(c) $515/\sqrt{100}=51.5$.

(d) $0$.

(e) none of these.

Step-by-Step Solution

Answer

The correct answer is (a) $515$.

Step 1: Given Information

Mean $=515$,

Standard deviation $=114$,

Number of students for SRS $=100$.

Step 2: Explanation

The average population's mean is $x$,

${\mu }_{\overline{x}}=\mu$

The mean be $\mu$ and the standard deviation is $\sigma$.

$\mu =515$ and $\sigma =114$

Use the formula to calculate the average of the scores. ${\mu }_{\overline{x}}=\mu$.

In the above equation, substitute $\mu$ with $515$.

${\mu }_{\overline{x}}=515$

The average score is $515$.