Q. 192 - Elementary Statistics

Question

Identify each quantity as a parameter or a static

(a) $\mu$     

(b) $s$

(c) $\overline{x}$

(d) $\sigma$

Step-by-Step Solution

Answer

(a)$\mu$is parameter quantity

(b) $s$ is statistic quantity

(c)$\overline{x}$is statistic quantity

(d)$\sigma$is parameter quantity

Step 1: Given Information

We are given $4$ quantities $\mu ,s,\overline{x},\sigma$.

We need to identify whether quantity is parameter or statistics.

Step 2:Explanation

A statistic is a quantity that describes some characteristic of a sample.

A parameter is a quantity that describes some characteristic of a population.

Hence, $\overline{x}$ and $s$ are static quantities.

Hence, $\mu$ and $\sigma$ are parameter quantities.