Question

each of 8 students reported the number of movies they saw in the past year. this is what they reported. 16, 11, 20, 14, 12, 14, 6, 6. find the median and mean number of movies that the students saw. if necessary, round your answers to the nearest tenth. (a) median: movies (b) mean: movies

Explanation:

Step1: Arrange data in ascending order

6, 6, 11, 12, 14, 14, 16, 20

Step2: Calculate the median

Since there are 8 data - points (an even number), the median is the average of the 4th and 5th ordered values. Median=$\frac{12 + 14}{2}=13$

Step3: Calculate the mean

Mean=$\frac{6+6 + 11+12+14+14+16+20}{8}=\frac{99}{8}=12.375\approx12.4$

Answer:

(a) 13 movies
(b) 12.4 movies