Question

According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instructional duties. The following data show the number of hours worked per week for a sample of 13 high school science teachers and a sample of 11 high school English teachers. High school science teachers55585252565948635252505256 High school English teachers5046484847475044574345 (a)What is the median number of hours worked per week for the sample of 13 high school science teachers

Answer 1

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.