AssaGNMENT03 mu MEAN AND STANDARD DEVIATION formation Statistical In The standar
ID: 3205326 • Letter: A
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AssaGNMENT03 mu MEAN AND STANDARD DEVIATION formation Statistical In The standard deviation is a yardstick for measuring variability (i.e..differences among participants, subjects, respondents, or cases). synonyms for variability are spread and dispersion. The larger the value of the standard deviation, the greater the variability In a normal distribution (ie.. a type of symmetrical, bell-shaped distribution), about 34% of the cases lie within one standard deviation unit on either side of the mean. For instance, if the mean equals 50.00 for a normal distribution and one standard deviation unit equals 10.00, then 34% of the cases lie between 40.00 and 50.00, and 34% lie between 50.00 and 60.00. Thus, 68% of the cases lie within 10 points ofthe mean (i.e., 68% lie between 40.00 and 60.00). Dating and sexual attitudes in Asian American adolescents Excerpt from the Research Article A convenience sample of youths aged 14 to 18 years old was recruited via posters and word of mouth at the centers after-school volunteer program and Chinese-language school for high school students. The AVS [Asian Values Scale] uses a modified Likert-type scale in which 1- strongly disagree, 2-moderately disagree, 3-mildly disagree, 4-neither agree nor disagree, 5 mildly agree, 6- moderately agree, and 7 strongly agree. Scores were based on responses to 36 statements written at a middle school reading level. The six Asian cultural values themes explored were (1) collectivism, (2) conformity, (3) emotional self-control, (4) family recognition (5) filial piety, and (6) humility. Each statement in the scale reflected one of the above themes. AeeionmentExplanation / Answer
22. The another measure of central tendency is median, which has been reported as 152 for the population AVS score. The median AVS score for boys is 154.5, and median AVS score for girls is 151 respectively.
23. Range and standard deviations are the two measures of variability in the score. For example, the AVS score for the study population ranges from 109 to 206, where, 109 is the lowest score and 206 is the highest one, therefore, R=97. The standard deviation for the study population is 20.7, which means that AVS scores in the category differ from the mean, M=155.1 by around 20.7.
24. Given mean=155.1, and standard deviation=20.7, and lower boundary is 134.4 and 175.8.
Now, by computing, mean-1sd and mean+1sd one gets
155.1-1*20.7=134.4 and 155.1+1*20.7=175.8
According to emperical rule, 68% of the data falls within 1 standard deviations of mean. Therefore, 68% of participants have scores between 134.4 and 175.8.
25. The mean reported is 155.1. It is known that around 34% of data lies within 1 standard deviation on either side of the mean.Therefore, arond 34% of participants have scores between 155.1 and 155.1+20.7=175.8.
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