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Reptile [31]
3 years ago
6

5. Simplify: 56 = 7 - 3 [4 + {8 - 4 ( 4 + 5 - 3 )}]​

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

36

Step-by-step explanation:

56=7-3[4+{8-4(4+5-3)}]

56=7-3[4+{4(4+5-3)}]

56=7-3[4+{16+20-12)}]

56=7-3[4+24]

56=4[28]

56=92

56-56=92-56

36

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What is the standard deviation of this data set? Use a calculator to help you.
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Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

        X                          X - Xbar                  (X-Xbar)^{2}

       20                     20 - 46 = -26                    676

       23                     23 - 46 = - 23                    529

       32                     32 - 46 = -14                      196

       36                     36 - 46 = -10                      100

       41                      41 - 46 = -5                         25

       43                     43 - 46 = -3                          9

       44                     44 - 46 = -2                          4

       45                     45 - 46 = -1                           1

       47                      47 - 46 = 1                            1

       54                      54 - 46 = 8                        64

       55                      55 - 46 = 9                        81

      59                       59 - 46 = 13                      169

       61                       61 - 46 = 15                       225

       63                       63 - 46 = 17                      289

       66                       66 - 46 = 20                <u>     400    </u>    

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Firstly we will calculate Mean, Xbar = \frac{\sum X}{n}

  Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15} = 45.93 ≈ 46

Now, Standard deviation formula is given by;

                   s = \sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}} = \sqrt{\frac{ 2769}{15-1}} = 14.064 .

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