105 91 82 59 97 72 72 88 81

What is the mode of these scores?
A.46
B.72
C.82
D.83
B?

2.The test scores of 1 students are shown below
95 63 78 86 84 86 91 95 72 93 87 74
What is the median score of the 6 highest grades?
A.86
B.91
C.92
D.93
C?

3.The test scores of 12 students are shown below
95 63 78 86 84 86 91 95 72 95 87 74
What is the mode of the eight lowest scores
A.95
B.86
C.32
D.24
B?

A student has 12 math scores at the end of the six weeks as shown below
95 65 78 86 84 86 91 95 72 95 87 74
What is the average (mean) of the 12 test scores?
A.92 B.91
C.84
D.78
C?

Three of your answers are right. Number

2 is wrong.

2.

The six highest grades are 95, 95, 93, 91, 87

There's 6 you said 5. So would the other highest grade be 86?

I forgot how to count.

Yes. The SIX highest scores are 95, 95, 93, 91, 87, 86. You were right the first time. The median is C, 92.

I should tell you that the few times I taught 7th grade math, I was distressed to find that I was only about 95% correct. Any student who politely corrected me earned extra credit points.

You just earned extra credit points. :-)

To find the mode of a set of numbers, you need to determine which number appears most frequently. Here's how you can find the mode for the first question:

1. Look at the set of numbers: 105 91 82 59 97 72 72 88 81
2. Count the frequency of each number. In this case, we have:
- 105 appears once
- 91 appears once
- 82 appears once
- 59 appears once
- 97 appears once
- 72 appears twice
- 88 appears once
- 81 appears once
3. Identify the number that appears most frequently. In this case, the number 72 appears twice, which is more than any other number.
4. Therefore, the mode of the set of numbers is 72.

So for the first question, the correct answer would be B.72.

Now, let's move on to the second question, which involves finding the median of the six highest grades:

1. Look at the set of numbers: 95 63 78 86 84 86 91 95 72 93 87 74
2. Sort the numbers in ascending order: 63 72 74 78 84 86 86 87 91 93 95 95
3. Find the six highest grades from the sorted list: 91 93 95 95
4. Determine the middle value(s) of the six highest grades. Since we have an even number of values (four values), we take the average of the two middle values: (93 + 95) / 2 = 94.
5. Therefore, the median of the six highest grades is 94.

So for the second question, the correct answer would be D.93.

Moving on to the third question, which involves finding the mode of the eight lowest scores:

1. Look at the set of numbers: 95 63 78 86 84 86 91 95 72 95 87 74
2. Sort the numbers in ascending order: 63 72 74 78 84 86 86 87 91 95 95 95
3. Identify the eight lowest scores: 63 72 74 78 84 86 86 87
4. Count the frequency of each number. In this case, we have:
- 63 appears once
- 72 appears once
- 74 appears once
- 78 appears once
- 84 appears once
- 86 appears twice
- 87 appears once
5. Identify the number that appears most frequently. In this case, the number 86 appears twice, which is more than any other number.
6. Therefore, the mode of the eight lowest scores is 86.

So for the third question, the correct answer would be B.86.

Lastly, let's find the average (mean) of the 12 test scores for the fourth question:

1. Look at the set of numbers: 95 65 78 86 84 86 91 95 72 95 87 74
2. Add up all the numbers: 95 + 65 + 78 + 86 + 84 + 86 + 91 + 95 + 72 + 95 + 87 + 74 = 1008
3. Divide the sum by the total number of scores (12): 1008 / 12 = 84
4. Therefore, the average (mean) of the 12 test scores is 84.

So for the fourth question, the correct answer would be C.84.