Measures of central tendency
Mean is the sum of all values divided by the total number of values.
American Indian / Alaska Native (includes Hispanic) =43.275
Asian / Pacific Islander (includes Hispanic) = 38.5125
Black (includes Hispanic) = 70.06875
Hispanic (any race) = 31.49375
White (includes Hispanic) =60.85
Median is the middle number in an ordered data set.
American Indian / Alaska Native (includes Hispanic) =43.85
Asian / Pacific Islander (includes Hispanic) =39.3
Black (includes Hispanic) =71.4
Hispanic (any race) =32.1
White (includes Hispanic) =64.55
Mode is the most frequent value. In a data set with no repeating value, there is no mode.
American Indian / Alaska Native (includes Hispanic) = no mode
Asian / Pacific Islander (includes Hispanic) =36.6
Black (includes Hispanic) =no mode
Hispanic (any race) =34.1
White (includes Hispanic) =65.8
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Measures of Variation
Variance is the average squared difference of values from the mean. Because variance is a squared quantity, there is no intuitive way to compare variance directly to data values or mean.
American Indian / Alaska Native (includes Hispanic) =27.719333
Asian / Pacific Islander (includes Hispanic) =5.6798333
Black (includes Hispanic) =45.428958
Hispanic (any race) =8.3992917
White (includes Hispanic) =26.162
Standard Deviation is a measure of how much data values deviate away from the mean and is given by √Variance.
American Indian / Alaska Native (includes Hispanic) =5.2649
Asian / Pacific Islander (includes Hispanic) =2.3832
Black (includes Hispanic) =6.7401
Hispanic (any race) =2.8982
White (includes Hispanic) =5.1149
Range is the difference between the highest value and the lowest value in a dataset.
American Indian / Alaska Native (includes Hispanic) =19.7
Asian / Pacific Islander (includes Hispanic) =7.8
Black (includes Hispanic) =21.6
Hispanic (any race) =9
White (includes Hispanic) =15.6
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Measures of variation show how data is spread out in a data set. The measures are necessary as the mean, mode or median may not accurately represent the data. For example, averages ignore the impact of inevitable variations that occur within a data set. Variability is lost whenever a single number is used to represent data.
From the data above, the rate of lung and bronchus cancer was highest recorded in the black population, including Hispanics followed closely by whites (including Hispanic) and was lowest in Hispanics, any race. From the sixteen-year study, the highest most repeated value was from the White population (includes Hispanic) whereas American Indian / Alaska Native (includes Hispanic) and Black (includes Hispanic) did not have a repeating value.
