Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Our Q&A platform offers reliable and thorough answers to help you make informed decisions quickly and easily.

Without making any calculations, which distribution of data has the largest standard deviation?

A. [tex]\(1, 1, 1, 1, 4, 4, 7, 7, 7, 7\)[/tex]

B. [tex]\(1, 1, 1, 4, 4, 4, 4, 7, 7, 7\)[/tex]

C. [tex]\(1, 1, 4, 4, 4, 4, 4, 4, 7, 7\)[/tex]

D. [tex]\(1, 4, 4, 4, 4, 4, 4, 4, 4, 7\)[/tex]

Sagot :

GinnyAnsweridn
To determine which distribution of data has the largest standard deviation, we should compare the standard deviations of each distribution.

Here are the distributions and their respective standard deviations:

1. Distribution: [tex]\(1, 1, 1, 1, 4, 4, 7, 7, 7, 7\)[/tex]
- Standard Deviation: Approximately 2.683

2. Distribution: [tex]\(1, 1, 1, 4, 4, 4, 4, 7, 7, 7\)[/tex]
- Standard Deviation: Approximately 2.324

3. Distribution: [tex]\(1, 1, 4, 4, 4, 4, 4, 4, 7, 7\)[/tex]
- Standard Deviation: Approximately 1.897

4. Distribution: [tex]\(1, 4, 4, 4, 4, 4, 4, 4, 4, 7\)[/tex]
- Standard Deviation: Approximately 1.342

Comparing these standard deviations:
- The first distribution has a standard deviation of 2.683.
- The second distribution has a standard deviation of 2.324.
- The third distribution has a standard deviation of 1.897.
- The fourth distribution has a standard deviation of 1.342.

The largest standard deviation is 2.683, which corresponds to the first distribution: [tex]\(1, 1, 1, 1, 4, 4, 7, 7, 7, 7\)[/tex].

Thus, the distribution [tex]\(1, 1, 1, 1, 4, 4, 7, 7, 7, 7\)[/tex] has the largest standard deviation.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.