Finding the Class Boundaries of the Frequency Table
A data set has the following frequency distribution: Class interval 10-20 has a frequency of 5, class interval 20-30 has a frequency of 8, class interval 30-40 has a frequency of 3, and class interval 40-50 has a frequency of 4. Find the class boundaries of the frequency table.
Finding the Class Width of the Frequency Table
The following data represents the number of hours students in a class study each week: 2, 3, 5, 7, 8, 12, 13, 14, 15, 15, 20. We want to create a frequency distribution table with 5 classes. What is the class width?
Finding the Midpoints of the Frequency Table
A survey was taken, asking 60 people about the number of books they read in a year. The number of books read were divided into 5 groups: 0-10, 11-20, 21-30, 31-40, 41-50. The number of people in each group were 10, 15, 12, 15, 8 respectively. What are the midpoints of each group in the frequency distribution table, and what is the average number of books read by the survey participants based on these midpoints and frequencies?
Finding the Mean of the Frequency Table
A teacher rated the performance of 6 students in a class. The ratings were as follows: 4, 6, 5, 7, 8, 6. The teacher listed these ratings in a frequency table. Find the mean of the frequency table.
Finding the Variance of the Frequency Table
A survey was conducted to find out the number of books read by students in a class. The frequency distribution of this data is given as follows:\n\nNumber of books: \([0, 1, 2, 3, 4, 5]\)\nFrequency: \([5, 10, 7, 5, 2, 1]\)\n\nFind the variance of the frequency table.
Finding the Cumulative Frequency of the Frequency Table
A survey was conducted in a school to find out the favorite color of students. The frequency distribution table is given below. Find the cumulative frequency of the frequency table.
Finding the Relative Frequency of the Frequency Table
A survey was conducted to find out how many hours per week students spend on social media. The results were as follows: 0-5 hours: 50 students, 5-10 hours: 60 students, 10-15 hours: 40 students, 15-20 hours: 30 students, 20-25 hours: 20 students. What is the relative frequency of each category?
Finding the Modal Class of the Frequency Table
Given the following frequency table, find the modal class: \n\nClasses: 10-20, 20-30, 30-40, 40-50, 50-60 \nFrequencies: 5, 7, 12, 9, 6
Finding the Data Range
Given the frequency distribution of the ages of a group of people: \{5: 4, 10: 8, 15: 12, 20: 16, 25: 20, 30: 24\}. What is the data range?