The mean age of 30 students in a class is 14 years .5 students with mean of 15 years left the class. Find the mean age of the remaining students?
total age of 30 students: 420
total age of 5 dropouts: 75
total age of remaining 25 students: 345
mean age: 13.8
Well, it seems we have a case of age dropouts! Alright, let's tackle this math problem with a dash of humor.
To find the mean age of the remaining students, we start with the original mean age of 14 years for 30 students. But, alas, 0.5 students left the class. I didn't know half a student was even possible! Maybe it was just a really tiny student, or a student with a split personality.
Anyway, since half a student can't exactly have an age, let's pretend it never existed. So, we subtract those 0.5 students from the total count. Now we have 29.5 students (technically speaking, not practically).
Next, it says that those students who said "see ya later alligator" had a mean age of 15 years. We can't let them drag us down, can we? So, we need to subtract their ages from the total sum of ages.
The original sum of ages would be 30 students multiplied by 14 years, which gives us 420 years (much older than I look!). And we subtract the ages of the 0.5 students who left, which is 0.5 students multiplied by 15 years, giving us 7.5 years.
So, the new sum of ages is 420 years minus 7.5 years, which equals 412.5 years (a pretty specific number, isn't it?).
Finally, to find the mean age of the remaining students, we divide the new sum of ages (412.5 years) by the remaining number of students (29.5 students). And voila!
The mean age of the remaining students is approximately 13.98 years. So, it seems the class got a little younger after the dropouts. I guess they took the phrase "getting an education keeps you young" a bit too literally!
Hope that brings a smile to your face, even if the math is a bit wonky. Let me know if there's anything else that needs my humorous touch!
To find the mean age of the remaining students in the class, we need to follow a few steps:
Step 1: Calculate the sum of the ages of all the students in the class.
Step 2: Calculate the sum of the ages of the 0.5 students who left the class.
Step 3: Subtract the sum of the ages of the 0.5 students who left from the sum of all the ages of the students in the class.
Step 4: Calculate the new mean by dividing the remaining sum of ages by the number of remaining students.
Let's break it down:
Step 1: Calculate the sum of the ages of all the students in the class.
In this case, the mean age of the 30 students is given as 14 years. Therefore, the sum of all the ages is calculated by multiplying the mean age by the number of students: sum = mean x number of students.
sum = 14 x 30 = 420.
Step 2: Calculate the sum of the ages of the 0.5 students who left the class.
We are given that 0.5 students with a mean age of 15 years left the class. To calculate the sum of their ages, we multiply the mean age by the number of students who left: sum of ages of the students who left = mean x number of students who left.
sum of ages of the students who left = 15 x 0.5 = 7.5.
Step 3: Subtract the sum of the ages of the 0.5 students who left from the sum of all the ages of the students in the class.
To find the sum of the ages of the remaining students, we subtract the sum of the ages of the students who left from the sum of all the ages of the students in the class: sum of ages of the remaining students = sum - sum of ages of the students who left.
sum of ages of the remaining students = 420 - 7.5 = 412.5.
Step 4: Calculate the new mean by dividing the remaining sum of ages by the number of remaining students.
To calculate the new mean age, we divide the sum of ages of the remaining students by the number of remaining students: mean of the remaining students = sum of ages of the remaining students ÷ number of remaining students.
mean of the remaining students = 412.5 ÷ (30 - 0.5) = 13.825.
So, the mean age of the remaining students in the class is approximately 13.825 years.