Question

1. shade in the data set that shows the range with the greatest variation.

a 34, 56, 21, 56, 67, 45
b 23, 61, 57, 58, 45, 64
c 29, 68, 45, 65, 24, 67
d 32, 32, 65, 43, 56, 18

1. shade in the data set that shows the range with the greatest variation.

a 12, 87, 45, 67, 88, 32
b 43, 91, 37, 14, 87, 35
c 36, 54, 85, 15, 24, 89
d 99, 22, 48, 20, 56, 18

Explanation:

Step1: Recall range formula

The range of a data - set is calculated as $Range = Max - Min$, where $Max$ is the maximum value in the data - set and $Min$ is the minimum value.

Step2: Calculate range for data - set A in question 3

For data - set A: $34,56,21,56,67,45$, $Max = 67$, $Min = 21$, so $Range_A=67 - 21=46$.

Step3: Calculate range for data - set B in question 3

For data - set B: $23,61,57,58,45,64$, $Max = 64$, $Min = 23$, so $Range_B=64 - 23 = 41$.

Step4: Calculate range for data - set C in question 3

For data - set C: $29,68,45,65,24,67$, $Max = 68$, $Min = 24$, so $Range_C=68 - 24=44$.

Step5: Calculate range for data - set D in question 3

For data - set D: $32,32,65,43,56,18$, $Max = 65$, $Min = 18$, so $Range_D=65 - 18 = 47$.

Step6: Determine the answer for question 3

Since $47>46>44>41$, the data - set with the greatest range in question 3 is D.

Step7: Calculate range for data - set A in question 4

For data - set A: $12,87,45,67,88,32$, $Max = 88$, $Min = 12$, so $Range_A=88 - 12 = 76$.

Step8: Calculate range for data - set B in question 4

For data - set B: $43,91,37,14,87,35$, $Max = 91$, $Min = 14$, so $Range_B=91 - 14=77$.

Step9: Calculate range for data - set C in question 4

For data - set C: $36,54,85,15,24,89$, $Max = 89$, $Min = 15$, so $Range_C=89 - 15 = 74$.

Step10: Calculate range for data - set D in question 4

For data - set D: $99,22,48,20,56,18$, $Max = 99$, $Min = 18$, so $Range_D=99 - 18=81$.

Step11: Determine the answer for question 4

Since $81>77>76>74$, the data - set with the greatest range in question 4 is D.

Answer:

1. D. $32,32,65,43,56,18$
2. D. $99,22,48,20,56,18$