Questions: Median of a data set following list contains the number of movies that a group of 10 students saw in theaters in the past year 7,11,15,4,12,8,17,5,15,15 the median number of movies that the students saw.

Median of a data set following list contains the number of movies that a group of 10 students saw in theaters in the past year 7,11,15,4,12,8,17,5,15,15 the median number of movies that the students saw.

Transcript text: Median of a data set following list contains the number of movies that a group of 10 students saw in theaters in the past year \[ 7,11,15,4,12,8,17,5,15,15 \] the median number of movies that the students saw.

Solution

Solution Steps

Step 1: Sort the Data

The sorted data set is: [4, 5, 7, 8, 11, 12, 15, 15, 15, 17].

Step 2: Determine the Position of the Median

Since the total number of observations, \(N\), is even (\(N = 10\)), the median is the average of the values at positions \(N/2 = 5\) and \((N/2) + 1 = 6\) in the sorted list.

Step 3: Calculate the Median

The median of the data set is the average of the two determined values: 12.