Mathematics

Summary And Descriptive Statistics

Mean

The mean value represents the average number of people per 100,000 diagnosed with cancer in the years 2000- 2015. The mean value for the ethnic group of American Indian / Alaska Native (includes Hispanic) is 43.27, the mean value of the Asian / Pacific Islander (includes Hispanic) group is 25.51, and the mean value of the Black (includes Hispanic) group is 70.06. The mean of the Hispanic (any race) group is 31.49, and the mean of the White (includes Hispanic) group is 62.72.

Median

The median or the mid-value for the American Indian / Alaska Native (includes Hispanic) is 43.85, the mean value of the Asian / Pacific Islander (includes Hispanic) group is 38.9, and that of the Black (includes Hispanic) group is 71.4. The mean for Hispanics (any race) is 31.1, and that of Whites (including Hispanics) is 64.55.

Mode

Mode is the commonly observed value of the given data. For the ethnic groups of American Indian / Alaska Native (includes Hispanic) and Black (includes Hispanic), all values are unique, so there is no mode value. The mode for Asian / Pacific Islanders (includes Hispanic) is 36.6, for Hispanic (any race) the mode is 34.1, and for White (includes Hispanic) mode is 65.8.

Standard Deviation

For the given data, standard deviation shows how much the values are dispersed from the mean value. The standard deviation for the American Indian / Alaska Native (includes Hispanic) group is 5.2, and for the Asian / Pacific Islander (includes Hispanic) group, it is 2.38. The standard deviation for the Black (including Hispanic) group is 6.7. The standard deviation of the Hispanic (any race) group is 2.89, and the value for the White (includes Hispanic) group is 5.11.

The lower value of the Asian / Pacific Islander (including Hispanic) group suggests that there is less deviation, and the values are clustered around the mean value. A higher standard deviation value, like that of the Black (including Hispanic) group, shows that the values are more dispersed from the mean value.

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