Each of 8 students reported the number of movies they saw in the past year. This is what they reported.13, 9, 4, 14, 10, 10, 17, 8Find the median and mean number of movies that the students saw.If necessary, round your answers to the nearest tenth.
Question
Each of 8 students reported the number of movies they saw in the past year. This is what they reported.13, 9, 4, 14, 10, 10, 17, 8Find the median and mean number of movies that the students saw.If necessary, round your answers to the nearest tenth.
Solution
To find the median and mean of the number of movies the students saw, follow these steps:
Step 1: Arrange the data in ascending order: 4, 8, 9, 10, 10, 13, 14, 17.
Step 2: Find the median. The median is the middle number in a sorted list of numbers. If the list has an even number of observations, the median is the average of the two middle numbers. In this case, the two middle numbers are 10 and 10. So, the median is (10+10)/2 = 10.
Step 3: Find the mean. The mean is the sum of all the numbers divided by the count of numbers. Add up all the numbers, then divide by 8 (the number of students). The sum of the numbers is 4+8+9+10+10+13+14+17 = 85. So, the mean is 85/8 = 10.625.
So, the median number of movies that the students saw is 10 and the mean number of movies that the students saw is 10.6 (rounded to the nearest tenth).
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