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

Set C is the greatest spread because according to the data set a contains 7 Number said b also contains 7 numbers and set d also contains 7 number but the only Set C contains 8 numbers therefore this is a greatest spread

Answer 2

Set B, {89, 73, 84, 91, 87, 77, 94}

Explanation:

The spread can be found by simply calculating the range of the the given data.

For set A, the range is given by: Highest value of the set- lowest value of the set=94-74=20

For set B, the value of the range is: 94-73= 21

For set C, the value of the range is: 91-73=18

For set D, the value of the range is: 99-82=17

Since, the maximum range is given by the set B that is 21, therefore set B has the greatest spread.