Math Problem Statement

In building a Frequency Distribution Table for this data set, you need to know how many values are in the class from 60 to 65. You decided that each class will include the lower class limit, but not the upper class limit. So, how many values are there in the interval [60, 65]?

Solution

The problem asks for the frequency of values that lie within the interval [60,65)[60, 65) from the provided data set. This means we need to count how many values are greater than or equal to 60 but less than 65.

Let's extract the values and count those in the desired range:

Data set:

65.39 & 65.62 & 34.82 & 53.08 \\ 53.44 & 56.79 & 53.21 & 53.09 \\ 30.4 & 38.29 & 44.11 & 55.85 \\ 71.86 & 48.39 & 66.64 & 48.42 \\ 50.89 & 34.2 & 48.79 & 59.64 \\ 73.62 & 50.56 & 51.75 & 53.77 \\ 46.51 & 76.86 & 37.93 & 51.06 \\ 43.91 & 53.05 & 55.96 & 60.3 \\ 59.63 & 53.2 & 51.45 & 60.0 \\ 49.67 & 45.14 & 51.48 & 65.0 \\ \end{matrix}$$ Now, we will count how many values fall within the interval $$[60, 65)$$: - 60.3 - 60.0 - 65.0 Values in this interval: **3 values (60.3, 60.0, and 65 is excluded since the interval is [60, 65)).** Thus, the frequency is **3**. Would you like more details or have any further questions? Here are five related questions to consider: 1. How is the frequency distribution table constructed for other intervals? 2. What is the total range of the data set? 3. How can we create a histogram based on this data? 4. How do class limits differ from class boundaries? 5. How can we determine the mean or median for this data? **Tip:** When creating class intervals, be careful with inclusive and exclusive boundaries to avoid misclassifying data.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Class Intervals
Inclusive and Exclusive Limits

Formulas

Count values in the interval [60, 65)

Theorems

Class Interval Theorem (Inclusive and Exclusive limits)

Suitable Grade Level

Grades 7-9

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