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The weights in grams of 50 oranges picke...

The weights in grams of 50 oranges picked at random from a consignment are as follows: 131,113,82,75,204,81,84,118,104,110,80,107,111,141, 136,123,90,78,90,115,110,98,106,99,107,84,76,186,82, 100,109,128,115,107,115,119,93,187,139,129,130,68, 195,123,125,111,92,86,70,126 Form the grouped frequency table by dividing the variable range into intervals of equal width, each corresponding to 20gms in such a way that the mid-value of the first class corresponds to 70 gms.

Text Solution

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Size of each class=20
Let the lowe limit of the first class interval be a.
Then, its upper limit=(a+20)
Mid-value of the first class interval=70
`therefore (a(a+20))/(2)=70 Rightarrow 2a=120 Rightarrow a=60`
The first class interval is 60-80.
So, we may give the frequency distribution as under.
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The weights in grams of 50 apples picked at random from a consignment are as follows 106, 107, 76, 82, 109, 107, 115, 93, 187, 195, 123, 125, 111, 92, 86, 70, 126, 68, 130 129, 139 119, 115, 128, 100, 186, 84, 99, 118, 204, 111, 141, 136 123, 90, 11 98, 110, 78, 90, 107, 81, 131, 75, 84, 104, 110, 80, 118, 82. Form the grouped frequency table by dividing the variable range into intervals of equal width, each corresponding to 70 gms in such a way that mid-value of the first class corresponds to 70 gms.

Directions (Questions 11 to 15): Study the following table carefully and answer the questions given below: Number (N) of Candidates (In lakhs) Appearing For An Entrance Examination From Six Different States And The Percentage (P) of Candidates Clearing the Same Over the Years STATE -> A B C D E F YEAR darr N P N P N P N P N P N P 2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31 2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24 2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26 2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29 2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34 2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37 What is the ratio of the total number of candidates clearing the entrance examination from State B in the year 2004 to that of those clearing the entrance examination from State C in the same year? (a) 221 : 148 (b) 218 : 143 (c) 148 : 221 (d) 143 : 218 (e) None of these