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the signed distance the data value (X) is fro of each chunk (the standard deviation) you a size of the standard deviations (how many s he data value and the mean) - which gives y -Z-o can be used to find the value in the ber of standard deviations). you how far from the mean the data value is nd o is the size of each standard deviation

the signed distance the data value (X) is fro of each chunk (the standard deviation) you a size of the standard deviations (how many s he data value and the mean) - which gives y -Z-o can be used to find the value in the ber of standard deviations). you how far from the mean the data value is nd o is the size of each standard deviation

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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The Z-score tells you the number of standard deviations away from the mean (and in what X-μ ** can be used to find the Z-score for a = direction) a data value is. The formula: Z single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z-o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and o is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A certain population is normally distributed with a mean of 151 and a standard deviation of 12. What is the data value in the population (X) if the Z-score is -5.39 standard deviations?
Transcribed Image Text:The Z-score tells you the number of standard deviations away from the mean (and in what X-μ ** can be used to find the Z-score for a = direction) a data value is. The formula: Z single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z-o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and o is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A certain population is normally distributed with a mean of 151 and a standard deviation of 12. What is the data value in the population (X) if the Z-score is -5.39 standard deviations?
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