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Chapter 2: Q. 2.1 (page 69)
For the Park City basketball team, scores for the last 30 games were as follows (smallest to largest):
Construct a stem plot for the data.
The stem plot of the data is,
Stem leaf
We may deduce that the distribution is uni-modal and that the modal point is in the 40's interval.
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Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed shoppers. The samples yielded the following information.
a. How can you determine which survey was correct ?
b. Explain what the difference in the results of the surveys implies about the data.
c. If the two histograms depict the distribution of values for each supervisor, which one depicts Ercilia's sample? How do you know?
d. If the two box plots depict the distribution of values for each supervisor, which one depicts Ercilia’s sample? How do you know?
Use the following information to answer the next three exercises: We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.
When the data are skewed left, what is the typical relationship between the mean and median?
Five credit scores are The data set is bimodal because the scores and each occur twice. Consider the annual earnings of workers at a factory. The mode is and occurs times out of The median is and the mean is What would be the best measure of the “center”?
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let = the number of pairs of sneakers owned. The results are as follows:
a. Find the sample mean.
b. Find the sample standard deviation, s
c. Construct a histogram of the data.
d. Complete the columns of the chart.
e. Find the first quartile.
f. Find the median.
g. Find the third quartile.
h. Construct a box plot of the data.
i. What percent of the students owned at least five pairs?
j. Find the percentile.
k. Find the percentile.
l. Construct a line graph of the data.
m. Construct a stemplot of the data.
Given the following box plot, answer the questions
a. Think of an example (in words) where the data might fit into the above box plot. In 2–5 sentences, write down the example.
b. What does it mean to have the first and second quartiles so close together, while the second to third quartiles are far apart?
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