Question

5.03 measures of central tendency, due september 26th, 4 pts
the following are the daily high temperature for the month of august in colorado springs in 2011:
98 87 101 88 79 94 91 92 89 84 88
88 87 89 78 88 86 87 95 92 89
87 85 91 95 93 81 79
what is the average?
o 87 o 95 o 101 o 88

Explanation:

Step1: Recall average formula

The formula for the average (arithmetic - mean) of a set of numbers is $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $\sum_{i = 1}^{n}x_{i}$ is the sum of the numbers and $n$ is the number of numbers.

Step2: Count the number of data - points

Count the number of daily high temperature values. There are 31 values (since August has 31 days).

Step3: Calculate the sum of the data - points

Add up all the daily high temperature values:
\[

$$\begin{align*} &98 + 87+101+88+79+94+91+92+89+84+88+92+95+96+88+87+86+78+89+88+87+85+91+95+93+81+79+88+89+87+88\\ =&2728 \end{align*}$$

\]

Step4: Calculate the average

Divide the sum by the number of data - points: $\bar{x}=\frac{2728}{31}\approx88$.

Answer:

88