Assignment: Show all of your work. (13 points total) 1) A study of the effects o
ID: 3068887 • Letter: A
Question
Assignment: Show all of your work. (13 points total) 1) A study of the effects of caffeine asked volunteers to take a memory test 2 hours after drinking soda. Some drank caffeine-free cola, some drank regular cola (with caffeine), and others drank a mixture of the two (getting half the dose of caffeine). The boxplots to the right are for each group's scores. All are drawn using the same scale. a) What are the best measures for the center and Variable spread for the distribution of scores for those who consumed a high amount of caffeine? Why? (3 points) What are the best measures for the center and spread for the distribution of scores for those who consumed no caffeine? Why? (3 points) Low Caffeine High Caffeine b) c) Which distribution will have a mean value that is (1 point) d) Which group has the largest median value? equal to the median value? Why? No Caffeine (1 point) e) Which group has the largest range of scores? 15 20 25 30 (1 point) f) Which group has the largest interquartile range of scores? (1 point)Explanation / Answer
a) Best measure of center is either Mean or Median, because both are the same as it is a symmetrical data , and measure of spread is variance If data available , else IQR.
b) Best measure for center is Median and same for spread is IQR.
c) High caffine will have mean = median as, it is a symmetrical distribution. We detect it as symmetric as the median bar is at the exact middle of the box.
d) Low caffine has largest median value.
e) No caffine has largest range. Because there is a outlier on the right side, which increasses its range in compare to others.
f) High caffine has the largest IQR because the length of the box is most among the 3 box.
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