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.

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.

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.

i can

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.