To determine which data set has a greater spread, we need to calculate the range for each set. The range is found by subtracting the minimum value in the set from the maximum value in the set.
Let’s start with Set A: {38, 12, 23, 48, 55, 16, 18}
- The minimum value in Set A is 12.
- The maximum value in Set A is 55.
- The range for Set A is calculated as 55 - 12 = 43.
Next, let’s look at Set B: [44, 13, 24, 12, 56]
- The minimum value in Set B is 12.
- The maximum value in Set B is 56.
- The range for Set B is calculated as 56 - 12 = 44.
Comparing the ranges:
- The range of Set A is 43.
- The range of Set B is 44.
Since the range of Set B (44) is greater than the range of Set A (43), Set B has the greater spread.
Therefore, the correct selections are:
- Set B
- has a greater spread because
- it has a larger range than Set A.
