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Here is a sample test for statistics:
Section 1: Multiple Choice Questions
1. What is the mean of the following data set: 5, 7, 9, 11, 13?
a) 7
b) 8
c) 9
d) 10
2. Which measure of central tendency is most affected by outliers?
a) Mean
b) Median
c) Mode
d) Range
3. The standard deviation is a measure of:
a) Skewness
b) Variability
c) Central tendency
d) Confidence
Section 2: Short Answer Questions
1. Calculate the median of the following data set: 2, 4, 6, 8, 10.
2. Calculate the range of the following data set: 15, 17, 20, 22, 25.
3. Calculate the standard deviation of the following data set: 10, 12, 15, 18, 20.
Section 3: Problem Solving
1. A class of 30 students took a statistics test. The scores were normally distributed with a mean of 75 and a standard deviation of 10. What percentage of students scored above 85?
Section 4: Application of Concepts
1. A researcher wants to compare the effectiveness of two different teaching methods. She randomly assigns 100 students to two groups, with Group A receiving Method X and Group B receiving Method Y. After the intervention, she measures the test scores of both groups. Identify the independent variable, dependent variable, and control group in this study.
Mock Tests:
1. The mean score on a math test for a class of 30 students is 75, with a standard deviation of 5. Calculate the z-score for a student who scored 80 on the test.
2. A survey was conducted to determine the favorite ice cream flavors of 500 people. The results showed that 40% preferred vanilla, 30% preferred chocolate, and the remaining 30% preferred other flavors. How many people preferred other flavors?
3. A company produces light bulbs, and the average lifespan of the bulbs is 1000 hours with a standard deviation of 100 hours. If the distribution of bulb lifespans is approximately normal, what percentage of bulbs will last between 900 and 1100 hours?
Note: These questions are only for illustrative purposes and may not cover all topics or difficulty levels in statistics.
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