Final answer:
In this case, the total number of students who took part in the basketball competition is 13.
The correct answer is C. 13.
Step-by-step explanation:
To find the total number of students who took part in the basketball competition, we need to analyze the information given in both the stem-and-leaf plot and the histogram.
1. In the histogram, we see that 0 to 9 points have a frequency of 1, 10 to 19 points have a frequency of 3, 20 to 29 points have a frequency of 6, and 30 to 39 points have a frequency of 3.
2. Looking at the stem-and-leaf plot, we can count the number of individual data points or "leaves" for each stem value:
- - Stem 0 has 1 leaf (representing 1 student with a height in the 0-9 inches range).
- - Stem 1 has 3 leaves (representing 3 students with heights in the 10-19 inches range).
- - Stem 2 has 6 leaves (representing 6 students with heights in the 20-29 inches range).
- - Stem 3 has 3 leaves (representing 3 students with heights in the 30-39 inches range).
3. Add up the individual frequencies from the histogram and the number of leaves from the stem-and-leaf plot:
1 + 3 + 6 + 3 = 13.
Therefore, the total number of students who took part in the basketball competition is 13.
The correct answer is C. 13.