Answer Histogram b is skewed to the right and box-and-whisker plot a is skewed to the right. Histogram c is skewed to the left and box-and-whisker plot b is skewed to the left. Histogram a is symmetric and box-and-whisker plot c is symmetric. Explanation Given information: Shape of distribution Calculation: If the distribution of data is skewed to the left, the mean is less than the median, which is often less than the mode. (mean < median < mode) If there is an outlier in the data then median best describes the center and variation of the data otherwise mean best describes the center and variation of the data. If the distribution of data is skewed to the right, the mode is often less than the median, which is less than the mean. (mean > median > mode) If there is an outlier in the data then median best describes the center and variation of the data otherwise mean best describes the center and variation of the data. If the distribution of data is symmetric, the mode = the median = the mean Histogram b is skewed to the right and box-and-whisker plot a is skewed to the right. Histogram c is skewed to the left and box-and-whisker plot b is skewed to the left. Histogram a is symmetric and box-and-whisker plot c is symmetric.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 11.3, Problem 22E

To determine

To solve the shape of distribution decide.

Expert Solution & Answer

Answer to Problem 22E

Histogram b is skewed to the right and box-and-whisker plot a is skewed to the right.

Histogram c is skewed to the left and box-and-whisker plot b is skewed to the left.

Histogram a is symmetric and box-and-whisker plot c is symmetric.

Explanation of Solution

Given information: Shape of distribution

Calculation:

If the distribution of data is skewed to the left, the mean is less than the median, which is often less than the mode.

(mean < median < mode)

If there is an outlier in the data then median best describes the center and variation of the data otherwise mean best describes the center and variation of the data.

If the distribution of data is skewed to the right, the mode is often less than the median, which is less than the mean.

(mean > median > mode)

If there is an outlier in the data then median best describes the center and variation of the data otherwise mean best describes the center and variation of the data.

If the distribution of data is symmetric, the mode = the median = the mean

Histogram b is skewed to the right and box-and-whisker plot a is skewed to the right.

Histogram c is skewed to the left and box-and-whisker plot b is skewed to the left.

Histogram a is symmetric and box-and-whisker plot c is symmetric.

Chapter 11.3, Problem 21E

Chapter 11.3, Problem 23E

Chapter 11 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

Ch. 11.1 - Prob. 11E Ch. 11.1 - Prob. 12E Ch. 11.1 - Prob. 13E Ch. 11.1 - Prob. 14E Ch. 11.1 - Prob. 15E Ch. 11.1 - Prob. 16E Ch. 11.1 - Prob. 17E Ch. 11.1 - Prob. 18E Ch. 11.1 - Prob. 19E Ch. 11.1 - Prob. 20E Ch. 11.1 - Prob. 21E Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - Prob. 25E Ch. 11.1 - Prob. 26E Ch. 11.1 - Prob. 27E Ch. 11.1 - Prob. 28E Ch. 11.1 - Prob. 29E Ch. 11.1 - Prob. 30E Ch. 11.1 - Prob. 31E Ch. 11.1 - Prob. 32E Ch. 11.1 - Prob. 33E Ch. 11.1 - Prob. 34E Ch. 11.1 - Prob. 35E Ch. 11.1 - Prob. 36E Ch. 11.1 - Prob. 37E Ch. 11.1 - Prob. 38E Ch. 11.1 - Prob. 39E Ch. 11.1 - Prob. 40E Ch. 11.1 - Prob. 41E Ch. 11.1 - Prob. 42E Ch. 11.1 - Prob. 43E Ch. 11.1 - Prob. 44E Ch. 11.1 - Prob. 45E Ch. 11.1 - Prob. 46E Ch. 11.1 - Prob. 47E Ch. 11.1 - Prob. 48E Ch. 11.1 - Prob. 49E Ch. 11.1 - Prob. 50E Ch. 11.2 - Prob. 1E Ch. 11.2 - Prob. 2E Ch. 11.2 - Prob. 3E Ch. 11.2 - Prob. 4E Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - Prob. 7E Ch. 11.2 - Prob. 8E Ch. 11.2 - Prob. 9E Ch. 11.2 - Prob. 10E Ch. 11.2 - Prob. 11E Ch. 11.2 - Prob. 12E Ch. 11.2 - Prob. 13E Ch. 11.2 - Prob. 14E Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Prob. 18E Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.2 - Prob. 22E Ch. 11.2 - Prob. 23E Ch. 11.2 - Prob. 24E Ch. 11.2 - Prob. 25E Ch. 11.2 - Prob. 26E Ch. 11.2 - Prob. 27E Ch. 11.2 - Prob. 28E Ch. 11.2 - Prob. 29E Ch. 11.2 - Prob. 30E Ch. 11.2 - Prob. 31E Ch. 11.2 - Prob. 32E Ch. 11.2 - Prob. 33E Ch. 11.2 - Prob. 34E Ch. 11.2 - Prob. 35E Ch. 11.2 - Prob. 36E Ch. 11.2 - Prob. 37E Ch. 11.2 - Prob. 38E Ch. 11.2 - Prob. 39E Ch. 11.2 - Prob. 40E Ch. 11.2 - Prob. 41E Ch. 11.2 - Prob. 42E Ch. 11.2 - Prob. 43E Ch. 11.2 - Prob. 44E Ch. 11.2 - Prob. 45E Ch. 11.2 - Prob. 46E Ch. 11.2 - Prob. 47E Ch. 11.2 - Prob. 48E Ch. 11.2 - Prob. 49E Ch. 11.2 - Prob. 1Q Ch. 11.2 - Prob. 2Q Ch. 11.2 - Prob. 3Q Ch. 11.2 - Prob. 4Q Ch. 11.2 - Prob. 5Q Ch. 11.2 - Prob. 6Q Ch. 11.2 - Prob. 7Q Ch. 11.2 - Prob. 8Q Ch. 11.2 - Prob. 9Q Ch. 11.2 - Prob. 10Q Ch. 11.2 - Prob. 11Q Ch. 11.2 - Prob. 12Q Ch. 11.2 - Prob. 13Q Ch. 11.2 - Prob. 14Q Ch. 11.2 - Prob. 15Q Ch. 11.2 - Prob. 16Q Ch. 11.2 - Prob. 17Q Ch. 11.2 - Prob. 18Q Ch. 11.2 - Prob. 19Q Ch. 11.3 - Prob. 1E Ch. 11.3 - Prob. 2E Ch. 11.3 - Prob. 3E Ch. 11.3 - Prob. 4E Ch. 11.3 - Prob. 5E Ch. 11.3 - Prob. 6E Ch. 11.3 - Prob. 7E Ch. 11.3 - Prob. 8E Ch. 11.3 - Prob. 9E Ch. 11.3 - Prob. 10E Ch. 11.3 - Prob. 11E Ch. 11.3 - Prob. 12E Ch. 11.3 - Prob. 13E Ch. 11.3 - Prob. 14E Ch. 11.3 - Prob. 15E Ch. 11.3 - Prob. 16E Ch. 11.3 - Prob. 17E Ch. 11.3 - Prob. 18E Ch. 11.3 - Prob. 19E Ch. 11.3 - Prob. 20E Ch. 11.3 - Prob. 21E Ch. 11.3 - Prob. 22E Ch. 11.3 - Prob. 23E Ch. 11.3 - Prob. 24E Ch. 11.3 - Prob. 25E Ch. 11.3 - Prob. 26E Ch. 11.3 - Prob. 27E Ch. 11.3 - Prob. 28E Ch. 11.3 - Prob. 29E Ch. 11.3 - Prob. 30E Ch. 11.3 - Prob. 31E Ch. 11.3 - Prob. 32E Ch. 11.3 - Prob. 33E Ch. 11.3 - Prob. 34E Ch. 11.3 - Prob. 35E Ch. 11.3 - Prob. 36E Ch. 11.3 - Prob. 37E Ch. 11.3 - Prob. 38E Ch. 11.3 - Prob. 39E Ch. 11.3 - Prob. 40E Ch. 11.3 - Prob. 41E Ch. 11.4 - Prob. 1E Ch. 11.4 - Prob. 2E Ch. 11.4 - Prob. 3E Ch. 11.4 - Prob. 4E Ch. 11.4 - Prob. 5E Ch. 11.4 - Prob. 6E Ch. 11.4 - Prob. 7E Ch. 11.4 - Prob. 8E Ch. 11.4 - Prob. 9E Ch. 11.4 - Prob. 10E Ch. 11.4 - Prob. 11E Ch. 11.4 - Prob. 12E Ch. 11.4 - Prob. 13E Ch. 11.4 - Prob. 14E Ch. 11.4 - Prob. 15E Ch. 11.4 - Prob. 16E Ch. 11.4 - Prob. 17E Ch. 11.4 - Prob. 18E Ch. 11.4 - Prob. 19E Ch. 11.4 - Prob. 20E Ch. 11.4 - Prob. 21E Ch. 11.4 - Prob. 22E Ch. 11.4 - Prob. 23E Ch. 11.4 - Prob. 24E Ch. 11.4 - Prob. 25E Ch. 11.4 - Prob. 26E Ch. 11.4 - Prob. 27E Ch. 11.4 - Prob. 28E Ch. 11.4 - Prob. 29E Ch. 11.4 - Prob. 30E Ch. 11.4 - Prob. 31E Ch. 11.4 - Prob. 32E Ch. 11.4 - Prob. 33E Ch. 11.4 - Prob. 34E Ch. 11.4 - Prob. 35E Ch. 11.4 - Prob. 36E Ch. 11.4 - Prob. 37E Ch. 11.4 - Prob. 38E Ch. 11.4 - Prob. 39E Ch. 11.4 - Prob. 40E Ch. 11.4 - Prob. 41E Ch. 11.4 - Prob. 42E Ch. 11.4 - Prob. 43E Ch. 11 - Prob. 1CR Ch. 11 - Prob. 2CR Ch. 11 - Prob. 3CR Ch. 11 - Prob. 4CR Ch. 11 - Prob. 5CR Ch. 11 - Prob. 6CR Ch. 11 - Prob. 7CR Ch. 11 - Prob. 8CR Ch. 11 - Prob. 9CR Ch. 11 - Prob. 10CR Ch. 11 - Prob. 11CR Ch. 11 - Prob. 12CR Ch. 11 - Prob. 13CR Ch. 11 - Prob. 14CR Ch. 11 - Prob. 15CR Ch. 11 - Prob. 16CR Ch. 11 - Prob. 17CR Ch. 11 - Prob. 18CR Ch. 11 - Prob. 19CR Ch. 11 - Prob. 20CR Ch. 11 - Prob. 21CR Ch. 11 - Prob. 22CR Ch. 11 - Prob. 23CR Ch. 11 - Prob. 24CR Ch. 11 - Prob. 1CT Ch. 11 - Prob. 2CT Ch. 11 - Prob. 3CT Ch. 11 - Prob. 4CT Ch. 11 - Prob. 5CT Ch. 11 - Prob. 6CT Ch. 11 - Prob. 7CT Ch. 11 - Prob. 8CT Ch. 11 - Prob. 9CT Ch. 11 - Prob. 10CT Ch. 11 - Prob. 11CT Ch. 11 - Prob. 12CT Ch. 11 - Prob. 13CT Ch. 11 - Prob. 14CT Ch. 11 - Prob. 15CT Ch. 11 - Prob. 16CT Ch. 11 - Prob. 17CT Ch. 11 - Prob. 18CT Ch. 11 - Prob. 1CA Ch. 11 - Prob. 2CA Ch. 11 - Prob. 3CA Ch. 11 - Prob. 4CA Ch. 11 - Prob. 5CA Ch. 11 - Prob. 6CA Ch. 11 - Prob. 7CA Ch. 11 - Prob. 8CA Ch. 11 - Prob. 9CA Ch. 11 - Prob. 10CA

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