Question

The median for the given set of six ordered data values is 29.5

9 12 25 __ 41 48 What is the missing​ value?

Answer 1

The missing value in the set of ordered data values that provides a median of 29.5 is 34, found through a simple equation based on the property of the median.

Step-by-step explanation:

The median of a set of numbers is the middle value when those numbers are arranged in order. For a set of six numbers, the median will be the average of the third and fourth numbers. Since the given ordered data values are 9, 12, 25, __, 41, 48 and the median is 29.5, the missing value must be combined with 25 to produce a sum that, when divided by 2, equals 29.5.

To find the missing value (x), we set up the equation (25 + x)/2 = 29.5. Solving for x:

Multiply both sides by 2 to get rid of the fraction: 25 + x = 59.

Subtract 25 from both sides: x = 59 - 25.

Therefore, the missing value is 34.

Answer 2

Answer: 34

Step-by-step explanation:

The median is the middle term in the set. If there are an even number of terms in the set, then the median is the average of the two middle terms.

• {9, 12, 25, ?, 41, 48}

• {X, 12, 25, ?, 41, X}

• {X, X, 25, ?, X, X}

The median is the average of 25 and ?, which is 29.5

`(25+?)/(2)=29.5\\\\25+?=59\quad \text{multiplied both sides by 2}\\.\quad ?=34\quad \text{subtracted 25 from both sides}`