Exam 4: Measures of Central Tendency: Whats so Average About the Mean

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The mean is the sum of all data values divided by the number of observations.

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True

In a distribution where there is a long tail towards the right side of the mode, which of the following is true?

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D

The median of the data set is defined as…

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A

Which of the following measure(s) are commonly used as "typical" measures of center?

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A researcher has an experiment with three conditions that generates data on the number of calories worth of food a participant puts on their plate. Which of the following can she do with this data?

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In this dataset, one score is missing. However, it is known that the average of the dataset is 60.31. The data values are: 28, 86, 46, 80, 68, 58, 40, 99, 90, 24, 34, 98, X. Find the missing value, X.

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Adolphe Quetelet made which of the following observations about data that permeates the social sciences, even today?

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Below are income data for individuals who participated in a recent study. This data set contains information about the number of hours safe students studied before taking a recent exam. Using this information, answer questions. Income f 100000-109999 9 90000-99999 12 80000-89999 33 70000-79999 21 60000-69999 56 50000-59999 24 40000-49999 19 30000-39999 42 20000-29999 17 10000-19999 6 What is the mean?

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If one data point changes in a dataset, the mean is most likely to change

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A researcher who is examining stress-related hormones has data on indivdiuals' body mass index. Below are the data BMI f 18 4 19 11 20 6 21 24 22 39 23 33 24 35 25 39 26 41 27 36 28 22 29 16 30 19 What is the median body mass index in this sample?

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How many minutes of television do children watch at home? A researcher surveyed parents and asked them to report the number of minutes per day children spend watching tv. The data are below Minutes on TV 55 80 75 90 120 40 30 20 60 40 50 120 80 50 60 40 40 50 70 40 What is the mean?

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Which of the following correctly describes finding the center of a grouped frequency distribution?

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If the mean is less than the median, and the median is less than the mode, the distribution is likely skewed negative

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The mode is the most commonly observed datapoint in a dataset

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The following data represent the number of children people have. Number of Kids 2 1 4 3 3 2 4 1 1 1 2 3 1 4 2 3 2 1 5 1 2 3 1 1 What is the median?

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Of the three forms of central tendency, the median is most sensitive to outliers.

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A trimmed mean is most useful when the data is a normal distribution

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When the data is skewed positive, the mean is expected to be larger than the median and the mode

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A researcher is running an experiment with two conditions. One in which she asks participants to bite into an apple when remembering a list of words to prevent them from rehearsing the words (i.e., saying them aid memory) and another group where they do not bite into an apple. Below are the data showing the number of words participants were able to recall out of 30. Bite f NoBite f 5 11 5 4 6 8 6 5 7 14 7 6 8 12 8 14 9 15 9 13 10 16 10 12 11 5 11 15 12 6 12 8 13 3 13 4 14 2 14 9 15 1 15 2 16 0 16 0 17 0 17 1 What was the mean of each group?

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A research scientist lost a data point out of 100 observations, but luckily has the median. Of the dataset. He asks one of his research assistants to find the missing data point with the remainder 99 observations and the median. Which of the following is true?

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