11. According to the National Education Association (NEA), teachers generally sp

Question

11. According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instructional duties (NEA website, April 2012). 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 Teachers: 53 56 54 54 55 58 49 61 54 54 52 53 54 High School English Teachers: 52 47 50 46 47 48 49 46 55 44 47 a. What is the median number of hours worked per week for the sample of 13 high b. What is the median number of hours worked per week for the sample of 11 high c. Which group has the higher median number of hours worked per week? What is the school science teachers? school English teachers? difference between the median number of hours worked per week?

Explanation / Answer

Solution:

( a )

The median is the middle number in a sorted list of numbers

arranging the working hours of 13 high school science teachers =

52   53   53   54   54   54   54 54   55   56   58   59   61

Median = 54

( b )

The median is the middle number in a sorted list of numbers

arranging the working hours of 11 high school english teachers =

44   46   47   47   47   49   49   50   52   55

Median = ( 47 + 49 ) / 2 = 48

( c )

Group of 13 high school science teachers has the higher median

Difference between both medians = 54 - 48 = 6

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