Do the following calculations by suitable re-arrangements: `31+32+33+34+35+65+66+67+68+69`

Determine the following products by suitable re-arrangement: 8\ *\ 125\ *\ 40\ *\ 25

Express the result of the following calculations to the appropriate number of significant digits. 6.66xx3.33+216.67

Express the results of the following calculations to proper number of significant figures, (i) 45.67m + 3.1 m , (ii) 506.8-203.765

Calculate the mean, median and standard deviation of the following distribution: Class interval 31-35 36-40 41-45 46-50 51-55 56-60 61-65 66-70 Frequency: 2 3 8 12 16 5 2 3

Prepare a frequency table of the following scores obtained by 50 students in a test: 42, 51, 21, 42, 37, 37, 42, 49, 38, 52 7, 33, 17, 44, 39, 7, 14, 27, 39, 42 42, 62, 37, 39, 67, 51, 53, 53, 59, 41 29, 38, 27, 31, 54, 19, 53, 51, 22, 61 42, 39, 59, 47, 33, 34, 16, 37, 57, 43

Calculate the median and sixty first percentile from the following data of marks obtained by 10 students in an examination. 22, 26, 30, 14, 35, 11, 18, 12, 32, 41.

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

Calculate the median from the following data: Rent (in Rs.): 15-25 25-35 35-45 45-55 55-65 65-75 75-85 85-95 No. of Houses: 8 10 15 25 40 20 15 7

A list consists of the following pairs of numbers: 51, 53; 55,57; 59,61; 63,65; 67,69; 71,73 Categorize them as pairs of: (i) co-primes (ii) primes (iii) composites