Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Which data set has the greatest spread?

[tex]\[
\begin{array}{l}
\text{Set A: }\{84, 91, 87, 77, 94, 89, 74\} \\
\text{Set B: }\{89, 73, 84, 91, 87, 77, 94\} \\
\text{Set C: }\{73, 84, 89, 88, 77, 91, 87, 90\} \\
\text{Set D: }\{84, 89, 88, 82, 91, 87, 99\}
\end{array}
\][/tex]

A. Set A
B. Set B
C. Set C
D. Set D

Sagot :

GinnyAnswer
To determine which data set has the greatest spread, we need to calculate the range for each set. The range of a data set is the difference between the maximum and minimum values in the set. Here are the steps to find the range for each set and determine which set has the greatest spread:

1. Calculate the range for Set A:
- Maximum value in Set A: [tex]\( 94 \)[/tex]
- Minimum value in Set A: [tex]\( 74 \)[/tex]
- Range of Set A: [tex]\( 94 - 74 = 20 \)[/tex]

2. Calculate the range for Set B:
- Maximum value in Set B: [tex]\( 94 \)[/tex]
- Minimum value in Set B: [tex]\( 73 \)[/tex]
- Range of Set B: [tex]\( 94 - 73 = 21 \)[/tex]

3. Calculate the range for Set C:
- Maximum value in Set C: [tex]\( 91 \)[/tex]
- Minimum value in Set C: [tex]\( 73 \)[/tex]
- Range of Set C: [tex]\( 91 - 73 = 18 \)[/tex]

4. Calculate the range for Set D:
- Maximum value in Set D: [tex]\( 99 \)[/tex]
- Minimum value in Set D: [tex]\( 82 \)[/tex]
- Range of Set D: [tex]\( 99 - 82 = 17 \)[/tex]

Now that we have computed the ranges for each set:
- Range of Set A: [tex]\( 20 \)[/tex]
- Range of Set B: [tex]\( 21 \)[/tex]
- Range of Set C: [tex]\( 18 \)[/tex]
- Range of Set D: [tex]\( 17 \)[/tex]

Comparing these ranges, we see that the data set with the greatest spread is Set B, with a range of 21.

Thus, the answer is:

B. Set B
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.