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Chapter 1: Q. 1.1 (page 55)
Based only on the stemplot, would you expect the mean travel time to be less than, about the same as, or larger than the median? Why?
The Travel Time is to be Larger then median
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If a distribution is skewed to the right with no outliers,
(a) mean median. (d) mean > median.
(b) mean median. (e) We can鈥檛 tell without examining the data.
(c) mean median.
The chapter-opening Case Study described research by Teresa Amabile investigating whether external rewards would promote creativity in children鈥檚 artwork. Dr. Amabile conducted another study involving college students, who were divided into two groups using a chance process (like drawing names from a hat). The students in one group were given a list of statements about external reasons
(E) for writing, such as public recognition, making money, or pleasing their parents. Students in the other group were given a list of statements about internal reasons (I) for writing, such as expressing yourself and
enjoying playing with words. Both groups were then instructed to write a poem about laughter.
Each student鈥檚 poem was rated separately by different poets using a creativity scale. The poets鈥� ratings of each student鈥檚 poem were averaged to obtain an overall creativity score.
A dot-plot of the two groups鈥� creativity scores is shown below. Compare the two distributions. What do you conclude about whether external rewards promote creativity?
Feeling sleepy? The first four students to arrive for a first-period statistics class were asked how much sleep (to the nearest hour) they got last night. Their responses were and
(a) Find the standard deviation from its definition. That is, find the deviations of each observation from the mean, square the deviations, then obtain the variance and the standard deviation.
(b) Interpret the value of you obtained in (a).
(c) Do you think it鈥檚 safe to conclude that the mean amount of sleep for all students in this class is close to hours? Why or why not?
Electoral votes To become president of the United States, a candidate does not have to receive a majority of the popular vote. The candidate does have to win a majority of the electoral votes that are cast in the Electoral College. Here is a stemplot of the number of electoral votes for each of the states and the District of Columbia.
(a) Make a boxplot of these data by hand. Be sure to check for outliers.
(b) Which measure of center and spread would you use to summarize the distribution鈥攖he mean and standard deviation or the median and IQR? Justify your answer.
Phone numbers the dot-plot below displays the last digit of phone numbers chosen at random from a phone book. Describe the shape of the distribution. Does this shape make sense to you? Explain.
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