Answer: Choice B) I and II only
The mean and median are considered measures of center as they represent the average of a data set. The average basically being a point that collectively speaks for all of the data. For example, if you have a group of basketball players whose heights range from 5'11" to 6'9", then there is no single height to report; however, we can compute the average to get a basic idea of the single height. The interquartile range (IQR) is a measure of variability or spread of the data. The higher the IQR, the more spread out the data is. Recall that 50% of the data is represented by the IQR and that IQR = Q3 - Q1 where Q1 and Q3 are the first and third quartiles respectively. So because the IQR is a measure of spread, it is not considered a center point.
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
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Width = w
length = 11w
Pythagoras theorem
a^2 + b^2 = c^2
Let's say the width is a, the length is b, and the distance between corners (call it d) is c
w^2 + 11w^2 = d^2
Collect like terms,
12w^2 = d^2
Simply
12w = d