Distributions and the General Society Survey: The General Social Survey (GSS) is a survey of approximately 2000 adults conducted each year since 1972, for a total of more than 38,000 participants. During several years of the GSS, participants were asked how many close friends they have. The mean for this variable is 7.44 friends, with a standard deviation of 10.98. The median is 5.00 and the mode is 4.00.Are these data for a distribution of scores or a distribution of means? Explain.What do the mean and standard deviation suggest about the shape of the distribution? (Hint: Compare the sizes of the mean and the standard deviation.)What do the three measures of central tendency suggest about the shape of the distribution?Let’s say that these data represent the entire population. Pretend that you randomly selected a person from this population and asked how many close friends she or he had. Would you compare this person to a distribution of scores or to a distribution of means? Explain your answer.Using symbolic notation, calculate the mean and standard error of the distribution of means.What is the likely shape of the distribution of means? Explain your answer.Help with questions with questions 4-6 please! Thank you!

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Description: Distributions and the General Society Survey: The General Social Survey (GSS) is a survey of approximately 2000 adults conducted each year since 1972, for a total of more than 38,000 participants. During several years of the GSS, participants were as

4. It is assumed that the data represent the entire population. If a person is randomly selected…

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Distributions and the General Society Survey: The General Social Survey (GSS) is a survey of approximately 2000 adults conducted each year since 1972, for a total of more than 38,000 participants. During several years of the GSS, participants were asked how many close friends they have. The mean for this variable is 7.44 friends, with a standard deviation of 10.98. The median is 5.00 and the mode is 4.00.

Are these data for a distribution of scores or a distribution of means? Explain.
What do the mean and standard deviation suggest about the shape of the distribution? (Hint: Compare the sizes of the mean and the standard deviation.)
What do the three measures of central tendency suggest about the shape of the distribution?
Let’s say that these data represent the entire population. Pretend that you randomly selected a person from this population and asked how many close friends she or he had. Would you compare this person to a distribution of scores or to a distribution of means? Explain your answer.
Using symbolic notation, calculate the mean and standard error of the distribution of means.
What is the likely shape of the distribution of means? Explain your answer.

Help with questions with questions 4-6 please! Thank you!

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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