Question

The monthly salary of workers in the public works department is $1,500, $3,000, $3,500, $3,500, $4,000, $4,500, $5,000, $6,000, $6,500, $6,500, and $9,000. Explain the impact of the outlier(s) on the measure of central tendency for this data set.
1.There is a minimal increase to the mean because there is a low outlier and a high outlier in the data set.

2.There is a minimal decrease to the mean because there is a low outlier and a high outlier in the data set.

3.There is a large increase to the mean because of the $9,000 outlier.

4.There is a large decrease to the mean because of the $1,500 outlier.

Answer 1

Answer:

(B)  median because there is an outlier

Step-by-step explanation:

The given data is as follows:

{1, 4, 9, 4, 10, 8, 42}

We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.

Thus, 42 is an outlier.

Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.

Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.

Thus, option B is correct.

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