What is the mean of 73, 63, 71, 69, 70 and 68?
The correct answer and explanation is:
To find the mean of the numbers 73, 63, 71, 69, 70, and 68, follow these steps:
- Add all the numbers together:
73+63+71+69+70+68=41473 + 63 + 71 + 69 + 70 + 68 = 414 - Divide the total by the number of values:
There are 6 numbers in this dataset, so divide 414 by 6.
414÷6=69414 \div 6 = 69
Thus, the mean is 69.
Explanation:
The mean, also known as the average, is calculated by adding up all the numbers in a dataset and then dividing that sum by the total number of values in the dataset. This provides a measure of central tendency that represents the “average” value.
In this case, you are asked to find the mean of six different numbers. First, you sum all the numbers, which gives you 414. Then, divide that sum by 6, because there are six numbers. This results in a mean of 69. The mean is an effective way to summarize a set of values because it gives an overall sense of the dataset. However, it is important to note that the mean can be skewed by outliers. For example, if one of the numbers was significantly higher or lower than the others, it would affect the mean, making it less representative of the central value in the dataset.