Question

show please step by step.

595 26825 5301 0001 3240223 558039 121221 eerd MM Va

Answer 1

Solution :

Given that 15,-3,0.52,105,25,-2,0.36,109,18,4,-0.08,115,20,0,1.12,94,23,2,0.5,96,19,-2,-0.16,103,18,3

Mean :-
The mean of a data set is the sum of the terms divided by the total number of terms.

=> Mean μ = sum of terms/number of terms

= 76426/26

= 29.3946

Median :-
The median is the middle number in a sorted list of numbers.

Ordering the data from least to greatest, we get:

-3 -2 -2 -0.16 -0.08 0 0.36 0.5 0.52 1.12 2 3 4 15 18 18 19 20 23 25 94 96 103 105 109 115   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

=> Median = (4 + 15)/2 = 9.5

Variance :-

The variance of the data set is: σ^2 = 1806.5123

Step 1: Find the mean. [ In this example: =29.3946.(use this calculator for step by step explanation on how to find mean). Step 2: Create the following table data data-mean 14.3946 32.3946 28.8746 75.6054 4.3946 31.3946 29.0346 79.6054 11.3946 25.3946 29.4746 85.6054 9.3946 29.3946 28.2746 64.6054 -6.3946 27.3946 28.8946 66.6054 10.3946 31.3946 29.5546 73.6054 11.3946 26.3946 (data mean) 207.20450916 1049.41010916 833.74252516 5716.17650916 19.31250916 985.62090916 843.00799716 6337.01970916 129.83690916 644.88570916 868.75204516 7328.28450916 88.25850916 864.04250916 799.45300516 4173.85770916 40.89090916 750.46410916 834.89790916 4436.27930916 108.04770916 985.62090916 873.47438116 5417.75490916 129.83690916 696.67490916 0.52 105 25 0.36 109 0.08 20 1.12 94 23 0.5 0.16 103

Step 3: Find the sum of numbers in the last column to get. X45162.8076 Step 4: Calculate variance using the above formula. X45162.8076-1806.5123 m-1 26- 1

Standard deviation :-

=> The Standard deviation of the data set is σ =

=> Variance σ^2 = 1806.5123

=> Standard deviation = sqrt(Variance)

= sqrt(1806.5123)

= 42.5031