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The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 m and 6500 m. Based on this information, answer the questions given. Find the median height of the mountains.
- a)7850m
- b)7580m
- c)8750m
- d)5780m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
To find the median height, first arrange the heights in ascending order:
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m.
Since there are six values, the median is the average of the 3rd and 4th values:
(7500 + 8200) / 2 = 7850 m.
Most Upvoted Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
Understanding the Median
The median is the middle value in a set of numbers when they are arranged in ascending or descending order. To find the median, we first need to organize the heights of the mountains.
Step 1: Organize the Heights
- The mountain heights given are:
- 8200 m
- 6000 m
- 8600 m
- 7500 m
- 8800 m
- 6500 m
- Arranging in Ascending Order:
- 6000 m
- 6500 m
- 7500 m
- 8200 m
- 8600 m
- 8800 m
Step 2: Finding the Median
- Since there are six mountains (an even number), the median is found by taking the average of the two middle values in the ordered list.
- Middle Values:
- The third and fourth values in the ordered list are:
- 7500 m (3rd value)
- 8200 m (4th value)
- Calculating the Median:
- Median = (7500 m + 8200 m) / 2
- Median = 15700 m / 2
- Median = 7850 m
Conclusion
The median height of the mountains is 7850 m. Therefore, the correct answer is option 'A'.
The median is the middle value in a set of numbers when they are arranged in ascending or descending order. To find the median, we first need to organize the heights of the mountains.
Step 1: Organize the Heights
- The mountain heights given are:
- 8200 m
- 6000 m
- 8600 m
- 7500 m
- 8800 m
- 6500 m
- Arranging in Ascending Order:
- 6000 m
- 6500 m
- 7500 m
- 8200 m
- 8600 m
- 8800 m
Step 2: Finding the Median
- Since there are six mountains (an even number), the median is found by taking the average of the two middle values in the ordered list.
- Middle Values:
- The third and fourth values in the ordered list are:
- 7500 m (3rd value)
- 8200 m (4th value)
- Calculating the Median:
- Median = (7500 m + 8200 m) / 2
- Median = 15700 m / 2
- Median = 7850 m
Conclusion
The median height of the mountains is 7850 m. Therefore, the correct answer is option 'A'.
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The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 m and 6500 m. Based on this information, answer the questions given.Find the median height of the mountains.a)7850m b)7580mc)8750m d)5780mCorrect answer is option 'A'. Can you explain this answer?
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