A variable is normally distributed with mean 20 and standard deviation 7. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 22. b) Find the area to the left of 16. c) Find the area to the right of 17. d) Find the area to the right of 26. e) Find the area between 16 and 27.

A variable is normally distributed with mean 20 and standard deviation 7. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 22. b) Find the area to the left of 16. c) Find the area to the right of 17. d) Find the area to the right of 26. e) Find the area between 16 and 27.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

A variable is normally distributed with mean 20 and standard deviation 7. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.

a) Find the area to the left of 22.
b) Find the area to the left of 16.
c) Find the area to the right of 17.
d) Find the area to the right of 26.
e) Find the area between 16 and 27.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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