Math

QuestionFind the mean of these ages: 18, 18, 18, 18, 18, 19, 19, 19, 20, 22, 22, 23, 23, 23, 24, 25, 26, 26, 29, 33, 64. Round to two decimal places.

Studdy Solution

STEP 1

Assumptions1. The ages of students who seek counseling at the Campus Counseling Center are18,18,18,18,18,19,19,19,20,22,22,23,23,23,24,25,26,26,29,33,64. We are asked to find the mean of these ages, rounded to two decimal places.

STEP 2

The mean (or average) of a set of numbers is calculated by adding up all the numbers and then dividing by the count of numbers.Mean=SumofallnumbersCountofnumbersMean = \frac{Sum\, of\, all\, numbers}{Count\, of\, numbers}

STEP 3

First, let's add up all the ages.
Sumofallages=18+18+18+18+18+19+19+19+20+22+22+23+23+23+24+25+26+26+29+33+64Sum\, of\, all\, ages =18 +18 +18 +18 +18 +19 +19 +19 +20 +22 +22 +23 +23 +23 +24 +25 +26 +26 +29 +33 +64

STEP 4

Calculate the sum of all ages.
Sumofallages=505Sum\, of\, all\, ages =505

STEP 5

Next, count the total number of ages.
There are21 ages in total.

STEP 6

Now, we can calculate the mean by dividing the sum of all ages by the count of ages.
Mean=SumofallagesCountofagesMean = \frac{Sum\, of\, all\, ages}{Count\, of\, ages}

STEP 7

Plug in the values for the sum of all ages and the count of ages to calculate the mean.
Mean=50521Mean = \frac{505}{21}

STEP 8

Calculate the mean.
Mean=24.047619047619047619047619047619Mean =24.047619047619047619047619047619

STEP 9

Finally, round the mean to two decimal places.
Mean=24.05Mean =24.05The mean age of the students who seek counseling at the Campus Counseling Center is24.05.

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