Question

The students in Ms. Rodriguez's class reported the number of hours they spend exercising in a
typical week. They recorded their answers in a dot plot.
Ms. Rodriguez's Class
X
X
X
X
X
X
X
XXXXX XX
X
X
X
十
+
1
T~
2
27-
4
3
4
Hours Spent Exercising What is the median of their data?

Answer 1

To find the median of the data represented in the dot plot, we need to first count the number of hours spent exercising based on the dots shown in the plot.

From the dot plot you provided, we can count the number of dots (symbols) for each hour:

- 1 hour: 7 dots (7 students)
- 2 hours: 5 dots (5 students)
- 3 hours: 3 dots (3 students)
- 4 hours: 1 dot (1 student)

Now, let's summarize the total number of responses:

- Total = 7 (for 1 hour) + 5 (for 2 hours) + 3 (for 3 hours) + 1 (for 4 hours) = 16 students

Next, we want to find the median:

1. Since the total number of responses (students) is even (16), we will find the average of the 8th and 9th values in the ordered list.
2. Now, let’s list out each student's hours based on the counts:
- 1 hour: 1, 1, 1, 1, 1, 1, 1 (7 times)
- 2 hours: 2, 2, 2, 2, 2 (5 times)
- 3 hours: 3, 3, 3 (3 times)
- 4 hours: 4 (1 time)

So the complete ordered list of hours is:
1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4

3. The 8th and 9th values in this ordered list are:
- 8th value: 2
- 9th value: 2

4. Now calculate the median:
\[
\text{Median} = \frac{2 + 2}{2} = 2
\]

Therefore, the median of the hours spent exercising is **2 hours**.