Researchers measuring family dysfunction find that there is a mean of 21.50 and

Question

Researchers measuring family dysfunction find that there is a mean of 21.50 and a standard deviation (SD) of 3.50 on a scale that ranges from 1 to 35. Using this information, complete the following figure, labeling the percentages, standard deviations, and scores, and then answer the questions. A. 68.26% of the data are between which two scores on the distribution? B. 95.44% of the data are between which two scores on the distribution? C. What is the percent of scores below +2 SD? D. What is the percent of scores above -1 SD? E. What is the percent of scores between -1 and -2 SD? F. What is the percent of scores above +2 SD? G. What percent of scores are between -1 and +2SD?

Explanation / Answer

A. 68.26% of the data are between which two scores on the distribution?

This is 1 deviation away from mean.

21.50+/-1*3.5 or 10 to 25 are the 2 scores of the dist.

B. 95.44% of the data are between which two scores on the distribution?

This is 2 deviations away from mean.

21.50+/-2*3.5 or 14.5 to 28.5 are the 2 scores of the dist.

C. What is the percent of scores below +2 SD?

that' .5+.9544/2 = .9772

D. What is the percent of scores above -1 SD?

.5+.34 = .84

E. What is the percent of scores between -1 and -2 SD?

area /percent of scores between -1 and -2 SD is (.9544/2 - .68/2) = .135

F. What is the percent of scores above +2 SD?

1-.9544 = .0456

G. What percent of scores are between -1 and +2SD?

.34+.9544/2 = .8172

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