AnswersMathematics IIIRepresenting Data

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3

Which of the following is most likely true?

A
The mean is in the interval 1 - 5 , and the median is in the interval 6 - 10 .
B
The mean is in the interval 6 - 10 , and the median is in the interval 1 - 5 .
C
The mean and median are both in the interval 6 - 10 .
D
The mean and median are both in the interval 1 - 5 .
5

Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?

A
The mean is less than the median because the data is skewed to the left.
B
The mean is less than the median because the data is skewed to the right.
C
The mean is greater than the median because the data is skewed to the right.
D
The mean is greater than the median because the data is skewed to the left.
7

The histograms show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?

A
Image with description A bar graph represents the ages of dogs at five different shelters. The horizontal axis lists 0-1 to 8-9 and is labeled as age. The vertical axis lists 0 to 2 and is labeled as the number of dogs. There are 5 bars on the graph. The first bar represents the 0-1 age group of dogs and shows shelter for 2 dogs, the second bar represents the 2-3 age group of dogs and shows shelter for 1 dog, the third bar represents the 4-5 age group of dogs and shows shelter for 2 dogs, the fourth bar represents the 6-7 age group of dogs and shows shelter for 1 dog, and the fifth bar represents the 8-9 age group of dogs and shows shelter for 2 dogs.
B
Image with description A bar graph represents the ages of dogs at five different shelters. The horizontal axis lists 0-1 to 8-9 and is labeled as age. The vertical axis lists 0 to 4 and is labeled as the number of dogs. There are 5 bars on the graph. The first bar represents the 0-1 age group of dogs and shows shelter for 0 dogs, the second bar represents the 2-3 age group of dogs and shows shelter for 1 dog, the third bar represents the 4-5 age group of dogs and shows shelter for 2 dogs, the fourth bar represents the 6-7 age group of dogs and shows shelter for 4 dogs, and the fifth bar represents the 8-9 age group of dogs and shows shelter for 1 dog.
C
Image with description A bar graph represents the ages of dogs at five different shelters. The horizontal axis lists 0-1 to 8-9 and is labeled as age. The vertical axis lists 0 to 4 and is labeled as the number of dogs. There are 5 bars on the graph. The first bar represents the 0-1 age group of dogs and shows shelter for 1 dog, the second bar represents the 2-3 age group of dogs and shows shelter for 4 dogs, the third bar represents the 4-5 age group of dogs and shows shelter for 2 dogs, the fourth bar represents the 6-7 age group of dogs and shows shelter for 0 dogs, and the fifth bar represents the 8-9 age group of dogs and shows shelter for 1 dog.
D
Image with description A bar graph represents the ages of dogs at five different shelters. The horizontal axis lists 0-1 to 8-9 and is labeled as age. The vertical axis lists 0 to 4 and is labeled as the number of dogs. There are 5 bars on the graph. The first bar represents the 0-1 age group of dogs and shows shelter for 0 dogs, the second bar represents the 2-3 age group of dogs and shows shelter for 3 dogs, the third bar represents the 4-5 age group of dogs and shows shelter for 4 dogs, the fourth bar represents the 6-7 age group of dogs and shows shelter for 3 dogs, and the fifth bar represents the 8-9 age group of dogs and shows shelter for 0 dogs.
8

A histogram shows data that is skewed to the right. Which most likely describes the relationship between the mean and the median?

A
The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.
B
The median is greater than the mean. The leftmost values in the data set lower the mean more than the median.
C
The mean is greater than the median. The leftmost values in the data set lower the median more than the mean.
D
The median is greater than the mean. The rightmost values in the data set raise the median more than the mean.

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