Correct Answer - Option 2 : 22.14
Concept:
Sample Mean:
- A sample is a set of measurements taken from a larger population.
- The sample mean is simply the average of all the measurements in the sample.
- If the sample is random, then the sample means can be used to estimate the population mean.
The sample mean is given by
\(̅{x}\ =\ \frac{∑ x_i}{n}\ =\ \frac{x_1+x_2=\dots x_n}{n}\)
Calculation:
Given a set of measurements are
12, 13, 14, 16, 17, 40, 43
Therefore, n = 7
∑x = 12 +13 +14 +16 +17 +40 + 43
⇒ ∑x = 155
Hence, sample mean
\(̅{x}\ =\ \frac{∑ x_i}{n}\ =\ \frac{155}{7}\)
⇒ x̅ = 22.14
Hence, option 2 is correct.
