Math Problem Statement
The scores from 50 psychology students that took a standardized test are summarized in the given table.
Scores
Frequency
140 - 149
7
150 - 159
12
160 - 169
8
170 - 179
6
180 - 189
17
If a relative frequency distribution is constructed for this data set, what is the relative frequency for the fourth class, 170 - 179? Round the answer to two decimal places.
Relative frequency =
Solution
To calculate the relative frequency for the fourth class (170 - 179), follow these steps:
-
Determine the total number of students:
-
Identify the frequency of the fourth class:
- The frequency for the class 170 - 179 is 6.
-
Calculate the relative frequency:
Thus, the relative frequency for the fourth class (170 - 179) is 0.12.
Would you like more details or have any questions? Here are some related questions:
- How do you interpret the relative frequency in the context of this problem?
- What is the sum of all relative frequencies for a distribution?
- How would you calculate the relative frequency for a class if the frequency and total number of data points are known?
- What is the importance of rounding when calculating relative frequencies?
- How could you visualize this data to better understand the distribution?
Tip: Always ensure that the sum of all relative frequencies in a distribution equals 1 (or 100% when expressed as a percentage).
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Math Problem Analysis
Mathematical Concepts
Statistics
Relative Frequency
Frequency Distribution
Formulas
Relative frequency = (Frequency of the class) / (Total number of students)
Theorems
Sum of all relative frequencies equals 1
Suitable Grade Level
Grades 9-12
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