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 = 

To calculate the *relative frequency* for the fourth class (170 - 179), follow these steps:

1. **Determine the total number of students**:
   \[
   \text{Total number of students} = 7 + 12 + 8 + 6 + 17 = 50
   \]

2. **Identify the frequency of the fourth class**:
   - The frequency for the class 170 - 179 is 6.

3. **Calculate the relative frequency**:
   \[
   \text{Relative frequency} = \frac{\text{Frequency of the class}}{\text{Total number of students}} = \frac{6}{50} = 0.12
   \]

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:

1. How do you interpret the relative frequency in the context of this problem?
2. What is the sum of all relative frequencies for a distribution?
3. How would you calculate the relative frequency for a class if the frequency and total number of data points are known?
4. What is the importance of rounding when calculating relative frequencies?
5. 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).

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 = 

Learn how to calculate the relative frequency for the class 170-179 in a frequency distribution of psychology test scores. This step-by-step solution covers key statistical concepts like relative frequency and frequency distribution, suitable for students in Grades 9-12.

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