Question

a school is having a contest in which students guess the number of candies in a jar. the student whose guess is closest to the correct number of candies in the jar wins a prize. the number of candies guessed by male and female students is shown in the back - to - back stemplot below. 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.

Explanation:

Step1: Recall skewness concept

Skewness is about the shape of the distribution. In a back - to - back stemplot, if the tail of the data is on the left side, it is skewed left; if on the right side, it is skewed right.

Step2: Analyze male students' distribution

For male students, the smaller values (62, 72, 81, etc.) are on the left side and the larger values (138, 136, 149, 145) are more spread out on the right side. So, the distribution of male students' guesses is skewed to the right.

Step3: Analyze female students' distribution

For female students, the larger values (121, 121, 122, 118, 118) are on the right side and the smaller values (64, 75, 78, 80, 89) are more spread out on the left side. So, the distribution of female students' guesses is skewed to the left.

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.