Question

garth is packing boxes with books. the list shows how many books are in each of 10 boxes. 6, 14, 6, 18, 9, 9, 12, 10, 11, 15 which statement is true about the number of books packed to a box? the median number of books to a box is 8. the median number of books to a box is 9. the mean number of books to a box is 11. the mean number of books to a box is 12.

Explanation:

Step1: Sort the data

Sort the number of books: \(6,6,9,9,10,11,12,14,15,18\)

Step2: Calculate the median

Since there are \(n = 10\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. \(\frac{n}{2}=5\), \(\frac{n}{2}+1 = 6\). The \(5\)th value is \(10\) and the \(6\)th value is \(11\). Median\(=\frac{10 + 11}{2}=\frac{21}{2}=10.5\)

Step3: Calculate the mean

Mean\(=\frac{6+14+6+18+9+9+12+10+11+15}{10}\)

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Answer:

The mean number of books to a box is 11.