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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. Which of the following statements is true?
Q. Which of the following statements is true?
- a)The mean height of the mountains is greater than their median height.
- b)The mean height of the mountains is less than their mode.
- c)The median height of the mountains is less than their mode.
- d)The median height of the mountains is greater than their mean height.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
Arranging in ascending order=6000,6500,7500,8200,8600,8800
Median=7500+8200/2=15700/2=7850
Mean=
= 7600
So, median height is greater than mean height.
Median=7500+8200/2=15700/2=7850
Mean=
= 7600So, median height is greater than mean height.
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Most Upvoted Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
The Mean, Median, and Mode:
The mean, median, and mode are measures of central tendency used to describe the distribution or average value of a set of data.
- The mean is calculated by adding up all the values in the data set and dividing by the number of values.
- The median is the middle value when the data set is arranged in ascending or descending order.
- The mode is the value that appears most frequently in the data set.
Calculating the Mean, Median, and Mode:
To determine which statement is true, we need to calculate the mean, median, and mode of the given mountain heights.
- The mountain heights are: 8200 m, 6000 m, 8600 m, 7500 m, 8800 m, and 6500 m.
Mean:
To calculate the mean, we add up all the heights and divide by the total number of mountains.
Mean = (8200 + 6000 + 8600 + 7500 + 8800 + 6500) / 6
Mean = 45600 / 6
Mean = 7600 m
Median:
To calculate the median, we need to arrange the heights in ascending order.
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m
Since there are six mountains, the median is the average of the two middle values:
Median = (7500 m + 8200 m) / 2
Median = 15700 / 2
Median = 7850 m
Mode:
The mode is the value that appears most frequently. In this case, there is no value that appears more than once, so there is no mode.
Comparing the Mean, Median, and Mode:
Now, let's compare the mean, median, and mode to determine which statement is true.
- Statement a) The mean height of the mountains is greater than their median height.
The mean height is 7600 m, and the median height is 7850 m. Therefore, statement a) is false.
- Statement b) The mean height of the mountains is less than their mode.
Since there is no mode, statement b) is false.
- Statement c) The median height of the mountains is less than their mode.
Since there is no mode, statement c) is false.
- Statement d) The median height of the mountains is greater than their mean height.
The median height is 7850 m, and the mean height is 7600 m. Therefore, statement d) is true.
Conclusion:
Based on the calculations, the correct statement is d) The median height of the mountains is greater than their mean height.
The mean, median, and mode are measures of central tendency used to describe the distribution or average value of a set of data.
- The mean is calculated by adding up all the values in the data set and dividing by the number of values.
- The median is the middle value when the data set is arranged in ascending or descending order.
- The mode is the value that appears most frequently in the data set.
Calculating the Mean, Median, and Mode:
To determine which statement is true, we need to calculate the mean, median, and mode of the given mountain heights.
- The mountain heights are: 8200 m, 6000 m, 8600 m, 7500 m, 8800 m, and 6500 m.
Mean:
To calculate the mean, we add up all the heights and divide by the total number of mountains.
Mean = (8200 + 6000 + 8600 + 7500 + 8800 + 6500) / 6
Mean = 45600 / 6
Mean = 7600 m
Median:
To calculate the median, we need to arrange the heights in ascending order.
6000 m, 6500 m, 7500 m, 8200 m, 8600 m, 8800 m
Since there are six mountains, the median is the average of the two middle values:
Median = (7500 m + 8200 m) / 2
Median = 15700 / 2
Median = 7850 m
Mode:
The mode is the value that appears most frequently. In this case, there is no value that appears more than once, so there is no mode.
Comparing the Mean, Median, and Mode:
Now, let's compare the mean, median, and mode to determine which statement is true.
- Statement a) The mean height of the mountains is greater than their median height.
The mean height is 7600 m, and the median height is 7850 m. Therefore, statement a) is false.
- Statement b) The mean height of the mountains is less than their mode.
Since there is no mode, statement b) is false.
- Statement c) The median height of the mountains is less than their mode.
Since there is no mode, statement c) is false.
- Statement d) The median height of the mountains is greater than their mean height.
The median height is 7850 m, and the mean height is 7600 m. Therefore, statement d) is true.
Conclusion:
Based on the calculations, the correct statement is d) The median height of the mountains is greater than their mean height.
Community Answer
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 ...
D
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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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer?
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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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer?.
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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.Which of the following statements is true?a)The mean height of the mountains is greater than their median height.b)The mean height of the mountains is less than their mode.c)The median height of the mountains is less than their mode.d)The median height of the mountains is greater than their mean height.Correct answer is option 'D'. Can you explain this answer?.
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