if the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers, what is the value of x ?

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08-11-2022
Mathematics

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if the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers, what is the value of x ?

Answer :

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fahiskt9087 fahiskt9087 · Answer 1 · 2022-11-14T21:26:18-05:00

The value of x when the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers is 9 (Nine).

Median : In data sets having an odd or even number of values, find the median. The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Arithmetic mean : The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Five numbers are x, 7, 2, 16, and 11—are provided.

Average = sum/5 = (x+36)/5

Median = (x+36)/5

The sum of the remaining four numbers is equal to 36/4 = 9

If x = 9, just the average and median will be 9.

middle position in the ascending order

2,7,9,11,16

The Median entry is nine.

Thus, x=9.

Thus, When the median of the five numbers—x, 7, 2, 16, and 11—is equal to the average (arithmetic mean) of the five numbers, the value of x is equal to 9. (Nine).

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Deven88 Deven88 · Answer 2 · 2022-11-17T09:14:16-05:00

Answer:

Step-by-step explanation:

The value of x when the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers is 9 (Nine).

Median : In data sets having an odd or even number of values, find the median. The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Arithmetic mean : The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.