Question

the stem and leaf plot below shows the difference between the winning and losing school in the basketball state championships.
0 | 1 4 4 5 6 9
1 | 0 0 1 2 3
2 | 1 2
3 | 3
key 1 | 4 = 14 points
what is the probability that a winning team selected won by less than 10 points.
there are 6 values in the 0 - stem
p = 6/14 = 3/7
check for understanding
use the table above, what is the probability that a team selected did not win by more than 20 points.

Explanation:

Step1: Count total data points

Count all the values in the stem - and - leaf plot. There are 6 (in 0 - stem)+5 (in 1 - stem)+2 (in 2 - stem)+1 (in 3 - stem)=14 data points.

Step2: Count favorable data points

The values representing a win of not more than 20 points are all the values in the 0 - stem (6 values) and 1 - stem (5 values). So, the number of favorable data points is 6 + 5=11.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So, $P=\frac{11}{14}$.

Answer:

$\frac{11}{14}$