cussion Board 4 – Weighted Average & Geometric Mean

1. Listed below are the number of items sold and the profit associated with it. For clarity purposes, the first column of the chart states the dollar amount (1st amount is negative $5, meaning a loss and the second amount is $0, which is showing as $ -, which represents breakeven) and the second column is the frequency.

A. Using that information what is the weighted average for the Profit of all the sales? (round to the nearest penny)

B. What is the median profit for all the items sold?

2. The following information is from a syllabus for a stats class. Use this information to answer the 2 questions that follow. There are 3 tests that account for 75% (25% each) of your grade and 6 DB’s that account for 25% (all 6 together) of your grade. The Test scores (each out of 100) and DB scores vary as for how much each is worth, listed below are all the scores before Test 3 (Final).

3

Test

0.75

Worth 25% each

75%

Test

6

DB

0.25

Worth 25% for all

25%

DB

100%

Total

Test 1

68

DB 1

6 out of 6

Test 2

74

DB 2

8 out of 10

DB 3

7 out of 8

DB 4

9 out of 10

DB 5

5 out of 8

Test 3

???

DB 6

4 out of 6

Sum

39 out of 48

A. Using this information, what is the students grade going into the last test (for instance, the instructor dies and the current grade they have will be their grade) round to 2 decimal places?

B. Using the information from the course syllabus, what will the student need to get on TEST 3 to get a 78% in the course (round to 2 decimal places)?© Chris O’Byrne 2024

3. Compute the geometric mean (return) and the final balance after 6 years on a $3,500 investment using the following information: (Year 3 is Negative 8% and Year 5 is Negative 4%)

Year

Return

1

10%

2

6%

3

-8%

4

15%

5

-4%

6

12%

3A. What is the average rate of return for this investment over the 6 years? (convert to % and round to 3 decimal places – example 12.063%)

3B. If you invested 3,500 at the beginning, how much would your investment be worth after 6 years (round to the nearest penny (example – $1,607.45)?(© Chris O’Byrne 2024)

4. Tuition in year 1 were $18,000 and after 4 years of growth, tuition were $26,500. What is the average growth rate (geometric mean) over this 4-year period of time? (convert to % and round to 3 decimal places – example 12.063%)

**When doing and showing your work for the PDF – it should be handwritten as if you are figuring out the problem on the exam – it doesn’t need to be typed up – and I prefer that you DON’T type it out and that you hand write it.**

This Discussion Board is Due Friday, July 12th by 11PM.

When you answer the question put the answers in this order and label like this:

1A.

1B.

2A.

2B.

3A.

3B.

4.

Value of Discussion Board = 7 points, (1 point each)

Remember to attach the PDF of your work to your Answer/Response to this Discussion Board.

You will put just the answers in the body of the discussion board and attach the PDF of your work you used to answer these questions.

You do not need to respond to any posts – But you should look at some of your classmate’s answers and their solutions. Be careful and double check your answers before submitting, I will grade the first submission only.

Any outside help such as but not limited to Chegg or Course Hero is expressly forbidden as is group work such as message apps (groupme etc).