Sample Exam Questions
Here are a few example questions that contain some math.
1.) A researcher is examining body weight. In her class, the mean body weight is 140 lbs. The Standard deviation is 10lbs. Between what two weights could the research find 68% of her data?
2.) From the information above, between what two points could the researcher find 48% of weights below the average?
3.) On a seven-point Likert scale measuring compliance gaining ability, the mean score was 5.2 with a standard deviation of .4. Between what two scores could you find 68% of the data?
4.) Using the data from the above question, between what two scores could you expect to find 2% of the data above the mean?
5.) In a study, you know the contact rate is 60%, cooperation rate is 40%, and the eligibility rate is 60%. If you know you need 288, what is the estimated response rate?
6.) The contact rate is 10%, cooperation rate is 40%, and the eligibility rate is 80%. If you know you need 1000, what is the estimated response rate?
Answers
1.) 130 & 150
2.) 120 & 140
3.) 4.8 & 5.6
4.) 6.0 & 6.4
5.) 2,000
6.) 31,250
1.) A researcher is examining body weight. In her class, the mean body weight is 140 lbs. The Standard deviation is 10lbs. Between what two weights could the research find 68% of her data?
2.) From the information above, between what two points could the researcher find 48% of weights below the average?
3.) On a seven-point Likert scale measuring compliance gaining ability, the mean score was 5.2 with a standard deviation of .4. Between what two scores could you find 68% of the data?
4.) Using the data from the above question, between what two scores could you expect to find 2% of the data above the mean?
5.) In a study, you know the contact rate is 60%, cooperation rate is 40%, and the eligibility rate is 60%. If you know you need 288, what is the estimated response rate?
6.) The contact rate is 10%, cooperation rate is 40%, and the eligibility rate is 80%. If you know you need 1000, what is the estimated response rate?
Answers
1.) 130 & 150
2.) 120 & 140
3.) 4.8 & 5.6
4.) 6.0 & 6.4
5.) 2,000
6.) 31,250
posted by Dr. Jeffrey Bolt at 6:40 PM
5 Comments:
Thank you so much for posting these...I'm realizing I need to invest more time in understanding the math now. This is helpful.
-Allison Cappel
How is Answer 3; 5 to 5.6. I got 4.8 to 5.6, am i wrong and why? Also on questions 4 the answer i got was 2057, do we round our answers. And for question 5 i got 33333 surveys again do we round down.
repka
I am stumped too! I get one half of the answer but not the other half, as I have indicated below.
2.) From the information above, between what two points could the researcher find 48% of weights below the average?
120 got / don't get this 140
3.) On a seven-point Likert scale measuring compliance gaining ability, the mean score was 5.2 with a standard deviation of .4. Between what two scores could you find 68% of the data?
? 5.0 / got his 5.6
4.) Using the data from the above question, between what two scores could you expect to find 2% of the data above the mean?
got this 6.0 / don't get this 6.4
Stacy R
Wow, my mistake. The correct answer to question 3 is 4.8 and 5.6 Thank you for pointing this out.
For question 4, 2% of the data is between 2 & 3 Sd above the mean. if the mean is 5.2, between the mean and 1 Sd is 5.2 & 5.6 Between 1 Sd and 2 Sd is 5.6 and 6.0. Between 2 and 3 Sd is 6.0 and 6.4
For question 5, .6 x .4 = .24. .24 x .6 = .144. 288/ .144 = 2000.
For question 2, 48% below would be from the mean to 2 Sd away. 140-10-10 = 120. Therefore, 48% fall between 140 and 120. The 140 is the mean.
Remember, the question is asking between what two scores.
People should read this.
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