## The Normal Distribution Common Core Algebra 2 Homework Answers

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1. the weights of four year old boys are normally distributed with a mean of 38 pounds and a standard deviation of 4 pounds. which of the following weights could represent the 90 th percentile for the weight of a four year old according to the normal distribution, the 90 th (1) 47 pounds (3) 43 pounds percentile must lie between 1 and 1.5 standard deviations above the mean: (3) (2) 45 pounds (4) 41 pounds x1 42 and x the lengths of songs on the radio are normally distributed with a mean length of 210 seconds. if only 38.2% of all songs have lengths between 194 and 226 seconds, then which of the following is the mean length of songs on the radio 38.2% represents the amount of a data set that must fall within 0.5 standard deviations of the mean. thus represents one-half of a standard deviation. (2) 7. the heights of professional basketball players are normally distributed with a standard deviation of 5 inches. if only 2.3% of all pro basketball players have heights above 7 feet 5 inches, then which of the following is the mean height of pro basketball players 2.3% represents the amount of a data set greater than 2 standard deviations above the mean. (4) thus represents one-half of a standard deviation.

the mean is the value that divides a distribution into two equal parts, where one half has the same frequency as the other half. the mean of a normal distribution is its median. the mode is the value that divides a distribution into two equal parts that have the same frequency as the remaining part of the distribution. the mode is the value that is most frequently seen in a normal distribution. the standard deviation is a number that measures the spread of the data in a normal distribution. the standard deviation measures how much data values from a normal distribution vary from the mean. 3d9ccd7d82

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