. Z-scores:Normally distributed with a mean of 490 and a standard deviation of 43.For each score in the table below, convert the raw score into a corresponding z-score and report the percent of students scoring lower.original scorex-scorePercent scoring lower621 398 586 For a normally distributed sample, the mean is 316.14. What is the mode?For a positively skewed distribution, the mean is 458. What is the maximum possible value for the median? What is the maximum possible value for the mode?What is the most appropriate measure of central tendency to use for nominal scale data?

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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. Z-scores:

Normally distributed with a mean of 490 and a standard deviation of 43.

For each score in the table below, convert the raw score into a corresponding z-score and report the percent of students scoring lower.

original score	x-score	Percent scoring lower
621
398
586

For a normally distributed sample, the mean is 316.14. What is the mode?

For a positively skewed distribution, the mean is 458. What is the maximum possible value for the median? What is the maximum possible value for the mode?

What is the most appropriate measure of central tendency to use for nominal scale data?

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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