Calculate the mode for the following frequency distribution table :
`{:("Class interval", "Frequency (F)"),(" "5-15," "6),(" "15-25," "11),(" "25-35," "21),(" "35-45," "23),(" "45-55," "14),(" "55-65," "5),(," "n = 80):}`

Calculate the median for the following data : {:("Class interval", "Frequency (F)"),(" "0-20," "6),(" "20-40," "8),(" "40-60," "10),(" "60-80," "12),(" "80-100," "6),(" "100-120," "5),(" "120-140," "3),(," "n = 50):}

Find the mean of the following frequency distribution. {:("Classes :",0-20,20-40,40-60,60-80,80-100,),("Frequency :"," 15"," 18"," 21"," 29 "," 17",):}

Calculate the mean for the following data {:("C.I.",30-34,35-39,40-44,45-49,50-54,),("F"," "2," "5," "6," "5," "2,):}

Fill up the blanks in following table: P(A)" "P(B)" "P(A nn B" "P(A uu B) (i) 1/3" "1/5" "1/15" "… (ii) 0.35" "..." "0.25" "0.6 (iii) 0.5" "0.35" "..." "0.7 .

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (iii) {(1,3),(1,5),(2,5)}

Thirty children were asked about the number of hours they watched TV programmes in the previous week.The results were found as follows : {:(1",",6",",2",",3",",5",",12",",5",",8",",4",",8),(10",",3",",4",",12",",2",",8",",15",",1",",17",",6),(3",",2",",8",",5",",9",",6",",8",",7",",14",",12):} (i) Make a grouped frequency distribution table for this data 5 and one of the class intervals as 5-10. (ii) How many children watched television for 15 or more hours a weak ?

Construct the following quadrilateral JUMP JU=3.5 cm,UM=4cm,MP=5 cm,PJ=4.5 cm,PU=6.5 cm.

Find the mean deviation about the median for the data in {:("x"_(i),15,21,27,30,35),("f"_(i),3,5,6,7,8):}

A company manufactures car batteries of particular type. The life (in years) of 40 batteries was recorded as follows: Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size 0.5 starting from the interval 2-2.5.

State the reasons for the following : (i) {1,2,3.....10} ne {x : x ne N and 1 lt x lt 10} (ii) {2,4,6,8,10} ne {x: x =2n+1 and x ne N} (iii) {5,15,30,45} ne {x : x is a multiple of 15} (iv) {2,3,5,7,9} ne {x : x is a prime number}