In a frequency table, each frequency tells how many times its data value occurs. The maximum is the largest data value with a positive frequency. Start at the largest listed value and check its frequency. A row with a frequency of does not represent a value in the data set, and the greatest frequency tells you something different from the greatest value.
Hints
- Hint 1
A frequency counts how many times a data value appears. If a row has a frequency of , that value never occurs. How does that affect which values could be the maximum?
- Hint 2
The maximum is the largest value that actually occurs, not the value with the greatest frequency. Start at the largest listed value and check whether its frequency is positive.
Step-by-step
Read the largest value that occurs
Step 1Rule out the zero-frequency row
No Desmos needed. The table shows which values occur.
A frequency is the number of times a value appears. The frequency beside is , so no s occur in this data set. Being listed in the table doesn't make an observation.
- Step 2
Find the greatest value present
The maximum is the greatest value that occurs. The row for has frequency , so occurs, and no larger data value is listed. The maximum data value is . Grid in 14.