Question

Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.

Use the ranges listed in the table below:

Range Number of Values Relative Frequency
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25


What is the relative frequency for the range 11 – 15?

Answer 1

To generate a frequency table for the given data, count how many data points fall within each range. The relative frequency for the range 11 - 15 is 0.1333.

Step-by-step explanation:

To generate a frequency table for the given data, we need to count how many data points fall within each range. Here is the frequency table:

RangeNumber of Values1 - 536 - 10211 - 15216 - 20421 - 254

The relative frequency for the range 11 - 15 is 2/15 or 0.1333.

Answer 2

The relative frequency for the range 11–15 is calculated by dividing the number of values in that range (4) by the total number of data points (15), resulting in a relative frequency of 0.27 or 27%.

Step-by-step explanation:

Frequency Table Creation and Understanding Relative Frequency

To generate a frequency table for the given data set (3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19) with the specified ranges, we count the number of values that fall into each range. Then, to find the relative frequency for the range 11–15, we divide the frequency by the total number of data points.

1. 
   
3. Count the number in each range:
   
   • 
     
   • 1–5: 3 values (2, 3, 3)
   • 
     
   • 6–10: 1 value (6)
   • 
     
   • 11–15: 4 values (12, 12, 13, 15)
   • 
     
   • 16–20: 5 values (17, 17, 18, 19, 20)
   • 
     
   • 21–25: 2 values (21, 25)
   • 
     
   
   
4. 
   
6. Calculate relative frequencies by dividing each frequency by the total number of values (15):
   
   • 
     
   • 1–5: 3/15 = 0.20
   • 
     
   • 6–10: 1/15 = 0.07
   • 
     
   • 11–15: 4/15 = 0.27
   • 
     
   • 16–20: 5/15 = 0.33
   • 
     
   • 21–25: 2/15 = 0.13
   • 
     
   
   

The relative frequency for the range 11–15 is therefore 0.27 or 27%.