Concept explainers
(a)
To make: A dotplot to display the given data.
(a)
Answer to Problem 37E
Explanation of Solution
Given:
We have a data on the sleeping hours of the students.
Dot plot is one of the simplest graph that shows each data value as a dot above its location on number line. The dot plot of the given data is as follows:
Conclusion:
Thus, a dotplot is drawn.
(b)
To describe: The overall pattern of the distribution and deviations from that pattern.
(b)
Answer to Problem 37E
Shape: the data is roughly symmetric.
Centre: about 6 hours, because the highest dots are at 6 in the dotplot.
Spread: it is between 3 hours and 11 hours.
Outliers: there do not appear to be deviations from the pattern.
Explanation of Solution
The overall pattern of the distribution can be described by its shape, center, spread and outliers.
Shape: the Dot plot has the peak at
Centre: We can describe centre by finding a value that devides the observations. So that about half take larger values and about half take smaller values. This is called Median of the distribution which is
Spread: The spread of given data is from
Outliers: The values that differ somewhat from the overall pattern. However they do stand clearly apart from the rest of the distribution. We do not have an outlier in the given distribution.
Chapter 1 Solutions
The Practice of Statistics for AP - 4th Edition
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