Question

Question 2(Multiple Choice Worth 3 points)

(14.11)

Given the data set below, what is the effect of removing the outlier 140 from the data set?
{55, 57, 59, 62, 63, 140}

The mean would decrease.
The median would stay the same.
The IQR would decrease.
The median of the upper quartile would stay the same.
Question 3(Multiple Choice Worth 3 points)
(14.11)

Given the data set below, what is the effect of removing the outlier 100 from the data set?
{12, 14, 18, 19, 19, 21, 27, 28, 100}

The mean would increase.
The median would stay the same.
The IQR would increase.
The median of the upper quartile would stay the same.

Answer 1

Question 2:

The mean would decrease,

Mean is calculated by adding all the values from a data set together (I.e. 55+57+59+62+63+140) and than dividing that number by how many values were added; in this case that would be (436/6) which gives us 72.66666.......

If we take the knowledge learned from the explanation above and do the same thing but exclude the value of 140. ((55+57+59+62+63)/5)

which gives us 59.2 as our mean, which is decreased from 72.6666 that it was before.

I however do not know question 3 as I do not fully know IQR, sorry.

Answer 2

Q2. mean [ with 140 in place is] = 436/ 6 = 72 and 2/3rds.

mean [without 140 in place = 296/5 = 59.2

that means the mean would definitely decrease.

will get back to you in a moment.