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Quiz 2 in Math 225: Statistics Concepts and Applications, Slides of Statistics

A math quiz focused on statistics concepts, including calculating the median, mode, and quartiles of a data set, identifying outliers, and understanding the relationship between the mean and median. It also covers the impact of changing data values on these statistical measures.

Typology: Slides

2021/2022

Uploaded on 09/27/2022

kaijiang
kaijiang 🇺🇸

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Math 225 Quiz 2 Name:_________________
For questions 1-4, consider the following data set: 4 3 6 2 8 8
1. What is the median of the data set?
a. 4
b. 5
c. 2
d. 4.5
2. If I change one of the 8’s in the data set to 18, how would that change the median?
a. The median would be higher
b. The median would be lower
c. The median would remain the same
3. If I change one of the 8’s in the data set to 18, how would that change the mean?
a. The mean would be higher
b. The mean would be lower
c. The mean would remain the same
4. What is the mode of the data set?
a. there is no mode
b. 8
c. 2
5. For the distribution in the picture
a. mean median
b. mean < median
c. mean > median
d. Can’t tell the relationship of the mean and the median without looking at the data.
6. Which one of these is NOT true about the standard deviation?
a. The standard deviation is zero only if the observations are all the same.
b. The standard deviation has the same unit as the data.
c. The standard deviation is used as a measure of spread when the mean is use as the
measure of center.
d. The standard deviation is resistant to outliers.
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Math 225 Quiz 2 Name:_________________

For questions 1-4, consider the following data set: 4 3 6 2 8 8

  1. What is the median of the data set?

a. 4 b. 5 c. 2 d. 4.

  1. If I change one of the 8’s in the data set to 18, how would that change the median? a. The median would be higher b. The median would be lower c. The median would remain the same
  2. If I change one of the 8’s in the data set to 18, how would that change the mean? a. The mean would be higher b. The mean would be lower c. The mean would remain the same
  3. What is the mode of the data set? a. there is no mode b. 8 c. 2
  4. For the distribution in the picture a. mean ≈ median b. mean < median c. mean > median d. Can’t tell the relationship of the mean and the median without looking at the data.
  5. Which one of these is NOT true about the standard deviation? a. The standard deviation is zero only if the observations are all the same. b. The standard deviation has the same unit as the data. c. The standard deviation is used as a measure of spread when the mean is use as the measure of center. d. The standard deviation is resistant to outliers.
  1. What percent of the data lies between the first quartile, Q1, and the Median? a. About 50% b. About 25% c. About 75% d. Can’t tell without looking at the data.

For questions 8-14 consider the following situation: Students in an Introductory Statistics were presented with a page containing 30 colored rectangles. Their task was to name the colors as quickly as possible, and their times (in seconds) were recorded. We'll compare the times for the 16 men and 31 women who participated in the experiment by making separate box plots for each gender.

For questions 8-14decide if the statement true or false.

  1. T F The first quartile of the times for men is about the same as the median of the times for women.
  2. T F The range of time men needed to name the colors is about 30 seconds.
  3. T F About 4 men needed 25 -30 seconds to name the colors.
  4. T F About 75% of the women named the colors in 12-20 seconds.
  5. T F The variability in times is less for the women.
  6. T F The distribution of times for men seems to be fairly symmetric.
  7. T F The interquartile range of the times for the women is about 3 seconds.
  8. Given the following data set: 1 14 15 16 17 18 19 21 25 33 41 According to the 1.5(IQR) rule, a. the only outlier is 1. b. the only outlier is 41. c. the only outliers are 1 and 41. d. there are no outliers.