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18. During the next​ game, Tesha and Devin each bowl 181. Do those scores change your opinion about the better bowler​? Explain. Use a measure of center and variability in your explanation.

​(Type integers or​ decimals.)
No,
Tesha​'s mean score is now 190.9190.9 and Devin​'s mean score is now 181181. ​So, Tesha​'s mean score is
greater than
Devin​'s mean score. Tesha​'s range
stays the same
and is now 9696​, and her IQR is now 50.550.5. Devin​'s range
stays the same
and is now 4646​, and his IQR is 20.520.5.

1 Answer

5 votes

Final answer:

Based on the provided statistics, Tesha has a higher mean score than Devin and shows more variability, indicating she might achieve higher but less consistent scores. Devin's lower variability suggests consistent performance, but at a lower scoring level.

Step-by-step explanation:

To determine whether Tesha or Devin is the better bowler after they have both bowled a 181, we need to consider measures of center such as the mean score and measures of variability including range and the interquartile range (IQR). Based on the information provided:

  • Tesha's new mean score is 190.9.
  • Devin's new mean score is 181.
  • Tesha's range remains at 96.
  • Tesha's IQR is now 50.5.
  • Devin's range remains at 46.
  • Devin's IQR is now 20.5.

With these statistics, we can see that Tesha's mean score is still higher than Devin's, indicating that she is the better bowler on average. Additionally, Tesha's scores show more variability, suggesting she may achieve higher scores but with less consistency. Devin's scores show less variability, which might mean he is a consistently good bowler, but his consistency is at a lower scoring level than Tesha's.

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