Posted: September 10th, 2021

SOC 3170: Exam 1 Hand Calculations

SOC 3170: Exam 1 Hand Calculations
Worth 57 pts

PLEASE READ ALL INSTRUCTIONS AND QUESTIONS CAREFULLY
• You must show ALL work for ALL Calculations/Diagrams in order to earn full points. Even if the answer is correct, if I don’t see all the steps, you will NOT get full points.

• Diagram all Bell Curves with shading as applicable and any other required items/steps that have been outlined in assignments/PPs/feedback – EVEN if not specifically asked for

• Do NOT round data until then end (if more than 3 decimals, you can round to 3 during calculations). Remember some are rounded to 2 at the end and some keep to 3 – it’s all been discussed. Points deducted in not done correctly

• Full Sentence Summary on ALL Probability/Bell Curve questions

1. Please draw a skewed distribution and label where you would find the mean, median and mode. Is the skew positive or negative? (3 pts)

2. In an office with 7 workers, all entered a weight loss competition among each other. After a few weeks of
dieting, their weight loss (in pounds) were as follows: 5, 7, 3, 0, 2, 4, 3. For this database, please: (total
11.5 pts- show all steps)

1. calculate the measures of central tendency (3 of them).
a. compare the 3 – what does each “say/represent” about the distribution
b. overall, based on the measures, is the data symmetrical or skewed, if is, which direction
c. identify which you believe to be the most appropriate to report and why

2. calculate the measures of dispersion/variability (3 of them). Create & show appropriate table
needed to be used to calculate 2 of them..
a. which measure of variability would be most appropriate to report for this data and why?

3. Given the following information: Mean=40 years & sd = 1.5 years: What is the probability that the next student you meet will be: (show work) (20 pts total)

a. Between 39 & 40
b. Between 38 & 42
c. Between 41 & 44
d. 36 years of age or older
e. 35 years or Younger

4. Given the following Z scores (mean of 4.5 and sd of 1.35), what is the X value? (4 pts total)

a. -1.67 b. 2.15

5. Find the z-score equivalent to an area of given below, would it be a negative or positive z-score (no
calculations involved in these, graphing might help – showing where each are located) (3 pts total)

a. .7190 b. .5000 c. .3597

6. Suppose you have a large well-mixed barrel of 5 black balls, 7 blue balls, and 4 red balls. Compute the probabilities of randomly drawing (with replacement) the following from the barrel (pts deducted if answer isn’t in proper format): (2.5 pts each, total 7.5 pts)

a. p [blue or red]
b. p [red and then red]
c. p [blue or red, then black]
7. Use the data below to complete a Frequency table showing the absolute frequency, relative frequency, and cumulative relative frequency. Then, draw a BARCHART or HISTOGRAM (you need to decide which is most appropriate for the data) that illustrates how 25 students rated local nightlife. Remember appropriate labels and titles (all from week 3 that should be included). Data ranges from 1 being “poor,” 2 being “fair,” 3 being “good” and 4 being “excellent”. Please do NOT put these into Intervals/Grouped Data (8 pts total)

1 3 3 3 2 2 3 4 4 3 1 3 1 4 3 2 1 1 1 4 2 2 3 3 4

7b. After viewing your frequency tables and graphs, how would you, in general, describe the
group’s opinion of the nightlife scene in the Pikes Peak area? (FULL proper Summary with 1
or 2 sentences).

Optional Extra Credit (can do one or both). Partial extra credit will be given if partially correct.

1. We want to know between what two weight loss scores do the middle 60% of participants in a weight loss program loss over a 1 month period. Mean is 12 pounds with a standard deviation of 3. (1.5 pts)

2. First, Identify the Level of Measurement, then 2) Identify which measure(s) of central tendency could we appropriately use for the following data, and 3) calculate those appropriate measures of central tendency? Show ALL steps (1.5 pts)

Social Class: AF
Lower Class (LC) 3
Middle Class (MC) 3
Upper Class (UC) 2

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