Mathematics
Grade6
Easy

Question

The following sets of data show the number of butterflies that emerged from the pupa stage for a variety of species of butterfly. The set of data that has the greatest spread is?

  1. {16, 17, 18, 23, 42}
  2. {5, 11, 18, 22, 38}
  3. {7, 12, 12, 20, 23}
  4. {15, 18, 20, 23, 30}

Hint:

We are given the data set for the number of butterflies emerged from the pupa stage. It is of different variety of butterflies. We are asked to find the set, which has greater spread.

The correct answer is: {5, 11, 18, 22, 38}


    We will calculate the spread of the data for all the sets. We will then compare the values of all the sets. The set with greater value will have greater spread
    {16, 17, 18, 23, 42}  
    Spread = 42 - 16 = 26
    {5, 11, 18, 22, 38} 
    Spread = 38 - 5 = 33
    {7, 12, 12, 20, 23} 
    Spread = 23 - 7 = 15
    {15, 18, 20, 23, 30}
    Spread = 30 - 15 = 15
    herefore, the data set {5, 11, 18, 22, 38} has a greater spread i.e, 38-5 = 33.

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