Find the mean of the following data set. Assume the data set is a sample.
$16,23,24,29,12,24,25,18,22,19,19$
Answer (2)
21
Explanation
Understanding the Problem We are given a data set and asked to find the mean, assuming the data set is a sample. The data set is: 16 , 23 , 24 , 29 , 12 , 24 , 25 , 18 , 22 , 19 , 19 .
Plan of Action To find the mean of a sample data set, we need to sum all the data points and divide by the number of data points. In this case, we have 11 data points.
Calculating the Sum Let's calculate the sum of the data points: 16 + 23 + 24 + 29 + 12 + 24 + 25 + 18 + 22 + 19 + 19 = 231 .
Calculating the Mean Now, we divide the sum by the number of data points, which is 11: 11 231 = 21 .
Final Answer Therefore, the mean of the data set is 21.
Examples
In everyday life, calculating the mean is useful in various scenarios. For instance, if you want to know your average score on a series of tests, you would sum all your scores and divide by the number of tests. Similarly, if a store wants to determine the average amount customers spend per visit, they would sum the total spending and divide by the number of customers. Understanding how to calculate the mean helps in making informed decisions based on data.
To find the mean of the data set 16, 23, 24, 29, 12, 24, 25, 18, 22, 19, and 19, we first calculate the total sum, which is 231. We then divide this sum by the number of data points, 11, yielding a mean of 21. Thus, the mean of the data set is 21.
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