Evaluate `|{:(13,16,19),(14,17,20),(15,18,21):}|`.

The value of determinant |{:(11,12,13),(12,13,14),(13,14,15):}| is 1.

Evaluate the following determinants: |(2,3,7),(13,17,5),(15,20,12)|

Find the mean for the following data: 13,17,16,14,11,13,10,16,18,12,17

Find the mean deviation from the mean for the following data : 12,3,18,17,4,9,17, 19, 20, 15, 8, 17, 2, 3, 16, 11,3,1,0,5 .

Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14

A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability distribution of the random variable X? Find mean, variance and standard deviation of X.

Find the mean deviation from the median for the following data : 13,17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17.