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A set of data consists of six numbers: 7, 8, 8, 9, 9 and x. The difference between the modes when x = 9 and x = 8 is
- a)1
- b)4
- c)3
- d)2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A set of data consists of six numbers: 7, 8, 8, 9, 9 and x. The differ...
**Solution:**
To find the difference between the modes when x = 9 and x = 8, we need to determine the modes for both scenarios and then calculate the difference between them.
Given data set: 7, 8, 8, 9, 9, x
**When x = 9:**
In this case, the data set becomes: 7, 8, 8, 9, 9, 9
The modes are the numbers that appear most frequently in the data set. In this case, the modes are 8 and 9, as they both appear twice.
**When x = 8:**
In this case, the data set becomes: 7, 8, 8, 9, 9, 8
The modes are the numbers that appear most frequently in the data set. In this case, the modes are 8 and 9, as they both appear twice.
Therefore, the modes are the same for both scenarios: 8 and 9.
**Calculating the difference between the modes:**
To calculate the difference between the modes, we subtract the smaller mode from the larger mode.
In this case, the smaller mode is 8 and the larger mode is 9.
Difference = 9 - 8 = 1
Therefore, the difference between the modes when x = 9 and x = 8 is 1.
Hence, the correct answer is option A.
To find the difference between the modes when x = 9 and x = 8, we need to determine the modes for both scenarios and then calculate the difference between them.
Given data set: 7, 8, 8, 9, 9, x
**When x = 9:**
In this case, the data set becomes: 7, 8, 8, 9, 9, 9
The modes are the numbers that appear most frequently in the data set. In this case, the modes are 8 and 9, as they both appear twice.
**When x = 8:**
In this case, the data set becomes: 7, 8, 8, 9, 9, 8
The modes are the numbers that appear most frequently in the data set. In this case, the modes are 8 and 9, as they both appear twice.
Therefore, the modes are the same for both scenarios: 8 and 9.
**Calculating the difference between the modes:**
To calculate the difference between the modes, we subtract the smaller mode from the larger mode.
In this case, the smaller mode is 8 and the larger mode is 9.
Difference = 9 - 8 = 1
Therefore, the difference between the modes when x = 9 and x = 8 is 1.
Hence, the correct answer is option A.
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A set of data consists of six numbers: 7, 8, 8, 9, 9 and x. The differ...
It is not the matter of value of x .since modes are 9 and 8 .therefore difference will remain same i.e 1
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A set of data consists of six numbers: 7, 8, 8, 9, 9 and x. The difference between the modes when x = 9 and x = 8 isa)1b)4c)3d)2Correct answer is option 'A'. Can you explain this answer?
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