To find the modal age for each movie, we need to identify the age (or ages) that occur most frequently in the given data.
Movie 1
The frequency of ages from the given data for Movie 1 is as follows:
- Ages 17 to 43 are represented, and we can count the occurrences from the line above:
- Age 17: 1
- Age 18: 1
- Age 19: 0
- Age 20: 3
- Age 21: 1
- Age 22: 1
- Age 23: 2
- Age 24: 0
- Age 25: 1
- Age 26: 1
- Age 27: 0
- Age 28: 1
- Age 29: 1
- Age 30: 0
- Age 31: 1
- Age 32: 1
- Age 33: 0
- Age 34: 0
- Age 35: 1
- Age 36: 1
- Age 37: 0
- Age 38: 1
- Age 39: 1
- Age 40: 0
- Age 41: 0
- Age 42: 0
- Age 43: 0
The highest frequency occurs for age 20, which has a count of 3. All other ages have lower or equal counts.
The modal age of the people who watched Movie 1 is 20.
Movie 2
Now we look at the frequency count for Movie 2:
- Age 24: 1
- Age 25: 1
- Age 26: 0
- Age 27: 0
- Age 28: 1
- Age 29: 2
- Age 30: 1
- Age 31: 1
- Age 32: 2
- Age 33: 0
- Age 34: 1
- Age 35: 1
- Age 36: 0
- Age 37: 0
- Age 38: 1
- Age 39: 1
- Age 40: 1
- Age 41: 0
- Age 42: 0
- Age 43: 0
- Age 44: 0
- Age 45: 0
- Age 46: 0
- Age 47: 0
- Age 48: 0
- Age 49: 0
- Age 50: 0
The ages 29 and 32 both have a frequency of 2, which is the highest for this dataset.
The modal ages of the people who watched Movie 2 are 29 and 32.
Thus, the final answers are:
- The modal age of the people who watched Movie 1 is 20.
- The modal ages of the people who watched Movie 2 are 29 and 32.