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Chapter 3 - Stat 1
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These set corresponds to chapter 3 of Bluman (2013-11-11). Elementary Statistics: A Step By Step Approach. McGraw-Hill Education. Kindle Edition.
Terms in this set (53)
Boxplot
A graph of a data set obtained by drawing a horizontal line from the minimum data value to Q1, drawing a horizontal line from Q3 to the maximum data
value, and drawing a box whose vertical sides pass through Q1 and Q3 with a vertical line inside the box passing through the median or Q2.
Information Obtained from a Boxplot
Example of a Boxplot Exercise
Chebyshev's Theorem
A theorem that states that the proportion of values from a data set that fall within k standard deviations of the mean will be at least 1 - 1/k2, where k is a number greater than 1.
It helps you find 75% or 88.98% of the range of data the given studied data values.
-Chebyshev's theorem applies to any distribution regardless of its shape.
Coefficient of Variation
A measure of the variation of the dependent variable that is explained by the regression line and the independent variable; the ratio of the explained variation to the total variation.
-denoted by CVar, is the standard deviation divided by the mean. The result is expressed as a percentage.
Data Array
A data set that has been ordered.
Decile
A location measure of a data value; it divides the distribution into 10 groups.
Empirical Rule
A rule that states that when a distribution is bell-shaped (normal), approximately 68% of the data values will fall within 1 standard deviation of the mean; approximately 95% of the data values will fall within 2 standard deviations of the mean; and approximately 99.7% of the data values will fall within 3 standard deviations of the mean.
∑X
Means to find the sum of the X values in the data set.
Exploratory Data Analysis (EDA)
The act of analyzing data to determine what information can be obtained by using stem and leaf plots, medians, interquartile ranges, and box-plots.
- The purpose of exploratory data analysis is to examine data to find out what information can be discovered about the data, such as the center and the spread.
Five-Number Summary
Five specific values for a data set that consist of the lowest and highest values, Q1 and Q3, and the median.
Interquartile Range (IQR)
Q3 - Q1 (i.e. the distance between the first and third quartiles)
The relationships among percentiles, deciles, and quartiles.
Mean
The sum of the values, divided by the total number of values. Also known as the arithmetic average.
µ
Ex: The mean of 3, 2, 6, 5, and 4 is?
( 3 + 2 + 6 + 5 + 4 ) / 5 = 4
Median
The midpoint of a data array.
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Use the sign test to test the given alternative hypothesis at the $\alpha$=0.05 level of significance. The median is different from 68. An analysis of the data reveals that there are 45 plus signs and 27 minus signs.
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Julie doesn't think this method accurately predicts how well she did on the final exam. Determine $$ r^2 $$ and use the value you get to argue that her actual score could have been much higher (or much lower) than the predicted value.
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Suppose that Y has a binomial distribution with n = 5 and p = .10. The normal approximation is not particularly good. Why?
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