Answer:
b
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
just took the test
Answer: Choice C) No more than 25% of the data for the sets overlap
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Explanation:
It sounds like you are given a visual representation of the box plots. However, for reference, I'm going to post an attached image of the plots so we're both on the same page. See the image below.
Figure 1 and Figure 2 both refer to the same set of boxplots. The only difference is that figure 2 has a blue region from x = 20 to x = 23 to show where the two boxplots overlap.
Since this blue region does not contain a full whisker, and only a fraction of one for each plot, this means that less than 25% of the data is overlapping between the two sets. Recall that the distance from the tip of the whisker to the edge of the boxplot represents 25% of the data exactly. The same can be said if you went from the edge of a box (either Q1 or Q3) to the median.
Are you familiar with z-scores? According to the definition,
(given numerical value) - (mean)
z = ---------------------------------------------
standard deviation
Thus, with the given numerical value equal to 410 and the std. dev. equal to 75, the corresponding z-score is
410-500 -90
z = --------------------- = --------------- = -1.2
75 75
Use a table of z-scores to determine the area under the standard normal curve to the left of z = -1.2. Your result is the probability that a given family chosen at random spends less than $410 per month.