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Answer :
To solve this problem, we need to determine the mean, median, mode, and midrange of the given set of test scores. Let's break down each step:
1. Mean (Average):
- To find the mean, add up all the test scores and then divide by the total number of scores.
- The total number of scores is 30, as provided.
- Calculate the sum of all the scores, then divide by 30 to find the mean.
2. Median:
- To find the median, arrange all the numbers in ascending order and find the middle number.
- If the total number of scores is odd, the median is the middle number. If even, it is the average of the two middle numbers.
- Our dataset has 30 scores, which is even, so the median will be the average of the 15th and 16th numbers in the ordered list.
3. Mode:
- The mode is the number that appears most frequently in the dataset.
- Look for any number that repeats the most in the list of scores.
4. Midrange:
- The midrange is the average of the highest and lowest numbers in the dataset.
- Identify the maximum and minimum scores from the list, add them together, and divide by 2.
Given these definitions and calculations, the correct answer is option C:
- Mean is 82.4
- Median is 88
- Mode is 82
- Midrange is 78.5
The correct option based on the steps outlined is C.
1. Mean (Average):
- To find the mean, add up all the test scores and then divide by the total number of scores.
- The total number of scores is 30, as provided.
- Calculate the sum of all the scores, then divide by 30 to find the mean.
2. Median:
- To find the median, arrange all the numbers in ascending order and find the middle number.
- If the total number of scores is odd, the median is the middle number. If even, it is the average of the two middle numbers.
- Our dataset has 30 scores, which is even, so the median will be the average of the 15th and 16th numbers in the ordered list.
3. Mode:
- The mode is the number that appears most frequently in the dataset.
- Look for any number that repeats the most in the list of scores.
4. Midrange:
- The midrange is the average of the highest and lowest numbers in the dataset.
- Identify the maximum and minimum scores from the list, add them together, and divide by 2.
Given these definitions and calculations, the correct answer is option C:
- Mean is 82.4
- Median is 88
- Mode is 82
- Midrange is 78.5
The correct option based on the steps outlined is C.
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