Math Problem Statement

A group of students were surveyed about the number of times they went to a movie theater last year. Their responses are summarized in the relative frequency table below.

What is the missing relative frequency?

Number of MoviesRelative Frequency

0−1

0.08

2−3

0.20

4−5

0.30

6−7

8−9

0.10

10 or more

0.08

Solution

To find the missing relative frequency, we need to remember that the sum of all relative frequencies should equal 1.

We can sum the given relative frequencies and subtract the total from 1 to find the missing frequency:

0.08+0.20+0.30+0.10+0.08=0.760.08 + 0.20 + 0.30 + 0.10 + 0.08 = 0.76

Now, subtract this sum from 1:

10.76=0.241 - 0.76 = 0.24

Thus, the missing relative frequency is 0.24.

Would you like more details on relative frequencies or have any other questions?

Here are five related questions for further understanding:

  1. What is a relative frequency table used for?
  2. How do you calculate the total frequency from a relative frequency table?
  3. What is the difference between relative and cumulative frequency?
  4. How can relative frequency be useful in probability?
  5. How would you graph the data from this table?

Tip: Always verify that the sum of relative frequencies equals 1 to ensure the table is complete and correct.

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Math Problem Analysis

Mathematical Concepts

Relative Frequency
Probability
Basic Statistics

Formulas

Sum of relative frequencies = 1

Theorems

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Suitable Grade Level

Grades 6-8