Each person has taken four tests and has one more test to take.Find the score that each person must make to change the mean or median as shown
Barry has scores of 93,84,86,and75.He wants to raise the mean to 86
Mean = sum of scores/number of scores
(93+84+86+75+x)/5 = 86
Solve for x.
x-14=-3 one step equation
baryy has scores of 93,84,86,and 75. he wants to raise the mean to 86
Barry has scores of 93 84 86 and 75. He wants to raise the mean to 86.
To find the score that Barry needs to make on the fifth test in order to raise the mean to 86, we need to calculate the current mean and determine how much higher his average needs to be.
The mean is the sum of all the scores divided by the number of scores. In this case, Barry has four scores: 93, 84, 86, and 75. To calculate the current mean, add up all the scores and divide by 4:
Mean = (93 + 84 + 86 + 75) / 4
Mean = 338 / 4
Mean = 84.5
Barry's current mean is 84.5. To raise the mean to 86, he needs to increase the sum of his scores by a certain amount.
Let's denote the score Barry needs to make on the fifth test as "x". The new sum of scores will be the sum of the previous scores plus the score on the fifth test:
New sum = (93 + 84 + 86 + 75 + x)
Equation for the new mean:
New mean = (93 + 84 + 86 + 75 + x) / 5
We know that the new mean needs to be 86:
86 = (93 + 84 + 86 + 75 + x) / 5
Multiplying both sides of the equation by 5:
430 = 338 + x
Subtracting 338 from both sides:
92 = x
Therefore, Barry needs to score at least 92 on his fifth test in order to raise the mean to 86.