Question

(a) For these data, which measures of central tendency take more than one value? Choose all that apply. Mean Median Mode None of these measures (b) Suppose that the measurement 89 (the largest measurement in the data set) were replaced by 98. Which measures of central tendency would be affected by the change? Choose all that apply. Mean Median Mode None of these measures (c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply. Mean Median Mode None of these measures (d) Which of the following best describes the distribution of the original data? Choose only one. Negatively skewed Positively skewed Roughly symmetrical

          (a) For these data, which measures of central tendency take more than one value? Choose all that apply.
Mean
Median
Mode
None of these measures
(b) Suppose that the measurement 89 (the largest measurement in the data set) were replaced by 98. Which measures of central tendency would be affected by the change? Choose all that apply.
Mean
Median
Mode
None of these measures
(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
Mean
Median
Mode
None of these measures
(d) Which of the following best describes the distribution of the original data? Choose only one.
Negatively skewed
Positively skewed
Roughly symmetrical

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(a) For these data, which measures of central tendency take more than one value? Choose all that apply.
Mean
Median
Mode
None of these measures
(b) Suppose that the measurement 89 (the largest measurement in the data set) were replaced by 98. Which measures of central tendency would be affected by the change? Choose all that apply.
Mean
Median
Mode
None of these measures
(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
Mean
Median
Mode
None of these measures
(d) Which of the following best describes the distribution of the original data? Choose only one.
Negatively skewed
Positively skewed
Roughly symmetrical

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Joanna Quigley

11/23/2022

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(a) For these data, which measures of central tendency take more than one value? Choose all that apply. Mean Median Mode None of these measures (b) Suppose that the measurement 89 (the largest measurement in the data set) were replaced by 98. Which measures of central tendency would be affected by the change? Choose all that apply. Mean Median Mode None of these measures (c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply. Mean Median Mode None of these measures (d) Which of the following best describes the distribution of the original data? Choose only one. Negatively skewed Positively skewed Roughly symmetrical

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00:01 So we have a data set, unknown data set, and we want to know for part a, which measures of centre will take more than one value.

00:09 And it could be the mean, median, modes, none, or some combination.

00:15 So the only possible answer here is modes or none if there's only one mode.

00:20 But the mode is the only measure of centre that can take more than one value.

00:25 So for the mean, you add up to sum all of your data points.

00:31 And you divide by the number of pieces of data.

00:33 This gives you a single value.

00:35 The median is the middle point of data.

00:39 So it's the 50th percent of it.

00:43 Half of the data is below it, half is above it.

00:46 But in the event that you have two candidates, which happens when you have an even number of pieces of data, you go for halfway between them.

00:54 So there's also only one value.

00:56 The mode is the most frequent piece of data.

01:02 And this can be one.

01:03 Multiple values.

01:05 If multiple have the same number of occurrences and it's more than the other values.

01:11 So for example, if i had the data sets one, one, two, two, three, i would have two modes here, one and two.

01:23 Part b.

01:24 So we look at the largest value and we replace it by a different value, a higher value.

01:30 What's going to be affected here? will the modes be affected? unless that was the most frequent piece of data, which i don't think it is? no...

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