Question1Max. score: 1.00Find x and y so that the ordered data set has a mean of 42 and a median of 35.17 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y
Question
Question1Max. score: 1.00Find x and y so that the ordered data set has a mean of 42 and a median of 35.17 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y
Solution
To find the values of x and y that will result in a mean of 42 and a median of 35, we can follow these steps:
Step 1: Arrange the data set in ascending order: 17, 22, 26, 29, 34, x, 42, 67, 70, y.
Step 2: Calculate the sum of all the numbers in the data set. In this case, the sum is 17 + 22 + 26 + 29 + 34 + x + 42 + 67 + 70 + y.
Step 3: Calculate the number of elements in the data set. In this case, there are 10 elements.
Step 4: Calculate the desired mean by dividing the sum from step 2 by the number of elements from step 3. The equation is (17 + 22 + 26 + 29 + 34 + x + 42 + 67 + 70 + y) / 10 = 42.
Step 5: Simplify the equation and solve for x and y. The equation becomes (290 + x + y) / 10 = 42.
Step 6: Multiply both sides of the equation by 10 to eliminate the fraction. The equation becomes 290 + x + y = 420.
Step 7: Rearrange the equation to solve for x and y. The equation becomes x + y = 420 - 290.
Step 8: Simplify the equation to get x + y = 130.
At this point, we have one equation with two variables (x and y). This means that there are multiple possible solutions for x and y that will satisfy the given conditions. Without any additional information or constraints, we cannot determine the specific values of x and y.
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