the original data set of 15 numbers, representing the total number of pages in books found in your home library
an explanation of the most appropriate graph or display for the data set
the measures of central tendency
the measures of variability
an explanation of whether the data set is a random example
the best fit graph or display drawn accurately and drawn to be misleadingData Set: Number of Pages in the Selected Books
Book
1
Book
2
Book
3
Book
4
Book
5
Book
6
Book
7
Book
8
Book
9
Book
10
Book
11
Book
12
Book
13
Book
14
Book
15
A data set of 15 numbers representing the total number of pages in books found in a home library can be displayed using a histogram or a box plot. The histogram will show the frequency distribution of the number of pages, while the box plot will give a visual representation of the central tendency and variability of the data.
Measures of central tendency include mean, median, and mode. The mean is the sum of all values divided by the number of values (in this case, the total number of pages divided by 15). The median is the middle value when the data set is arranged in order. The mode is the value that appears most frequently in the data set.
Measures of variability include range, variance, and standard deviation. The range is the difference between the highest and lowest values in the data set. Variance is a measure of how far the data set is spread out from the mean. Standard deviation is the square root of the variance.
The data set is not specified as random or non-random, so it is unclear whether it is a random sample.
The best fit graph or display depends on the nature of the data set and the questions being asked. If the goal is to compare the number of pages in different books, a side-by-side box plot can be used. If the goal is to see the distribution of the number of pages, a histogram or density plot is appropriate. However, if the goal is to mislead by making the data appear more or less extreme than it is, a misleading graph or display could be created by altering the scale or axes of a graph, or through other manipulations of the data.