Question

to get credit for meeting his schools community service requirement, johnny kept a volunteering log.
hours spent volunteering
friday
saturday
sunday
monday
tuesday
0 1 2 3 4 5 6 7 8 9 10
hours
day
what is the median of the numbers?

Explanation:

Step1: Extract volunteer hours

From the bar graph, the hours are: Friday=8, Saturday=7, Sunday=5, Monday=7, Tuesday=7.

Step2: Order the values

Sort the hours: $5, 7, 7, 7, 8$

Step3: Find the median

For 5 values, median is the 3rd term: $7$? Wait correction: Recheck extracted values:
Wait Friday bar ends at 8, Saturday at 7, Sunday at 5, Monday at 7, Tuesday at 7. Sorted: 5,7,7,7,8. The middle term (3rd) is 7. Wait no, wait: Wait let's recheck the x-axis:
Wait Sunday: bar ends at 5, Monday: 7, Tuesday:7, Saturday:7, Friday:8. Sorted: 5,7,7,7,8. Median is the 3rd value, which is 7. Wait no, wait maybe I misread: Wait Friday's bar is up to 8, Saturday up to 7, Sunday up to 5, Monday up to 7, Tuesday up to 7. Yes. So sorted list is [5,7,7,7,8]. The median is the middle number, which is 7.

Wait correction, let's redo:

Step1: Extract data points

Hours: 8 (Fri),7(Sat),5(Sun),7(Mon),7(Tue)

Step2: Sort the data

$5, 7, 7, 7, 8$

Step3: Select median (middle value)

For n=5 (odd), median = $\frac{n+1}{2}$th term = 3rd term = 7

Step1: Extract volunteer hours

Hours: 8,7,5,7,7

Step2: Sort the values

$5, 7, 7, 7, 8$

Step3: Identify median (middle term)

3rd term = $7$

Answer:

6