Please answer each question in the exercise below by writing a complete sentence
ID: 2948629 • Letter: P
Question
Please answer each question in the exercise below by writing a complete sentence or sentences in the answer box below. Remember that a complete sentence by definition requires correct sentence structure, spelling, grammar, and punctuation.
Once the Lab closes you will be able to review the Lab and see my answers by clicking the Show Sample Answer tab at the bottom left of this exercise window. I do not expect your answers to match mine word for word, but they should provide the same information.
Any comments or grading information I provide may be viewed by clicking the View Comment tab at the top right of this exercise window.
PLEASE REVIEW SECTION 6A IN YOUR TEXT BEFORE YOU WORK ON THIS EXERCISE.
HERE IS THE EXERCISE:
Remember to write your answers in sentence format as noted above.
Be sure to label your answers with 1, 2, 3, 4 and 5 to match the statement of the exercise.
Round answers to one decimal place if needed. Please be very careful to round correctly, since incorrect rounding on some of the calculated values may cause your answers to some of the other questions to be incorrect.
COMPARING AVERAGES
The following data sets give the Final Exam grades for two Algebra Advanced Placement classes. Use these data sets to answer each question below.
Class A
Class B
88
63
89
83
90
84
90
90
92
92
92
94
95
95
95
98
95
99
100
1. What are the mean, median, and mode for Class A?
What are the mean, median, and mode for Class B?
2. Can the teacher for Class A claim to have the better scoring class based on any of the "average" values for his class? If so, explain how, stating the value which the teacher could use to make this claim.
3. Can the teacher for Class B claim to have the better scoring class based on any of the "average" values for his class? If so, explain how, stating the value which the teacher could use to make this claim.
4. Consider the entire group of 19 students, and find the mean for this combined data set. Next, find the mean of these two values: the Class A mean from #1 above, and the Class B mean from #2 above.
Is the mean grade for the two classes combined equal to the mean of the two class means found individually?
Please explain your answer, giving numerical values for the quantities involved to back up your response.
5. Consider the entire group of 19 students, and find the median for this combined data set. Next, find the median of these two values: the Class A median from #1 above, and the Class B median from #2 above.
Is the median grade for the two classes combined equal to the median of the two class medians found individually?
Please explain your answer, giving numerical values for the quantities involved to back up your response.
Explanation / Answer
Answer 1
Calculation for class A
Mode for class A is 95 because it has highest frequency
Mean = (sum of all data points)/(number of data points) = (88+89+...+95+95)/9 =826/9= 91.78
Median = (n+1)/2 th term because we have odd number data values, i.e. there are 9 data values
here n=9, so we get
Median = (9+1)/2th term = (10/2)th term = 5th term which is 92
so median is 92
Calculation for class B
Mode is NIL because all elements have frequency of 1, so there is no mode
Mean = (sum of all data points)/(number of data points) = (63+83+...+99+100)/10 =898/10= 89.8
Median = {(n/2)th term+((n/2)+1)th term}/2 this formula is used because we have even number of data values
putting n = 10, we get
we get, median = {(10/2)th term+((10/2+1)th term)}/2 = (5th term +6th term)/2 = (92+94)/2 = 93
so,median is 93