Question

Which data set has the greatest spread ?

Set A-{84,91,87,77,94,89,74}
Set B-{89,73,84,91,87,77,94}
Set C-{73,84,89,88,77,91,87,90}
Set D-{84,89,88,82,91,87,99}

Answer 1

(B) set B

Explanation:

The greatest spread is the range of the given data set.

(A) The given data set is:

84,91,87,77,94,89,74

Arranging the given data in ascending order, we have

77, 77, 84, 87, 89, 91, 94

The range is given as:

`R=94-74=20`

Thus, the spread of the given data is 20.

(B) The given data set is:

89,73,84,91,87,77,94

Arranging the given data in ascending order, we have

73, 77, 84, 87, 89, 91, 94

The range is given as:

`R=94-73=21`

Thus, the spread of the given data is 21.

(C) The given data set is:

73,84,89,88,77,91,87,90

Arranging the given data in ascending order, we have

73, 77, 84, 87, 88, 89, 90, 91

The range is given as:

`R=91-73=18`

Thus, the spread of the given data is 18.

(D) The given data set is:

84,89,88,82,91,87,99

Arranging the given data in ascending order, we have

82, 84, 87, 88, 89, 91, 99

The range is given as:

`R=99-82=17`

Thus, the spread of the given data is 17.

Therefore, set B has the greatest spread that is 21.