Question
Colette started making beaded keychains as gifts for her friends. Last month, she made 111 .
keychains, using between 4 and 12 beads on each. The mean number of beads on each
keychain was 7.7 , and the mean absolute deviation was aboutt 2 . 11 beads.
What can you conclude from these data and statistics? Select all that apply.
The average number of beads per kexchain was about 8 .
On average, the number of beads Colette used per kexchaim
varied by about 2 .
keychains, using between 4 and 12 beads on each. The mean number of beads on each
keychain was 7.7 , and the mean absolute deviation was aboutt 2 . 11 beads.
What can you conclude from these data and statistics? Select all that apply.
The average number of beads per kexchain was about 8 .
On average, the number of beads Colette used per kexchaim
varied by about 2 .
Ask by Munoz Matthews. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The average number of beads per keychain was about 8, and on average, the number of beads varied by about 2.
Solution
Let’s analyze the information provided step by step:
-
Total Keychains Made: Colette made a total of
keychains. -
Mean Number of Beads: The mean number of beads per keychain is given as
. -
Mean Absolute Deviation (MAD): The mean absolute deviation is given as
.
Conclusions from the Data:
-
Average Number of Beads:
- The average number of beads per keychain is approximately
, which can be rounded to . - Therefore, the statement “The average number of beads per keychain was about 8” is true.
- The average number of beads per keychain is approximately
-
Variation in Number of Beads:
- The mean absolute deviation of
indicates that, on average, the number of beads used per keychain varies by about beads from the mean. - Thus, the statement “On average, the number of beads Colette used per keychain varied by about 2” is also true (since
is close to ).
- The mean absolute deviation of
Summary of Conclusions:
- Both statements are valid based on the provided data:
- The average number of beads per keychain was about 8.
- On average, the number of beads Colette used per keychain varied by about 2.
These conclusions reflect the statistical analysis of the keychains Colette made.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
Colette’s beaded keychain project not only showcases her creativity, but also reflects some fascinating mathematical concepts at play! The mean number of beads per keychain totaling 7.7 suggests that most of her creations are quite close to that average, but thanks to the mean absolute deviation of about 2.11 beads, we can infer that while some keychains might have a few beads more or fewer, the variation remains relatively manageable.
Understanding these statistics helps Colette refine her beading process. If she noticed certain keychains with significantly higher or lower bead counts than her average, she could consider whether they were beloved by her friends or perhaps less appreciated. This way, she can create future keychains that better match her friends’ preferences while keeping within a consistent bead range!
