I have a line plot ranging from 0-15. The numbers represent the "number of books read by students." There are no students in 0-1-11-14 or 15. What would the median number of books read by students be? My "incorrect" answer was 7.5! Please help and explain.
Thanks
To find the median of a set of numbers, you need to arrange the numbers in ascending order from smallest to largest, and then find the middle value.
In this case, the numbers representing the number of books read by students are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13. We exclude 11, 14, and 15, as specified.
Now let's count the number of values we have. In this case, we have 13 values. Since it is an odd number of values, the median will be the middle value.
To find the middle value, we need to determine which value falls in the exact middle. In this case, since we have 13 values, the middle value will be the (13 + 1) / 2 = 14 / 2 = 7th value in the ordered list.
So, if we arrange the values in ascending order, we get: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13.
The seventh value, counting from the smallest, is 6. Therefore, the median number of books read by students is 6.
This means that half of the students read fewer than 6 books, and half of the students read more than 6 books.