Name: Ronald D. Jones, Jr.
Directions: This exam uses one dataset collected from a sample of university students. Using the dataset presented in Question #1, answer the following questions. Round to two decimal places for each calculation.
1. Find the mean, median, mode, and range for the following dataset. 123, 100, 111, 124, 132, 154, 132, 160
Mean: 100+111+123+124+132+132+154+160 =129.5 8
Median: 124+132 = 128 2
Mode: =132 (repeated twice) Range: 160-100
=60
2. What is the variance and standard deviation for the above set of numbers in Question #1? Create a table to organize your data and calculations.
Variance: s=404 Standard Deviation: 20.1
CJ 451 Social Statistics Mid-Term Exam Fall 2022
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CJ 451 Social Statistics Mid-Term Exam Fall 2022
3. What does the standard deviation mean in this case? Hint: Describe if the scores are close or spread out from the mean.
Answer: The scores are more spread out from the mean.
4. a.
b. c. d.
5.
With the dataset in Question #1, find each value below, given its distance from the mean. +1 standard deviation from the mean
Answer: 20.1+129.5=149.6
+3 standard deviations from the mean
Answer: 20.1+3(129.5)=408.6
-1 standard deviation from the mean
Answer: 20.1-129.5=-109.4
-2 standard deviations from the mean
Answer: 20.1-2(129.5)=-238.9
Sketch a normal curve for the distribution (Hint: Use the Draw function in Word). Label the normal distribution curve for the mean and standard deviation from Question #1. Then label the x-axis at +1, +2, +3, -1, -2, and -3 deviations from the mean.
Answer:
6. In your words, describe this dataset as you may for a report or research article. Include in your description the mean, median, and standard deviation.
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7.
If the above set of numbers represented the weight of a sample of university females with the height of 5’2”, what inference(s) could you make about the university population of females? Hint: Look up normal B MI for females with the height of 5’2”.
Answer:
