The liberty middle school student council is selling school tshirts. Monday through Thursday, they sold 34, 52, 42, and 40 tshirts. If they sell 65 tshirts on Friday, which measure of central tendency for the week will change the most from Thursday to Friday?
The three measures of central tendency are mean, median, and mode.
To calculate:
- Mean: Add up all the values and divide by the number of values.
- Median: Arrange the values in order and find the middle value.
- Mode: The value that appears most frequently.
Let's calculate for each day:
Monday: 34 tshirts
Tuesday: 52 tshirts
Wednesday: 42 tshirts
Thursday: 40 tshirts
Friday: 65 tshirts
Mean:
((34+52+42+40+65) / 5) = 46.6
Median:
Arranged in order: 34, 40, 42, 52, 65
Middle value: 42
Mode:
No repeating value, there is no mode.
Now let's see how each measure of central tendency changes from Thursday to Friday:
Thursday:
Mean = 41.6
Median = 42
Friday:
Mean = (34+52+42+40+65) / 5 = 46.6
Median = 42
Therefore, the measure of central tendency that will change the most from Thursday to Friday is the mean.