1.

(08.03)
Magdeline wants to know if the number of words on a page in her computer science book is generally more than the number of words on a page in her math 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.

Book Mean Median Mean Absolute Deviation
Computer science 48.7 40 9.4
Math 34.2 45 1.9

She claims that because the mean number of words on each page in the computer science book is greater than the mean number of words on each page in the math book, the computer science book has more words per page. Based on the data, is this a valid inference? (10 points)

Yes, because there is a lot of variability in the computer science book data
Yes, because the mean is larger in the computer science book
No, because the mean is larger in the computer science book
No, because there is a lot of variability in the computer science book data
2.
(08.03)
Carlton is using the following data samples to make a claim about the house values in his neighborhood:

House Value
A $100,000
B $600,000
C $650,000
D $700,000
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? (10 points)

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.

BTW This is for Buzz Math for Connexus

Oof I failed.

Q1- No, because there is a lot of variability in the computer science book data

Q2- He should use the median because there is an outlier that affects the mean.

1. In order to determine if Magdeline's claim is valid or not, we need to analyze the given data. Magdeline took a random sample of 25 pages from each book and calculated the mean, median, and mean absolute deviation for each book.

The mean is the average value of a set of data and represents the central tendency of the data. In this case, the mean number of words per page in the computer science book is 48.7, while in the math book it is 34.2. From this calculation, it appears that the mean number of words per page is higher in the computer science book.

However, it is important to note that the mean can be influenced by extreme values or outliers. To determine if this is the case, we also need to consider the median, which is the middle value in a set of data when arranged in ascending or descending order. The median number of words per page in the computer science book is 40, while in the math book it is 45.

Additionally, the mean absolute deviation measures the average distance between each data point and the mean. The mean absolute deviation for the computer science book is 9.4, while for the math book it is 1.9.

Based on the data provided, we can see that the median number of words per page in the computer science book (40) is actually lower than the median in the math book (45). This indicates that there are more words on a page in the math book, on average, compared to the computer science book. Therefore, the inference made by Magdeline is not valid.

The correct answer is: No, because the median is larger in the math book.

2. To make an inference about the house values in Carlton's neighborhood, we need to determine whether to use the mean or the median.

The mean is the average value of a set of data and it can be affected by outliers. In this case, the data samples include house values of $100,000, $600,000, $650,000, $700,000, and $900,000. These values range from $100,000 to $900,000, with a significant difference in the last value. The mean would be greatly influenced by this outlier, as it is much higher than the other values.

On the other hand, the median is the middle value in a set of data when arranged in ascending or descending order. In this case, the median value would be $650,000, which is a better indicator of the central tendency of the data, as it is not affected by outliers.

Therefore, the correct answer is: Carlton should use the median because there is an outlier that affects the mean.