7 from unit 1, lesson 10 the dot plot displays the number of hits a baseball team made in several games. the…

7 from unit 1, lesson 10 the dot plot displays the number of hits a baseball team made in several games. the distribution is skewed to the left. if the game with 3 hits is considered to be recorded in error, it might be removed from the data set. if that happens: a. what happens to the mean of the data set? b. what happens to the median of the data set? 8 from unit 1, lesson 11 a set of data has mad 0 and one of the data values is 14. what can you say about the data values? learning targets + i can explain the meaning of the term “constraints.” + i can tell which quantities in a situation can vary and which ones cannot. + i can use letters and numbers to write expressions representing the quantities in a situation.

7 from unit 1, lesson 10 the dot plot displays the number of hits a baseball team made in several games. the distribution is skewed to the left. if the game with 3 hits is considered to be recorded in error, it might be removed from the data set. if that happens: a. what happens to the mean of the data set? b. what happens to the median of the data set? 8 from unit 1, lesson 11 a set of data has mad 0 and one of the data values is 14. what can you say about the data values? learning targets + i can explain the meaning of the term “constraints.” + i can tell which quantities in a situation can vary and which ones cannot. + i can use letters and numbers to write expressions representing the quantities in a situation.

Answer

Explanation:

Step1: Recall mean and median concepts

Mean is sum of values divided by number of values. Median is middle - value when data is ordered.

Step2: Analyze effect on mean for question 7a

The value 3 is lower than the mean of the original data set. Removing it will increase the sum of remaining values relative to the number of remaining values. So the mean will increase.

Step3: Analyze effect on median for question 7b

Count the number of data - points. Let's assume there are (n) data - points. If (n) is odd, the median is the (\left(\frac{n + 1}{2}\right))-th ordered value. If (n) is even, the median is the average of the (\frac{n}{2})-th and (\left(\frac{n}{2}+1\right))-th ordered values. Since 3 is a low - value outlier, and if (n) is large enough, removing 3 may not change the position of the middle value(s). So the median may stay the same.

Step4: Analyze question 8

The Mean Absolute Deviation (MAD) is 0. MAD is the average of the absolute deviations from the mean. If MAD = 0, all data values are the same. Since one value is 14, all data values are 14.

Answer:

a. The mean will increase. b. The median may stay the same. 8. All data values are 14.