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The following is a data set of the average weekly number of cups of coffee consumed by employees in an office. Find the mean and median and determine if the mean or median is the better measure of central tendency. 1 , 33 , 6 , 3 , 5 , 9 , 8 , 4 , 9 , 9 , 3 , 9 , 3 , 3 , 5 , 2 Select the correct answer below: Mean = 7 , Median = 5 The median is the better measure of central tendency. Mean = 5 , Median = 7 The mean is the better measure of central tendency. Mean = 5 , Median = 7 The median is the better measure of central tendency. Mean = 7 , Median = 5 The mean is the better measure of central tendency. Feedback Content attribution- Opens a dialog Question 15·1 point



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macaroni31

Answer:

A. Mean = 7, Median = 5, The median is the better measure of central tendency.

Step-by-step explanation:

To make the data easier to manage, let's first order the points from least to greatest:

1, 2, 3, 3, 3, 3, 4, 5, 5, 6, 8, 9, 9, 9, 9, 33

Now, let's find the mean, or average. It is calculated by adding all the values and dividing by the number of data points.

1 + 2 + 3 + 3 + 3 + 3 + 4 + 5 + 5 + 6 + 8 + 9 + 9 + 9 + 9 + 33 = 112

112/16 = 7

So, the mean is 7.

Next, let's find the median, or the middle point. Since we have an even number of values, we will add the two middle points and divide them by two.

The two middle points in this data are 5 and 5, so the median is 5.

In this case, the median is a better indicator of central tendency. This is because there is an outlier that is skewing the data to the right. An outlier is a piece of data that is significantly larger or smaller than the rest of the data. Outliers tend to affect the mean, but medians are less susceptible to being affected by outliers.

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