the data below represents the ages of the first ten people in line at the movie theater
22, 30, 23, 22, 27, 27, 29, 23, 30, 22
The range of ages in the line is 8 years, from 22 to 30.
Step 1: Arrange the ages in ascending order:
The ages in ascending order are 22, 22, 22, 23, 23, 27, 27, 29, 30, 30.
Step 2: Find the range:
The range is the difference between the largest and smallest values in the data. In this case, the range is 30 - 22 = 8.
Step 3: Find the mean (average) age:
To find the mean, add up all the ages and divide by the total number of ages.
(22 + 22 + 22 + 23 + 23 + 27 + 27 + 29 + 30 + 30) / 10 = 256 / 10 = 25.6
Step 4: Find the median:
The median is the middle value in the data when arranged in ascending order. In this case, since we have 10 ages, the middle values are the 5th and 6th values.
Median = (23 + 27) / 2 = 50 / 2 = 25.
Step 5: Find the mode:
The mode is the value(s) that appear most frequently in the data. In this case, the mode is 22, as it appears the most number of times (3 times).
Therefore, the range is 8, the mean is 25.6, the median is 25, and the mode is 22.
To find the average age of the first ten people in line at the movie theater, you need to add up all the ages and then divide by the number of people. Here's how you can do it:
Step 1: Add up all the ages
22 + 30 + 23 + 22 + 27 + 27 + 29 + 23 + 30 + 22 = 255
Step 2: Divide the sum by the number of people
255 / 10 = 25.5
Therefore, the average age of the first ten people in line at the movie theater is 25.5 years.