Statistical methods 1
Buy Apple Watc… Q moodle.crav… Suunto Ambit3… Amazon.com: G… dimensions of a… My Math Geniu…
1 of 2
Name
MAT 152
Quiz 3.1-3.2
E. Sabat
1. Data Set: {20, 13, 2,12, 15, 19, 25, 33, 2}
Mean Median Mode Maximum Minimum Range Pop. Sample Variance
Standard Size
Deviation
2. Data Set: {10, 15, 15, 20, 20, 30, 35, 36, 40, 44, 48, 50}
Mean Median Mode Maximum Minimum Range Sample Sample Variance
Standard Size
Deviation
3. Determine what the following symbols represent
a. f
b. a
c. u
d. s
Quiz 3.1
E. Sabat
For questions 1-3, calculate the mean, median, and mode.
1. 20, 13, 4, 8, 10 mean = median = mode
2. 20, 14, 15, 15, 15, 16 mean = median = mode
3. 7, 18, 18, 20, 20, 30 mean = median = mode
Based on the mean and median, determine whether the shape of the distribution would be: symmetric (bell-
shape), skewed left, or skewed right.
4. f = 50.2 Median = 75.42
5. ,u = 48.2 Median = 20.21
6.11 = 25.6 Median = 25
7. If the shape of a graph represented “skewed left,” what would be the best measure of central tendency to
describe the “center” of the distribution? EXPLAIN.
8. The number of homework points earned by twelve students in a history class over one term are listed below.
102, 56, 25, 9, 9, 56, 165, 88, 122, 150, 91, 114. Which measure of central tendency would be describe the
center of the distribution? Explain.
Bonus: (+5) A student has scores of 80, 85, 75, 90, and 93. The student wants to have an overall EXACT
average of 96. If the student was given one more score, what would the score need to be in order to have the
3xact average of 96?
MAT 152
Quiz 3.1-3.2
E. Sabat
1. Data Set: {20, 13, 2,12, 15, 19, 25, 33, 2}
Mean Median Mode Maximum Minimum Range Pop. Sample Variance
Standard Size
Deviation
2. Data Set: {10, 15, 15, 20, 20, 30, 35, 36, 40, 44, 48, 50}
Mean Median Mode Maximum Minimum Range Sample Sample Variance
Standard Size
Deviation
3. Determine what the following symbols represent
a. f
b. a
c. u
d. s
1 of 2
Quiz-Empirical Rule, Mean of Grouped Data, and Weighted Mean
MAT 152
E. Sabat
(Each question is worth 6 points)
1.
a. Based on the Empirical Rule, % of the data lie within 1 standard deviation from the
mean.
b. Based on the Empirical Rule, % of the data lie within 2 standard deviations from the
mean.
0. Based on the Empirical Rule, % of the data lie within 3 standard deviations from the
mean.
2. Fill in each bar with the appropriate percentage.
-3cr -2c:r -1cr u 10 20 30
3. Draw the following scenario on a number line with a mean of 36, and a standard deviation of 2.5.
4. In a set of test scores that are distributed in a way to make a bell-shape, a test score of 86 is 3 standard
deviations below the mean. A score of 98 is 1 standard deviation above the mean. What is the mean of
the data?
5. After 1200 students took a standardized test, the mean score was a 78 with a standard deviation of 4.
What percentage of students scored between a 74 and 86.
