 I am Milka Jagle, working as an assistant professor in Walsh and Institute of Technology, Solapur. Today we are going to study statistical functions in SILAP, Learning Outcome. At the end of this session, student will be able to perform basic statistical functions using SILAP. So before we start, I just want you to list down few statistical functions you know. So let's see, let's see, statics is one of the important and plays a vital role in almost all the fields. So few basic statistical operations are to find out the mean, to find out the standard deviation of a given vectors. So let's see, first statistical function is mean. Mean is nothing but finding the average of all the entries specified in a vector. So let's see, second is median, sum, geometric mean of a vector, harmonic mean, standard deviation, variance, quartile, smallest element specified in a vector, largest element specified in a vector. So let's start with the few statistical functions. First is mean. So as specified here, let's assume a vector a consists of five elements, which is 25, 38, 45, 80 and 60. So to find out the mean or average of a vector, the statistical function mean is used, that is, when we just type mean of a, then we get it as 49.6, which is addition of all the elements specified in a vector a divided by five. Second statistical function is median. Median is nothing but it's a central value of a variable when the numbers are arranged in ascending or descending order of magnitude. So let's see an example of median. A is equal to 25, 38, 45, 80 and 60. So the median of the vector is 45 because the numbers 25, 38, 45, 80 and 60 are arranged magnitude-wise and here 45 is the central value, which is 45. So the answer is 45. The next statistical function is sum. By using the sum, we can find out the addition of all the vector elements which are specified, that is, the addition of all, that is 25, 38, 45, 80 and 60, the addition comes to 248. The next statistical function is geometric mean. Geometric mean can also be found out by using the geometric mean statistical function. The function which is used is GEOMEAN, that is, geometric mean of a vector 25, 38, 45, 80 and 60. So the geometric mean of this vector comes as 45.96. In the same way, the harmonic mean of a vector can also be found out by using a function HARMEAN, that is, harmonic mean of a vector elements having 25, 38, 45, 80 and 60. So the harmonic mean of the above vector comes as 42.47. The standard deviation is one of the important factor in the statistical function. So the standard deviation can also be found out. The function STDEV is used to find out the standard deviation of a vector, that is, the standard deviation of vector having elements 25, 38, 45, 80 and 60 is 21.173096. The variance of a vector can also be found out by using the Sylev statistical function. For using the variance, for finding out the variance of a vector, VARANCE, this function is used. So when a vector defined as a 25, 38, 45, 80 and 60, the variance of the above vector is 448.3. Similarly, the quartile of a vector can also be found out by using the Sylev statistical function. So let us see the example of a quartile. So the vector having element 25, 38, 45, 80 and 60 is defined. So to find out the quartile of a vector QUART, this function is used. So the quartile of the vector defined is 34.75, 45 and 65. The smallest element of a vector can also be found out by using the statistical function MIN, that is, minimum of a vector element can also be found out. So let us define a vector having elements 25, 38, 45, 80 and 60. So the minimum value of the entries in a vector can be found out by using function MIN and then we get the answer as 25 because 25 is the smallest element of the vector elements defined. So in the same way, the largest element of a vector can also be found out by using the function maximum that is MAX. So let us define a vector which is having elements 25, 38, 45, 80 and 60. So this function is used to find out the maximum element in the vector specified. So the first demonstration we are going to see is of mean of a vector. Let us define a vector, let us define vector A equal to 25, 38, 45, 80 and 60. So to find out this mean of a vector, the vector A is defined as 25, 38, 45, 80 and 60. The function which is used is mean of A that is 49.6 as we have discussed, this is the demonstration of mean finding a mean of a vector. Now let us see the median of a vector, let us define a vector A which consists of elements. So for finding a mean, we use, for finding a median, we use a function n, e, d, i, a, n of a vector A, we get the answer as 45 that is for the addition in this median, the central value is given that is 25, 38, 45, 80 and 60 whether they are arranged in ascending order or descending order, the middle value is specified. In the same way, let us see an example of sum of a vector, let us define a function elements containing for finding the sum of A, we find out the sum of the following element is A equal to 25, 38, 45, 80 and 60, the sum of this is equal to 248. So in this way, all the functions, statistical functions are carried out in this, in the psi lab. The references are a book, modeling and simulation in psi lab by Stephen Campbell and modeling and a book psi lab by Hima Ramachandran by Achyut Sankarnaya, thank you.