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grin007 [14]
3 years ago
9

Given the data set below, what is the effect of adding an outlier to the highest data point? {50, 55, 57, 58, 58, 61, 65, 67, 68

, 70, 71, 72}
The IQR would increase.
The IQR would decrease.
The IQR would remain the same.
There is not enough information to determine the effect of the outlier.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Adding an outlier would increase n (the number of data points) by 1.

Before that were to happen, the median would be the mean of 61 and 65, or 63.

After that were to happen, the median of the revised data set would be the middle, or 7th, point: 65. So: The IQR would increase.

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Answer:

It's like solving a quadratic, but in reverse, and in this case you'll arrive at x2+x−12=0

Explanation:

We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:

Let's start with the roots:

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