find the median and mean of the data set. books checked out from school library each day over an 11 - day…

find the median and mean of the data set. books checked out from school library each day over an 11 - day period median books mean books

find the median and mean of the data set. books checked out from school library each day over an 11 - day period median books mean books

Answer

Explanation:

Step1: Count data - points

There are 11 data - points.

Step2: Find the median

For a set with (n = 11) (odd number of data - points), the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{11+1}{2}=6)-th value when data is ordered. Counting from the dot - plot, the median is 60 books.

Step3: Calculate the sum of data

Let's assume the number of dots at each value:

  • At 40: 2 dots
  • At 50: 3 dots
  • At 60: 4 dots
  • At 70: 2 dots The sum (S=(40\times2)+(50\times3)+(60\times4)+(70\times2)=80 + 150+240 + 140=610)

Step4: Calculate the mean

The mean (\bar{x}=\frac{S}{n}), where (n = 11). So (\bar{x}=\frac{610}{11}\approx55.45) books

Answer:

Median: 60 books Mean: approximately 55.45 books