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5.3 ) 6) These dot plots do not have any numbers or context. For each of the following dot plots: a) Identify the shape of each distribution and whether or not there appear to be any outliers. b) For each plot, determine whether the mean or median would be greater, or if they would be similar. c) Suggest a possible variable that might have such a distribution. (In other words, invent a context that fits the graph.) . .. . . 60 ) ܘ ܘܪܘ ܘܘܘܘ

5.3 ) 6) These dot plots do not have any numbers or context. For each of the following dot plots: a) Identify the shape of each distribution and whether or not there appear to be any outliers. b) For each plot, determine whether the mean or median would be greater, or if they would be similar. c) Suggest a possible variable that might have such a distribution. (In other words, invent a context that fits the graph.) . .. . . 60 ) ܘ ܘܪܘ ܘܘܘܘ

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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### Dot Plot Analysis #### 5.3 6) These dot plots do not have any numbers or context. For each of the following dot plots: a) Identify the shape of each distribution and whether or not there appear to be any outliers. b) For each plot, determine whether the mean or median would be greater, or if they would be similar. c) Suggest a possible variable that might have such a distribution. (In other words, invent a context that fits the graph.) #### Analysis of Dot Plots: **iii)** - **Shape of Distribution:** - The distribution appears to be fairly symmetrical with some clusters. The data points are spread out with no significant peaks or trends, suggesting a relatively uniform distribution. - **Outliers:** - There seems to be a noticeable gap in the distribution towards the left side which indicates the presence of potential outliers. - **Mean vs. Median:** - Since the distribution is relatively symmetrical, the mean and median would likely be similar. - **Possible Variable Context:** - This could represent the scores of students in a class on a particular exam, where most students scored average marks with a few outliers who scored significantly higher or lower than the rest. **iv)** - **Shape of Distribution:** - This distribution is heavily skewed to the right with a larger cluster of data points concentrated on the left side. This indicates that most of the values are on the lower side with fewer higher values. - **Outliers:** - There are some points spread to the far right which could be considered outliers. - **Mean vs. Median:** - Because the distribution is right-skewed, the mean would typically be greater than the median. - **Possible Variable Context:** - This distribution could represent the income levels of individuals in a given population, where most individuals earn lower or average incomes and fewer individuals earn significantly higher incomes. ### Diagrams: **Dot Plot iii:** - The horizontal axis represents different data values. - Each dot represents a data point. Several data points are distributed along the axis with some clustering and no dominant peak. **Dot Plot iv:** - The horizontal axis represents different data values. - Each dot represents a data point. Most of the data points are concentrated on the left side, creating a peak, with values trailing off towards the right, indicating a right-skewed distribution.
Transcribed Image Text:### Dot Plot Analysis #### 5.3 6) These dot plots do not have any numbers or context. For each of the following dot plots: a) Identify the shape of each distribution and whether or not there appear to be any outliers. b) For each plot, determine whether the mean or median would be greater, or if they would be similar. c) Suggest a possible variable that might have such a distribution. (In other words, invent a context that fits the graph.) #### Analysis of Dot Plots: **iii)** - **Shape of Distribution:** - The distribution appears to be fairly symmetrical with some clusters. The data points are spread out with no significant peaks or trends, suggesting a relatively uniform distribution. - **Outliers:** - There seems to be a noticeable gap in the distribution towards the left side which indicates the presence of potential outliers. - **Mean vs. Median:** - Since the distribution is relatively symmetrical, the mean and median would likely be similar. - **Possible Variable Context:** - This could represent the scores of students in a class on a particular exam, where most students scored average marks with a few outliers who scored significantly higher or lower than the rest. **iv)** - **Shape of Distribution:** - This distribution is heavily skewed to the right with a larger cluster of data points concentrated on the left side. This indicates that most of the values are on the lower side with fewer higher values. - **Outliers:** - There are some points spread to the far right which could be considered outliers. - **Mean vs. Median:** - Because the distribution is right-skewed, the mean would typically be greater than the median. - **Possible Variable Context:** - This distribution could represent the income levels of individuals in a given population, where most individuals earn lower or average incomes and fewer individuals earn significantly higher incomes. ### Diagrams: **Dot Plot iii:** - The horizontal axis represents different data values. - Each dot represents a data point. Several data points are distributed along the axis with some clustering and no dominant peak. **Dot Plot iv:** - The horizontal axis represents different data values. - Each dot represents a data point. Most of the data points are concentrated on the left side, creating a peak, with values trailing off towards the right, indicating a right-skewed distribution.
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