elearning.wmich.edu colors on a army map- Goog Assignment 3-SOC-2830-5.. househo
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elearning.wmich.edu colors on a army map- Goog Assignment 3-SOC-2830-5.. households with less than halj the medtan income jor the population of the country as a whole AU Microsoft PowerPoint Online Pre With the calculator on your phone or a hand-held calculator, calculate the 10 deciles scores and the four quartile scores for the data below (be sure to order data from low to high as in Table 3.6 for U.S. States) using the following steps showing all your 1. calculations: a. Identify the percentile that is equal to the decile or quartile you want to calculate (e.g., Di Pio). b. Identify the proportion associated with the percentile in step a (e.g. Pio-.10). c. Multiply the total sample size N by the proportion in step b. If the resulting number is not a whole number, round down to a whole number when the decimal is 4 or lower, round up to a whole number if the decimal is .6 or higher. If th decimal is equal to .5, average the two scores of the cases between which the percentile falls (see the results for Qi in Table 3.6). This is the case (i.e., country) whose score is the percentile score of interest. te the case in step c and mark its score as the percentile score of interest. Write a paragraph about what you find d. Loca e.Explanation / Answer
Once the data is ordered, the following are the deciles and quartiles from 1 to 10 as obtained :
D1 - Iceland - 5.9 - 12%
D2 - Norway - 6.8 - 23%
D3 - Hungary - 7.7 - 31%
D4 - Luxemborg - 8.4 - 42%
D5 - Switzerland - 9.5 - 50%
D6 - Italy - 11.8 - 62%
D7 - Australia - 13.2 - 73%
D8 - Ireland - 13.6 - 81%
D9 - US - 17 - 92%
D10 - Mexico - 18.4 - 100%
Q1 - France - 7 - 27%
Q2 - Switzerland - 9.5 - 50%
Q3 - Portugal - 13.2 - 77%
Q4 - Mexico - 18.4 - 100%
a)
My percentile of interest is D1 = P10
b)
The proportion associated with percentile P10 is 0.1154
c)
Multiplying total sample sizde 26 witht the proportion we get,
26*0.1154 = 3
3 is the serial number for the case whose score is P10 - the percentile fo interest.
d)
Locating the same, serial no 3 (in the list of ordered from low to high) - Iceland has a score 5.9 which is the P10 score - percentile score fo interest.
e)
Percentiles basically give an intuitive idea of the distribution. Here we backtracked our steps to our desired percentile of interest by computing the percentile score emperically.
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