Math Problem Statement
Consider the frequency distribution with 5 classes of the given data set that represents the time in minutes spent reading a music blog in a day. Data Set:
7,39,13,25,8,22,0,2,18,2,30,7,35,12,15,8,6,5,29,0,11,39,16,15
Give the the class width, the lower class limit of the first class, and the upper class limit of the first class. Separate your answers with commas.
Solution
To solve this, we first follow these steps:
-
Class Width:
The class width is determined by finding the difference between the maximum and minimum values of the dataset and dividing by the number of classes. Then, round up to the nearest whole number.- Max value = 39
- Min value = 0
- Number of classes = 5
-
Lower Class Limit of the First Class:
The lower class limit of the first class is the minimum value in the dataset, which is 0. -
Upper Class Limit of the First Class:
The upper class limit of the first class can be found by adding the class width to the lower class limit of the first class and then subtracting 1 to avoid overlap between classes.
Final Answer:
Class width = 8, Lower class limit = 0, Upper class limit = 7
Would you like further details on the steps or have any questions?
Here are 5 related questions you might find helpful:
- How would the class limits change if we used 6 classes instead of 5?
- What are the limits of the second class in this distribution?
- How do you find the class midpoint, and what is it for the first class?
- How would the frequency distribution look for this dataset?
- Why do we round up the class width?
Tip: Always remember to subtract 1 from the upper class limit to ensure no overlap between consecutive classes.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Class Width
Class Limits
Formulas
Class width = (Max value - Min value) / Number of classes
Upper class limit = Lower class limit + Class width - 1
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Construct a Frequency Distribution with 55 Classes: Step-by-Step Guide
Constructing a Frequency Distribution with 5 Classes
How to Calculate Class Width and Construct a Frequency Distribution
Calculate Class Width in Frequency Distribution - Detailed Explanation
Class Width, Midpoints, and Boundaries for Frequency Distribution