00:01
Hello students, here we have given the sample data of 8 observations and by using that data we have to compute the mean mode median and sample variance and standard deviation.
00:12
So first we will arrange the data in the ascending order.
00:16
So arrange the data in an ascending order.
00:31
So we will get the data like 30, 48, 65, 70, 70, 80, 85 and 92.
00:45
So this is the data in the ascending order and now by using that data first we have to compute the mean of the sample data and we know the formula for the mean is mean is equal to summation of xi divided by n where n is the total number of observations.
01:04
So this is equal to 30 plus 48 plus this is up to the last observation that is 92 divided by total number of observations, which is 8 and we will get the mean is equal to 67 .5.
01:20
Then we have to compute the mode of the given data.
01:26
So we know that mode is nothing but mode is equal to the observation with the highest frequency or most repeated observation most repeated observation and now here we can see that the observation 70 is repeated twice and all the other observations are appeared only once.
01:52
So therefore this is equal to 70 is the mode of the data.
01:58
Then we have to find the median.
02:01
So we have the total number of observations that is n is equal to 8 which is the even number and when n is even at that time the formula for the median is median is equal to n by 2th observation plus n by 2 plus 1th observation and divide by 2...