2MOIT23UO YOU noite 2.4 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 Mean, Standard Deviation, 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. flube. is and 68% Rule Using the AVS as a continuous scale, scores for level of adher- ence to Asian values can range from 36 to 252; those with lower Asian Values scores demonstrate a lower adherence to Asian values, whereas those with higher scores demonstrate a higher adherence. Fifty-two youths were interested in participating in the study, revodenisAs and 31 youths completed the entire study. The most common reasons for nonparticipation were the time commitment and lack STATISTICAL GUIDE of interest. AVS scores for the study population ranged from 109 to 206; the The amount of variability in a distribution is a very important feature of mean score was 155.1 (+SD 20.7), and the median score was 152. a distribution. It's so important, in fact, that it has multiple names, like To review mean and For boys, the mean score was 152.7 (+SD 17.6), with a range of dispersion or spread. The standard deviation (SD) is a yardstick for meas- median, see 109 to 176 and a median score of 154.5. For girls, the mean score uring variability in a distribution. If the standard deviation is small, the To review Exercise 2.1. was 158.3 (+SD 24.7), with a range of 127 to 206 and a median scores in a distribution will mostly huddle close to the mean. If the stand- range , see of 151. ard deviation is large, the scores in a distribution will be more widely To review Exercise 2.2 dispersed from the mean. In fact, you can think of the standard deviation normal as the average amount scores differ, or deviate, from the mean. distribution, In a normal distribution (i.e., a type of symmetrical, bell-shaped distribu- see Exercise STUDY QUESTIONS tion), 34% of cases are within one standard deviation above the mean and 3 .8 . 34% are within one standard deviation below the mean. For instance, if Factual Questions the mean equals 50.00 for a normal distribution and one standard devia- 1. In the excerpt, the mean is scores between 155.1 and tion unit equals 10.00, then 34% of the cases lie between 40.00 and reported as a measure of 175.8? 50.00, and 34% lie between 50.00 and 60.00. Thus, 68% of the cases central tendency. What other 5. Assuming that the distribu- lie within 10 points of the mean (i.e., 68% lie between 40.00 and 60.00). measure of central tendency is tion of boys' scores is normal, EXCERPT FROM THE RESEARCH ARTICLE also reported? what percentage of boys had 2. Which two statistics in the scores between 135.1 and excerpt are measures of the 152.7? variability in the scores? 6. Based on the standard devia- This study was conducted at a Chinese community center in a southwestern city of the United States .. . 3. Assuming that the distribu- tions, do boys or girls have A convenience sample of youths aged 14 to 18 years old was tion of scores for the study greater variability in their scores? recruited via posters and word of mouth at the center's after-school population is normal, what 7. Assuming that the distribution percentage of participants had of scores is normal, the mid- students. volunteer program and Chinese-language school for high school scores between 134.4 and dle 68% of boys had scores The AVS [Asian Values Scale] uses a modified Likert-type 175.8? between what two values? scale in which 1 =strongly disagree, 2 = moderately disagree, 4. Assuming that the distribu- 8. Assuming that the distribution 3 = mildly disagree, 4= neither agree nor disagree, 5=mildly tion of scores for the study of scores is normal, the mid population is normal, what dle 68% of girls had scores 34 percentage of participants had between what two values? 35