Answer:
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Step-by-step explanation:
To find the value of \( x \) in the sequence \( 40, 55, x, 110 \) given that the median is 61, let's arrange the numbers in ascending order:
\[ 40, 55, x, 110 \]
The median is the middle value of the sequence. Since the sequence has four numbers, the median will be the average of the two middle numbers if \( x \) is between 55 and 110.
So, if \( x \) is between 55 and 110, the sequence would be:
\[ 40, 55, x, 110 \]
Since the median is 61, we have:
\[ \frac{55 + x}{2} = 61 \]
\[ 55 + x = 2 \times 61 \]
\[ 55 + x = 122 \]
\[ x = 122 - 55 \]
\[ x = 67 \]
Therefore, if \( x \) is between 55 and 110, then \( x = 67 \).
Answer:
value of x is 67
Step-by-step explanation:
The median is the middle value in a set of numbers when the numbers are arranged in order from least to greatest. In this case, the numbers are 40, 55, x, and 110. To find the median, we can first arrange the numbers in order: 40, 55, x, 110
Since there are an even number of values, the median is the average of the two middle values. In this case, the two middle values are 55 and x. Therefore, the median is: (55 + x) / 2 = 61 Solving for x, we get: 55 + x = 122
x = 122 - 55
x = 67
Therefore, the value of x is 67.
Another way to solve this problem is to use the fact that the median is the middle value. Since the median is 61, we know that x must be greater than 55 and less than 110. The only value that satisfies this condition is 67.
Therefore, the value of x is 67.
