Concept explainers
(a)
To explain:
The data in a histogram using five intervals.
(a)
Explanation of Solution
Given:
Each entry in a two −way table
Concept used:
Bivariate joint frequency distribution are
The total row and total column of the marginal distribution while the body of the table is the joint frequencies
Calculation:
The most data are the five-number summary because the median is closer to either
Standard deviation is the variation from the mean.
Prepare a frequency table with
IQ scores | Frequency |
(b)
To explain:
The measures of center and variation best represent the data in a histogram using five intervals.
(b)
Explanation of Solution
Given:
Each entry in a two −way table
Concept used:
Bivariate joint frequency distribution are contingency table.
The total row and total column of the marginal distribution while the body of the table is the joint frequencies
Calculation:
The most data are the five-number summary because the median is closer to either
Standard deviation is the variation from the mean.
Prepare a frequency table with
IQ scores | Frequency |
The measures of center and variation best represent the data in a histogram.
Because most of the data are on the left and the tail of the graph extends to the right the distribution is skewed right.
Therefore use the median to the center and five-number summary to the variation.
(c)
To explain:
The distribution of IQ scores for the human population is symmetric and shape of the distribution in a histogram using five intervals.
(c)
Explanation of Solution
Given:
Each entry in a two −way table
Concept used:
Bivariate joint frequency distribution are contingency table.
The total row and total column of the marginal distribution while the body of the table is the joint frequencies
Calculation:
The most data are the five-number summary because the median is closer to either
Standard deviation is the variation from the mean.
Prepare a frequency table with
IQ scores | Frequency |
For symmetric distribution :-the mean corresponds to half of the data on
Standard deviation is the variation from the mean.
For skewed distribution :-the median corresponds to most likely lie
The most data are the five-number summary because the median is closer to either
Therefore the shape of the distribution become symmetric.
Chapter 7 Solutions
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