Question

find the mean of the following data set. assume the data set is a sample. round your answer to the nearest hundredth, if necessary.
37, 38, 38, 39, 33, 33, 36, 32, 26, 43, 30
answer

Explanation:

Step1: Calculate the sum of data

$$37 + 38+38 + 39+33+33+36+32+26+43+30$$
$$=(37+33)+(38 + 38)+(39+32)+(33+36)+(26+43)+30$$
$$=70+76+71+69+69+30$$
$$=70+76+(71+69)+(69+30)$$
$$=70+76 + 140+99$$
$$=146+140+99$$
$$=286+99$$
$$=385$$

Step2: Count the number of data points

There are \(n = 11\) data points.

Step3: Calculate the mean

The formula for the sample mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=385\) and \(n = 11\) into the formula: \(\bar{x}=\frac{385}{11}=35\)

Answer:

\(35.00\)