Math  /  Data & Statistics

Question\begin{tabular}{|c|c|} \hline Ages & Number of students \\ \hline \hline 151815-18 & 9 \\ \hline 192219-22 & 7 \\ \hline 232623-26 & 6 \\ \hline 273027-30 & 4 \\ \hline 313431-34 & 2 \\ \hline 353835-38 & 8 \\ \hline \end{tabular}
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 23
Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "\%" after your answer).
Relative Frequency = \square \%

Studdy Solution

STEP 1

What is this asking? Out of all the students, what percentage are between the ages of 23 and 26? Watch out! Don't forget to include *all* the students when calculating the total.

STEP 2

1. Calculate the total number of students.
2. Calculate the relative frequency.

STEP 3

Alright, let's kick things off by finding the total number of students!
We'll add up the number of students in each age range.
So, we've got 99 students aged 15-18, 77 students aged 19-22, 66 students aged 23-26, 44 students aged 27-30, 22 students aged 31-34, and 88 students aged 35-38.
Adding all these up, we get: 9+7+6+4+2+8=369 + 7 + 6 + 4 + 2 + 8 = 36 That's a total of **36** students!

STEP 4

We're interested in the relative frequency of the 23-26 age group.
Looking back at the table, we see there are **6** students in this age range.

STEP 5

To get the relative frequency, we'll divide the number of students in the 23-26 age group by the total number of students.
This gives us: 636\frac{6}{36}

STEP 6

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6.
This gives us: 636=6÷636÷6=16\frac{6}{36} = \frac{6 \div 6}{36 \div 6} = \frac{1}{6}

STEP 7

Now, let's turn this fraction into a percentage by multiplying by 100%: 16100%=1006%=503%\frac{1}{6} \cdot 100\% = \frac{100}{6}\% = \frac{50}{3}\%

STEP 8

Let's convert this to a decimal by dividing 50 by 3: 503%16.666...%\frac{50}{3}\% \approx 16.666...\%

STEP 9

Rounding to one decimal place, we get **16.7%**.

STEP 10

The relative frequency of students aged 23-26 is 16.7%.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord