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Travka [436]
2 years ago
10

Two datasets arranged in descending order are; {8, x, 4,1} and {9, y, 5,2}. If the medians of

Mathematics
1 answer:
Elden [556K]2 years ago
5 0

Answer:

<h2>1 </h2>

Step-by-step explanation:

A data arranged in descending order is a data arranged from the biggest to the smallest. The medisn of the data sets is the value at the middle of the dataset after rearrangment.

For the dataset {8, x, 4,1}, the median will be x and 4. Since we have two median values, we will take their average as shown

Median(1) = \frac{x+4}{2}... 1

Simialrly for dataset {9, y, 5,2}, the median will be y and 5.

Median(2) = \frac{y+5}{2} ...2

Since the medians of  the two given datasets are equal, we will equate equation 1 and 2 and calculate for y-x as shown;

\frac{x+4}{2} = \frac{y+5}{2}

x+4 = y+5\\x-y = 5-4\\x-y = 1\\y-x = -1

Therefore y-x = -1

(y-x)² = (-1)²

= 1

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