In this example, the 12th item is the first "4". In this example, you get "12." Count this many items up from the bottom of the list. If there are an even number of items on the list, divide the number by 2. To calculate the median, sort the numbers so they are in increasing numerical order from smallest to highest:ġ, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6,Ĭount the number in the list. Theoretic uncertainty measure, they are the ones you should use. The median and IQR are stronger measures than the mode and the information (IQR) and the information theoretic uncertainty measure for dispersion. You can also use both the Inter Quartile Range For ordinal data you can use both the median and the Since "0" does not mean "no income at all,"and since "2"ĭoes not mean "twice as much income" as "1", the dataĬan't be ratio scaled. Not all the same size, it is not scaled at the interval or ratio level. Levels, this data would be at least ordinal scaled. What are the proper measures of central tendency and dispersion for this data? Calculate their values.īecause the numbers indicate which category individials fall into, andīecause the categories are ordered from the lowest to the highest income Household's income." You then read the following list and record their Ranges, and I want you to stop me when I read the range that describes your "What is your household's annual income? I'm going to read a list of possible Assume the numbers in the data are the answers you get when you ask people The information theoretic uncertainty measure.Ĥ. The only measure of dispersion that can be used for this data is With this data, the only measure that can be used for central tendency is In which the numbers are merely stand-ins for names of categories. This only leaves the nominal level of scaling There is no apparent relation of order between the categories, theĭata isn't even ordinal. The data is not likely to be scaled at the interval or ratio level. Since the numbers stand for categories or types of television programs, What are the proper measures of central tendency and dispersion for this The numbers in the data indicate which category their favorite programs fall
1=science fiction, 2=comedy, 3=romance, 4=adventure, 5=news. You use a system that has seven differentĬlasses (eg. "Name your favorite television program." Then you classify each programĪccording to its thematic content. The strongest measures of central tendency and dispersion for ratio level data are the mean and standard deviation.ģ. Of central tendency and dispersion for this data? Calculate their values.īecause the data would be counts of the number of magazines, it would be ratio scaled data. "How many magazines do you subscribe to?" What are the proper measures Use this set of numbers for the following questions:Ĥ, 3, 5, 4, 1, 2, 5, 4, 3, 4, 1, 2, 4, 3, 5, 2, 3, 5, 7, 6, 4, 1, 2, 4Ģ.Assume the numbers in the data are the answers you get when you ask people The results are shown in the table below. the median is halfway between 5 and 6, which
the median is halfway between 6 and 6, whichįor set d. So the median is halfway between the 5th and 6th items, countingįor set a. The value you landed on and the next value.įor the numbers in set a. If the number of items in a set is even, divide it by 2.
Then count up from theīottom of the list (or down from the top of the list) and the median will Now count this many items up from the bottom. Now if there are an odd number of items in a set, add 1 to how many thereĪre. Count how many numbers there are in each set. To get the median, put all of the numbers in a set in increasing numerical Compute the mode, median, and mean for the following four sets of numbers:
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