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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.
Q. What is the mode of the heights?
Q. What is the mode of the heights?
- a)6000
- b)8800
- c)Does not exist
- d)7500
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
The mode is defined as the value that appears most frequently in a data set. In this case, the data set is the heights of the six mountains: 8200 m, 6000 m, 8600 m, 7500 m, 8800 m, and 6500 m. To determine the mode, we need to identify which height appears most frequently.
Finding the Mode:
- Create a frequency table: Start by listing all the heights and tallying the number of times each height appears.
Heights: 8200, 6000, 8600, 7500, 8800, 6500
Tally: 1 1 1 1 1 1
- Identify the height with the highest frequency: In this case, all the heights appear only once, so there is no height that appears more frequently than the others.
- Conclusion: Since none of the heights appear more frequently than the others, the mode does not exist in this data set.
Therefore, the correct answer is option 'C' - The mode does not exist.
Visual Representation:
Here's a visual representation of the frequency table:
Height | Tally
-------------------
8200 | |
6000 | |
8600 | |
7500 | |
8800 | |
6500 | |
Since there is only one tally mark next to each height, none of the heights appear more frequently than the others. Thus, there is no mode in this data set.
Finding the Mode:
- Create a frequency table: Start by listing all the heights and tallying the number of times each height appears.
Heights: 8200, 6000, 8600, 7500, 8800, 6500
Tally: 1 1 1 1 1 1
- Identify the height with the highest frequency: In this case, all the heights appear only once, so there is no height that appears more frequently than the others.
- Conclusion: Since none of the heights appear more frequently than the others, the mode does not exist in this data set.
Therefore, the correct answer is option 'C' - The mode does not exist.
Visual Representation:
Here's a visual representation of the frequency table:
Height | Tally
-------------------
8200 | |
6000 | |
8600 | |
7500 | |
8800 | |
6500 | |
Since there is only one tally mark next to each height, none of the heights appear more frequently than the others. Thus, there is no mode in this data set.
Community Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
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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.Q. What is the mode of the heights?a)6000b)8800c)Does not existd)7500Correct answer is option 'C'. Can you explain this answer?
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