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iVinArrow [24]
3 years ago
9

Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same number of novels an

d autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use?
The possible numbers of shelves Carlos will use are
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
Carlos will use 8 shelves with 3 novels and 2 autobiographies on each.
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Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

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we use the following formula

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Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

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