[ad_1]
Summary and Descriptive Statistics
Student’s Name
Institution’s Name
Running Head: SUMMARY AND DESCRIPTIVE STATISTICS 1
SUMMARY AND DESCRIPTIVE STATISTICS 5
Summary and Descriptive Statistics
Measures of Central Tendency
The measures of central tendency include the mean, the mode, and the median. They describe the center point of a data set (Aldous, 2016). For this data, we calculate the measures of central tendency for the race/ethnic groups. We use the AVERAGE, MEDIAN, and MODE functions in Excel to calculate the mean, median, and mode, respectively. The following is a summary for the measures:
| American Indian / Alaska Native (includes Hispanic)
|
Asian / Pacific Islander (includes Hispanic)
|
Black (includes Hispanic)
|
Hispanic (any race)
|
White (includes Hispanic)
|
|
| Mean | 43.275
|
38.5125
|
70.06875
|
31.49375
|
62.725
|
| Median | 43.85
|
38.9 | 71.4 | 32.1 | 64.55 |
| Mode | N/A | 36.6 | N/A | 34.1 | 65.8 |
From the table above, the Black (includes Hispanic) has the highest mean rate per 100,000 among the ethnic groups while Hispanic (any race) has the lowest mean rate per 100,000. Similarly, the Black (includes Hispanic) has the highest median rate per 100,000 among the ethnic groups while Hispanic (any race) has the lowest mean rate per 100,000. American Indian / Alaska Native (includes Hispanic) and the Black (includes Hispanic) do not have a mode, while the mode for the Asian / Pacific Islander (includes Hispanic), Hispanic (any race), and White (includes Hispanic) have modes of 36.6, 34.1, and 65.8, respectively.
Measures of Dispersion
They include the variance, the standard deviation, and the range. They measure how the data is spread (Aldous, 2016). In this case we measure the sample values assuming the data is a sample. The following is the summary:
| American Indian / Alaska Native (includes Hispanic)
|
Asian / Pacific Islander (includes Hispanic)
|
Black (includes Hispanic)
|
Hispanic (any race)
|
White (includes Hispanic)
|
|
| Sample Variance | 27.71933333
|
5.679833333
|
45.42895833
|
8.399291667
|
26.162
|
| Sample Standard deviation | 5.264915321
|
2.383240091
|
6.740100766
|
2.898153148
|
5.114880253
|
| Range | 19.7
|
7.8
|
21.6
|
9 | 15.6
|
From the values, Black (includes Hispanic) have the highest variance, standard deviation, and range while Asian / Pacific Islander (includes Hispanic) have the lowest variance, standard deviation, and range of the rates per 100000. This means Blacks (includes Hispanic) have the largest spread of the rates per 100,000 while Asian / Pacific Islander (includes Hispanic) have the smallest spread of the rates per 100,000.
References
Aldous, D.J. (2016). Descriptive Statistics. New Rochelle, N.Y: Magnum Publishing
The post Summary and Descriptive Statistics appeared first on Infinite Essays.
[ad_2]
Source link
