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 .

Let's analyze the information provided step by step: 1. **Total Keychains Made**: Colette made a total of \( n = 111 \) keychains. 2. **Mean Number of Beads**: The mean number of beads per keychain is given as \( \bar{x} = 7.7 \). 3. **Mean Absolute Deviation (MAD)**: The mean absolute deviation is given as \( \text{MAD} \approx 2.11 \). ### Conclusions from the Data: 1. **Average Number of Beads**: - The average number of beads per keychain is approximately \( 7.7 \), which can be rounded to \( 8 \). - Therefore, the statement "The average number of beads per keychain was about 8" is **true**. 2. **Variation in Number of Beads**: - The mean absolute deviation of \( 2.11 \) indicates that, on average, the number of beads used per keychain varies by about \( 2.11 \) 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 \( 2.11 \) is close to \( 2 \)). ### 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.