We appreciate your visit to Determine the mean median mode and midrange for this collection of class test scores tex begin tabular lllllllll 88 82 97 76 79 92 65. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's go through the calculations step-by-step to determine the mean, median, mode, and midrange for the given set of class test scores.
### Test Scores:
These are the scores we have:
88, 82, 97, 76, 79, 92, 65, 84, 79, 90, 75, 82, 78, 77, 93, 88, 95, 73, 69, 89, 93, 78, 60, 95, 88, 72, 80, 94, 88, 74.
### Mean:
To find the mean, add up all the scores and then divide by the number of scores.
1. Add all the scores: [tex]\( 88 + 82 + 97 + \ldots + 88 + 74 = 2473 \)[/tex]
2. Count the number of scores (n): There are 30 scores.
3. Divide the sum by the number of scores:
[tex]\[
\text{Mean} = \frac{2473}{30} \approx 82.4
\][/tex]
### Median:
The median is the middle value when the scores are arranged in ascending order.
1. Sort the scores: 60, 65, 69, 72, 73, 74, 75, 76, 77, 78, 78, 79, 79, 80, 82, 82, 84, 88, 88, 88, 88, 89, 90, 92, 93, 93, 94, 95, 95, 97.
2. Since there are 30 scores, the median will be the average of the 15th and 16th scores.
3. The 15th and 16th scores are both 82.
[tex]\[
\text{Median} = \frac{82 + 82}{2} = 82
\][/tex]
### Mode:
The mode is the score that appears most frequently.
- From the sorted list, the score 88 appears the most often.
### Midrange:
The midrange is calculated by averaging the highest and lowest scores.
1. The lowest score is 60, and the highest score is 97.
2. Calculate the midrange:
[tex]\[
\text{Midrange} = \frac{60 + 97}{2} = 78.5
\][/tex]
Based on this detailed step-by-step calculation, the correct answer is that the mean is 82.4, median is 82, mode is 88, and midrange is 78.5. Therefore, option D: Mean is 82.4, median is 82, mode is 88, midrange is 78.5 is the best answer.
### Test Scores:
These are the scores we have:
88, 82, 97, 76, 79, 92, 65, 84, 79, 90, 75, 82, 78, 77, 93, 88, 95, 73, 69, 89, 93, 78, 60, 95, 88, 72, 80, 94, 88, 74.
### Mean:
To find the mean, add up all the scores and then divide by the number of scores.
1. Add all the scores: [tex]\( 88 + 82 + 97 + \ldots + 88 + 74 = 2473 \)[/tex]
2. Count the number of scores (n): There are 30 scores.
3. Divide the sum by the number of scores:
[tex]\[
\text{Mean} = \frac{2473}{30} \approx 82.4
\][/tex]
### Median:
The median is the middle value when the scores are arranged in ascending order.
1. Sort the scores: 60, 65, 69, 72, 73, 74, 75, 76, 77, 78, 78, 79, 79, 80, 82, 82, 84, 88, 88, 88, 88, 89, 90, 92, 93, 93, 94, 95, 95, 97.
2. Since there are 30 scores, the median will be the average of the 15th and 16th scores.
3. The 15th and 16th scores are both 82.
[tex]\[
\text{Median} = \frac{82 + 82}{2} = 82
\][/tex]
### Mode:
The mode is the score that appears most frequently.
- From the sorted list, the score 88 appears the most often.
### Midrange:
The midrange is calculated by averaging the highest and lowest scores.
1. The lowest score is 60, and the highest score is 97.
2. Calculate the midrange:
[tex]\[
\text{Midrange} = \frac{60 + 97}{2} = 78.5
\][/tex]
Based on this detailed step-by-step calculation, the correct answer is that the mean is 82.4, median is 82, mode is 88, and midrange is 78.5. Therefore, option D: Mean is 82.4, median is 82, mode is 88, midrange is 78.5 is the best answer.
Thanks for taking the time to read Determine the mean median mode and midrange for this collection of class test scores tex begin tabular lllllllll 88 82 97 76 79 92 65. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
