What is the mean of the number of newspapers delivered across 5 hours, given the following data?
Number of Newspapers Delivered: 19, 14, 19, 21, 17
Mean = ?
Answer (2)
Add the number of newspapers delivered in each of the 5 hours: 19 + 14 + 19 + 21 + 17 = 90 .
Divide the sum by 5 to find the mean: M e an = 5 90 .
Calculate the mean: M e an = 18 .
The mean number of newspapers delivered across the 5 hours is 18 .
Explanation
Understanding the Problem We are given the number of newspapers delivered across 5 hours: 19, 14, 19, 21, 17. We need to find the mean of these numbers. The mean is the average of a set of numbers. To find the mean, we add up all the numbers and then divide by the number of numbers in the set.
Setting up the Calculation To calculate the mean, we will use the formula: M e an = N u mb er o f v a l u es S u m o f v a l u es In this case, the values are the number of newspapers delivered each hour, and the number of values is 5 (since there are 5 hours).
Calculating the Sum First, we add up the number of newspapers delivered each hour: 19 + 14 + 19 + 21 + 17 = 90 So, the sum of the values is 90.
Calculating the Mean Next, we divide the sum by the number of values (which is 5): M e an = 5 90 = 18 Therefore, the mean number of newspapers delivered across the 5 hours is 18.
Final Answer The mean number of newspapers delivered across the 5 hours is 18.
Examples
Understanding the mean is useful in many real-life situations. For example, if you wanted to know the average temperature over a week, you would add up the temperatures for each day and divide by 7. Similarly, if you wanted to calculate your average grade in a class, you would add up all your scores and divide by the number of assignments. This concept helps in understanding central tendencies in data, making it easier to interpret and make informed decisions.
To find the mean number of newspapers delivered across 5 hours, we first sum the delivered newspapers: 19 + 14 + 19 + 21 + 17 = 90. We then divide this sum by 5, resulting in a mean of 18. Thus, the average number of newspapers delivered is 18.
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