in a mathematics class, half of the students scored 79 on an achievement test. with the exception of a few…

in a mathematics class, half of the students scored 79 on an achievement test. with the exception of a few students who scored 49, the remaining students scored 78. which of the following statements is true about the distribution of scores?\na. the mean is greater than the median.\nb. the mean is less than the median.\nc. the mean and the median are the same.\nd. the mean is greater than the mode.

in a mathematics class, half of the students scored 79 on an achievement test. with the exception of a few students who scored 49, the remaining students scored 78. which of the following statements is true about the distribution of scores?\na. the mean is greater than the median.\nb. the mean is less than the median.\nc. the mean and the median are the same.\nd. the mean is greater than the mode.

Answer

Explanation:

Step1: Analyze mode

Half of the students scored 79, so the mode is 79.

Step2: Analyze median

Since half of the students scored 79, when the scores are arranged in ascending - order, the middle - value (median) is 79 if the number of students is even, and the average of the two middle - values is 79 if the number of students is odd. So the median is 79.

Step3: Analyze mean

There are some low scores of 49. These low scores will pull the mean down. Since the mode and median are 79, and the low scores of 49 affect the mean, the mean will be less than 79.

Answer:

B. The mean is less than the median.