Respuesta :
Part 1 : Carlton is using the following data samples to make a claim about the house values in his neighborhood:
House A= $100,000
House B= $600,000
House C=$650,000
House D=$700,000
House E =$900,000
Based on the data, should Carlton use the mean or the median to make an inference about the house values in his neighborhood?
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
Solutions = We know that Option A is an Outlier because 100,000 is a big difference from the other values. Therefore, the mean is inaccurate.
Answer = He should use the median because there is an outlier that affects the mean.
Part 2 : Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Art:
Mean = 68.7
Median=50
Mean Absolute Deviation= 15.4
Science:
Mean= 54.2
Median= 55
Mean Absolute Deviation=7 .9
She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?
Yes, because the mean is larger in the art book
No, because the mean is larger in the art book
Yes, because there is a lot of variability in the art book data
No, because there is a lot of variability in the art book data
Solutions : She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page.
We know that there are a lot pictures, relating to paintings of painters in the art book, whereas into a science book, book there are not many pictures. There are examples but barely any pictures. Therefore the correct answer is the last one.
House A= $100,000
House B= $600,000
House C=$650,000
House D=$700,000
House E =$900,000
Based on the data, should Carlton use the mean or the median to make an inference about the house values in his neighborhood?
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
Solutions = We know that Option A is an Outlier because 100,000 is a big difference from the other values. Therefore, the mean is inaccurate.
Answer = He should use the median because there is an outlier that affects the mean.
Part 2 : Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Art:
Mean = 68.7
Median=50
Mean Absolute Deviation= 15.4
Science:
Mean= 54.2
Median= 55
Mean Absolute Deviation=7 .9
She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?
Yes, because the mean is larger in the art book
No, because the mean is larger in the art book
Yes, because there is a lot of variability in the art book data
No, because there is a lot of variability in the art book data
Solutions : She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page.
We know that there are a lot pictures, relating to paintings of painters in the art book, whereas into a science book, book there are not many pictures. There are examples but barely any pictures. Therefore the correct answer is the last one.
A. He should use the median because there is an outlier that affects the mean.
