If the mean, median, and mode are all equal for the set {3,4,5,8,x}, what is the value of x?

Answer 1

#x = 5#

1st question to ask would be, " Are the values in order?"

Clearly they can't be because then #x# would have to be equal to 8 in order to have a mode of 8. But while 8 could be the mode, it is not the median.
2nd question " Where must #x# lie?"

The mode will have to be equal to the median. (the middle value).

This would lead to {3,4,5 ,x ,8} #rArr# {3,4,5, 5 ,8}
What about the mean? If #x=5#, the sum of the numbers = 25.
Mean = #25/5 = 5#
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Answer 2

To find the value of ( x ) in the set {3, 4, 5, 8, ( x )}, where the mean, median, and mode are all equal, we can use the fact that the mean, median, and mode of a set with an odd number of elements are all equal to the middle value. Since the median is 5, the mean is also 5. Additionally, since the mode is the most frequently occurring value, and no value repeats in the set, the mode is also 5. Therefore, ( x ) must also be equal to 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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