Question

male|female
6|4
2 7|5 8
1 8|0 9
0 9|0 0 5
0 0 10|0 0 1 4
5 5 3 0 11|0 0 5 7 8 8
5 5 5 4 2 1 0 12|0 1 1 2
8 6 5 0 0 0 13|
9 5 0 14|
key: 6|4 = 64
which of the following statements is true about the distributions of guesses?
a the distribution of guesses for male students is skewed to the left, and the distribution of guesses for female students is skewed to the right.
b the distribution of guesses for male students is skewed to the right, and the distribution of guesses for female students is skewed to the left.
c the distributions of guesses for male and female students are both skewed to the right.
d the distributions of guesses for male and female students are both skewed to the left.
e the distributions of guesses for male and female students are both symmetric.

Explanation:

Step1: Analyze male students' data

For male students, most of the lower - valued data (in the 60 - 100 range) are on the left side of the stem - and - leaf plot, and there are a few higher - valued data (130s and 140s) on the right side. So, the distribution of male students' guesses is skewed to the right as the tail of the distribution is on the right side.

Step2: Analyze female students' data

For female students, most of the higher - valued data (in the 100 - 120 range) are on the right side of the stem - and - leaf plot, and there are a few lower - valued data (60 - 90 range) on the left side. So, the distribution of female students' guesses is skewed to the left as the tail of the distribution is on the left side.

Answer:

B. The distribution of guesses for male students is skewed to the right, and the distribution of guesses for female students is skewed to the left.