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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?
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Verified Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
Arranging the heights in ascending order, we have 6000, 6500, 7500, 8200, 8600, 8800.
∴ Median height
∴ Median height
Most Upvoted Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
Median is the middle value in a set of data when it is arranged in order. To find the median height of the mountains, we need to arrange the heights in ascending order and then find the middle value.
The heights of the mountains are:
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m
Now let's find the median height:
Step 1: Arrange the heights in ascending order:
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m
Step 2: Find the middle value:
Since there are 6 mountains, the middle value will be the average of the two middle numbers.
6000 m, 6500 m, 7500 m, (8200 m, 8600 m), 8800 m
The two middle numbers are 8200 m and 8600 m. To find the average, we add them together and divide by 2:
(8200 m + 8600 m) / 2 = 16800 m / 2 = 8400 m
Therefore, the median height of the mountains is 8400 m.
Since none of the given options match the correct answer, it seems there might be a mistake in the options provided. However, based on the calculations, the correct answer should be 8400 m, not 7850 m.
The heights of the mountains are:
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m
Now let's find the median height:
Step 1: Arrange the heights in ascending order:
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m
Step 2: Find the middle value:
Since there are 6 mountains, the middle value will be the average of the two middle numbers.
6000 m, 6500 m, 7500 m, (8200 m, 8600 m), 8800 m
The two middle numbers are 8200 m and 8600 m. To find the average, we add them together and divide by 2:
(8200 m + 8600 m) / 2 = 16800 m / 2 = 8400 m
Therefore, the median height of the mountains is 8400 m.
Since none of the given options match the correct answer, it seems there might be a mistake in the options provided. However, based on the calculations, the correct answer should be 8400 m, not 7850 m.
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Community Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
All the heights in Acending order:-
6000m, 6500m, 7500m, 8200m, 8600m, 8800
MEDIAN = ( 7500 + 8200 ) ÷ 2
= (15700) ÷ 2
= 7850 ( ans )
6000m, 6500m, 7500m, 8200m, 8600m, 8800
MEDIAN = ( 7500 + 8200 ) ÷ 2
= (15700) ÷ 2
= 7850 ( ans )
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