Question

this month, the tinsville petting zoo is trying to determine how long guests stay when they visit the zoo. employees randomly survey 12 guests each day as they exit about how many hours they spent at the zoo that day. here are the data for one day: 2, 1.5, 3.5, 2, 1.5, 2.5, 4, 3, 3.5, 2, 1, 3.5. what is the mean number of hours guests in this survey spent at the petting zoo? hours

Explanation:

Step1: Sum all the data values

First, we add up all the hours spent by the guests. The data points are: \(2, 1.5, 3.5, 2, 1.5, 2.5, 4, 3, 3.5, 2, 1, 3.5\).
Let's calculate the sum:
\(2 + 1.5 + 3.5 + 2 + 1.5 + 2.5 + 4 + 3 + 3.5 + 2 + 1 + 3.5\)
First, group the numbers:
\((2 + 2 + 2) + (1.5 + 1.5) + (3.5 + 3.5 + 3.5) + 2.5 + 4 + 3 + 1\)
\(6 + 3 + 10.5 + 2.5 + 4 + 3 + 1\)
Now add them step by step:
\(6 + 3 = 9\)
\(9 + 10.5 = 19.5\)
\(19.5 + 2.5 = 22\)
\(22 + 4 = 26\)
\(26 + 3 = 29\)
\(29 + 1 = 30\)
So the sum of all data points is \(30\).

Step2: Divide the sum by the number of data points

There are \(12\) guests surveyed (so \(12\) data points). The formula for the mean \(\bar{x}\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 12\) and \(\sum_{i=1}^{n}x_{i}=30\).
So we calculate \(\frac{30}{12}=2.5\)

Answer:

\(2.5\)