Answer :
Let's go through each part of the question step-by-step:
### 7. Mean
To calculate the mean, you add up all the numbers in the dataset and then divide by the number of numbers in the dataset.
The numbers are: 72, 72, 89, 89, 89, 92, 95, and 100.
1. Add them all together:
[tex]\(72 + 72 + 89 + 89 + 89 + 92 + 95 + 100 = 698\)[/tex]
2. There are 8 numbers in total.
3. Divide the sum by the number of numbers:
[tex]\( \frac{698}{8} = 87.25\)[/tex]
So, the mean is 87.25. Therefore, the answer is C. 87.25.
### 8. Median
The median is the middle number in a sorted, ascending, or descending list of numbers. If the list has an even number of observations, the median is the average of the two middle numbers.
For the dataset: 72, 72, 89, 89, 89, 92, 95, 100.
1. Arrange the numbers in order: (already sorted)
72, 72, 89, 89, 89, 92, 95, 100
2. Since there are 8 numbers, it's an even set, so we take the middle two numbers and find their average:
The middle numbers are 89 and 89.
3. Calculate the median:
[tex]\( \frac{89 + 89}{2} = 89\)[/tex]
So, the median is 89. Therefore, the answer is B. 89.
### 9. Mode
The mode is the number that appears most frequently in a dataset.
Looking at the data: 72, 72, 89, 89, 89, 92, 95, 100.
- The number 89 appears 3 times.
- The number 72 appears 2 times.
- Every other number appears only once.
Since 89 appears the most, the mode is 89. Therefore, the answer is B. 89.
Summarizing:
- Mean: C. 87.25
- Median: B. 89
- Mode: B. 89
### 7. Mean
To calculate the mean, you add up all the numbers in the dataset and then divide by the number of numbers in the dataset.
The numbers are: 72, 72, 89, 89, 89, 92, 95, and 100.
1. Add them all together:
[tex]\(72 + 72 + 89 + 89 + 89 + 92 + 95 + 100 = 698\)[/tex]
2. There are 8 numbers in total.
3. Divide the sum by the number of numbers:
[tex]\( \frac{698}{8} = 87.25\)[/tex]
So, the mean is 87.25. Therefore, the answer is C. 87.25.
### 8. Median
The median is the middle number in a sorted, ascending, or descending list of numbers. If the list has an even number of observations, the median is the average of the two middle numbers.
For the dataset: 72, 72, 89, 89, 89, 92, 95, 100.
1. Arrange the numbers in order: (already sorted)
72, 72, 89, 89, 89, 92, 95, 100
2. Since there are 8 numbers, it's an even set, so we take the middle two numbers and find their average:
The middle numbers are 89 and 89.
3. Calculate the median:
[tex]\( \frac{89 + 89}{2} = 89\)[/tex]
So, the median is 89. Therefore, the answer is B. 89.
### 9. Mode
The mode is the number that appears most frequently in a dataset.
Looking at the data: 72, 72, 89, 89, 89, 92, 95, 100.
- The number 89 appears 3 times.
- The number 72 appears 2 times.
- Every other number appears only once.
Since 89 appears the most, the mode is 89. Therefore, the answer is B. 89.
Summarizing:
- Mean: C. 87.25
- Median: B. 89
- Mode: B. 89
