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 Best Statistics Book

Thestatistics should be the partition of mathematics that deals with analysis, organization and interpretation of arithmetical data. These are useful in general conclusions about group of data from sample of data. There are many book available to learn statistics in best way. Thestatistics book containing the concepts of mean, median, mode, range and standard deviation. That book also includes formula and example problems. Let see example problems in statistics best book.


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Example Problems – Best Statistics Book


Example 1:

Compute the mean value of the numbers, 49,57,62,33,85,90,44.

Solution:

     Given numbers are, 49,57,62,33,85,90,44.

     The adding up of given numbers = 49+57+62+33+85+90+44

                                                            = 420

     Here, we are having total numbers as ‘7’.

     So, Mean = `420/7`

                      = 60

Example 2:

Compute the median value of the numbers, 52,48,96,13,37,20,44.

Solution:

     Given numbers are, 52,48,96,13,37,20,44.

     The total numbers of given series is ‘7’.

     The sorting order of the given numbers = 13,20,37,44,48,52,96.

     In this the middle term is 44.

     Hence, Median = 44.

Example 3:

Compute the median value of the numbers, 48,79,56,93,42,58,16,25.

Solution:

     Given collection of numbers is, 48,79,56,93,42,58,16,25.

     The total numbers of given series is ‘8’.

     The arrangement order of the given numbers = 16,25,42,48,56,58,79,93.

     Therefore, median is the mean value of two middle values in arrangement order.

     Here, the two middle terms are 48 and 56.

     Hence, Median = `(48+56)/2`

                               = `104/2`

                               = 52

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Example Problems – Best Statistics Book


Example 4:

Compute the mode of the numbers, 88,59,66,71,59,64,59,32.

Solution:

     Given numbers are, 88,59,66,71,59,64,59,32.

     The ascending order of these numbers = 32,59,59,59,64,66,71,88.

     Here, the number ‘59’ is coming three times in the group of given numbers.

     Therefore, the mode of those collection of numbers = 59.

Example 5:

Compute the standard deviation of the following numbers, 47,12,36,25,30.

Solution:

     The given numbers are 47,12,36,25,30.

     Mean = `(47+12+36+25+30)/5`

               = `150/5`

               = 30

     Construct table for finding standard deviation.

x

x-30

(x-30)2

47

17

289

12

-18

324

36

6

36

25

-5

25

30

0

0

Total

 

674

     Find `((x-m)^2)/(n-1)` = `674 / (5-1)`

                              = `674 / 4`

                              = 168.5

Formula of standard deviation = `sqrt((sum_(i=1)^n (x-m)^2)/(n-1))`

                                                   = `sqrt(168.5)`

                                                   = 12.98

     Thus, standard deviation is 12.98.

That’s all about the best statistics book.