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:

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

What value should be placed in the second column for the range 1 – 5?

5

3

4

6

1 answer

To create a frequency table for the given data using the specified ranges, we will count how many values fall into each range.

The data set is: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.

Let’s count the values for each range:

  • Range 1 – 5: 2, 3, 3 → 3 values
  • Range 6 – 10: 6 → 1 value
  • Range 11 – 15: 12, 12, 13, 15 → 4 values
  • Range 16 – 20: 17, 17, 18, 19, 20 → 5 values
  • Range 21 – 25: 21, 25 → 2 values

Now, we can summarize this in a frequency table:

| Range | Number of Values | |-----------|------------------| | 1 – 5 | 3 | | 6 – 10 | 1 | | 11 – 15 | 4 | | 16 – 20 | 5 | | 21 – 25 | 2 |

Based on the counts, the value that should be placed in the second column for the range 1 – 5 is 3.