The relative humidity (in %) of a certain city for a month of 30 days was as follows :
`{:(98.1,98.6,99.2,90.3,86.5,95.3,92.9,96.3,94.2,95.1),(89.2,92.3,97.1,93.5,92.7,95.1,97.2,93.3,95.2,97.3),(96.2,92.1,84.9,90.2,95.7,98.3,97.3,96.1,92.1,89):}`
(i) Construct a grouped frequency distribution table with classes 84-86 ,86-88, etc.

The relative humidity (in %) of a certain city for a month of 30 days was as follows : {:(98.1,98.6,99.2,90.3,86.5,95.3,92.9,96.3,94.2,95.1),(89.2,92.3,97.1,93.5,92.7,95.1,97.2,93.3,95.2,97.3),(96.2,92.1,84.9,90.2,95.7,98.3,97.3,96.1,92.1,89):} (iii) What is the range of this data ?

The relative humidity (in %) of a certain city for a month of 30 days was as follows : {:(98.1,98.6,99.2,90.3,86.5,95.3,92.9,96.3,94.2,95.1),(89.2,92.3,97.1,93.5,92.7,95.1,97.2,93.3,95.2,97.3),(96.2,92.1,84.9,90.2,95.7,98.3,97.3,96.1,92.1,89):} (ii) Which month or season do you think this data is about ?

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows : {:(2.6,3.0,3.7,3.2,2.2,4.1,3.5,4.5,3.5,2.3,3.2),(3.4,3.8,3.2,4.6,3.7,2.5,4.4,3.4,3.3,2.9,3.0),(4.3,2.8,3.5,3.2,3.9,3.2,3.2,3.1,3.7,3.4,4.6),(3.8,3.2,2.6,3.5,4.2,2.9,3.6,,,,):} Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting form the intervals 2-2.5

Three coins were tossed 30 times simultaneously. Each time number of heads occurring was note down as follows : 0, 1, 2, 2, 1, 2, 3, 1, 3, 0, 1, 3, 1, 1, 2, 2, 0, 1, 2, 1, 3, 0, 0, 1, 1, 2, 3, 2, 2, 0. Prepare a frequency distribution table for the data given above.

The ten's digit of 1!+2!+3!+ . . .+97! is

Construct 'ogive' for the following distribution : {:("C.I.",0-3,3-6,6-9,9-12,12-15),(F," "9," "3," "5," "3," "1):}

A={1,2,3,4,5,6,7,8,9,10}, B={2,3,5,7}. Find A cap B

Expand |{:(1,2,3),(4,6,2),(5,9,4):}|

Using the property of determinants and without expanding prove that {:|( 2,7,65),( 3,8,75),( 5,9,86) |:} = 0