CALCULATING THE MEAN FROM A FREQUENCY TABLE

Work out the mean for each of these frequency tables, you may not use calculator.

Problem 1 :

Solution :

From the table, we understand that,

  • at the age of 5 we have 2 people
  • at the age of 6 we have 2 people
  • at the age of 7 we have 5 people
  • at the age of 8 we have 1 people

To find the total number of people, we will add 2, 2, 5 and 1.

Mean = 5(2)+6(2)+7(5)+8(1)2+2+5+1Mean = 10+12+35+810= 6510Mean = 6.5

Problem 2 :

Solution :

From the table, we understand that,

  • 1 person is having no phone (0 phones)
  • 3 persons is having 1phone.
  • 2 persons is having 2 phones.
  • No person is having 3 phones.
  • 4 persons is having 4 phones.
  • No person is having 5 phones.
Mean = 0(1)+1(3)+2(2)+3(0)+4(4)+5(0)1+3+2+0+4+0Mean = 0+3+4+0+16+010= 2310Mean=2.3

Problem 3 :

Solution :

Mean = 0(13)+1(28)+2(50)+3(9)13+28+50+9Mean = 0+28+100+27200= 155200= 0.775

Problem 4 :

Solution :

Mean = 0(34)+2(275)+3(512)+4(179)34+275+512+179Mean = 0+550+1536+7161000= 28021000= 2.802

Problem 5 :

Solution :

Mean = 3(1)+4(9)+5(7)+6(2)+7(1)1+9+7+2+1Mean = 3+36+35+12+720= 9320= 4.65

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