Without adding, find the sum of the following numbers
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 =

Find the mode of the following data. 20 ,3, 7 ,13 , 3 , 6 , 7 ,19 , 15 , 7 , 18 ,3 .

find the sum of the following A.Ps 7,11,15,….,12 terms, n terms.

Find the sum of the following APs. (iv) 1/15, 1/12, 1/10, ……, ot 11 terms.

Construct a frequency distribution for the following series of numbers.2, 3, 4, 6, 7, 8, 9, 9, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 16, 17, 18, 18, 19, 20, 20, 21, 22, 24, 24, 25.

Find the modes of the following data. i) 5, 6, 3, 5, 4, 9, 5, 6, 4, 9, 5 ii) 25, 14, 18, 15, 17, 16, 19, 13, 12, 24 iii) 10, 15, 20, 15, 20, IO, 15, 20, 10

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

Find the median of the following data: 5,7,9,11,15,17,2,23 and 19

Without actual calculating the cubes, find the value of the following : (28)^3+ (-15)^3+ (-13)^3 .

Take any three consecutive odd numbers and find their product, for example 1 xx 3 xx 5 = 15 , 3 xx 5 xx 7 = 105 , 5 xx 7 xx 9 -..........