Fact
Fib
The center of Lily's data is approximately 50 minutes, which is the median of the data.
The center of Alessandra's data is approximately 60 minutes, which is the median of the data.
The interquartile range (IQR) of Lily's data is the difference between the third quartile (Q3) and the first quartile (Q1).
To find Q1 and Q3, we can count the number of data points and their positions in the double dot plot.
We see that Q1 is between 45 and 50 minutes, and Q3 is between 60 and 65 minutes.
Therefore, the IQR is approximately 15-20 minutes.The interquartile range (IQR) of Alessandra's data is the difference between the third quartile (Q3) and the first quartile (Q1).
To find Q1 and Q3, we can count the number of data points and their positions in the double dot plot. We see that Q1 is between 55 and 60 minutes, and Q3 is between 65 and 70 minutes.
Therefore, the IQR is approximately 5-10 minutes.
Fib.
From the double dot plot, we can see that there are more data points above 50 minutes for Alessandra, but Lily also has several data points above 50 minutes, and there are more data points clustered around 45-50 minutes for Lily.
Therefore, we cannot definitively conclude that Alessandra practices more than Lily based on this data.
Fib.
Consistency in practicing would mean that the data points are clustered closely together, which would result in a smaller interquartile range (IQR).
From our calculations in parts 5 and 6, we see that Alessandra's IQR is actually smaller than Lily's IQR, indicating that Alessandra's practice data is less variable and more consistent than Lily's practice data.