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The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale.

\begin{tabular}{|c|c|}
\hline Grade 7 & Grade 8 \\
\hline 20 & 21 \\
\hline 15 & 29 \\
\hline 30 & 14 \\
\hline 24 & 19 \\
\hline 18 & 24 \\
\hline 21 & 25 \\
\hline
\end{tabular}

The interquartile range for the grade 7 data is [tex]$\square$[/tex]. The interquartile range for the grade 8 data is [tex]$\square$[/tex]. The difference of the medians of the two data sets is [tex]$\square$[/tex]. The difference is about [tex]$\square$[/tex] times the interquartile range of either data set.



Answer :

GinnyAnswer
Sure, let’s fill in the blanks step-by-step using the data provided.

1. Interquartile Range (IQR) for the Grade 7 data:
The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
According to the values given:
- Grade 7 IQR is 4.75.
Therefore, the interquartile range for the grade 7 data is 4.75.

2. Interquartile Range (IQR) for the Grade 8 data:
Using the same method:
- Grade 8 IQR is 5.25.
Therefore, the interquartile range for the grade 8 data is 5.25.

3. Difference of the medians of the two data sets:
The median values for Grade 7 and Grade 8 need to be compared.
- The difference of the medians is 2.0.
Therefore, the difference of the medians of the two data sets is 2.0.

4. Difference as a multiple of the IQR:
To find how many times the median difference is when compared to the IQR, we have:
- The difference is about 0.4 times the interquartile range of either data set.
Therefore, the difference is about 0.4 times the interquartile range of either data set.

So, the completed sentences are:

- The interquartile range for the grade 7 data is 4.75.
- The interquartile range for the grade 8 data is 5.25.
- The difference of the medians of the two data sets is 2.0.
- The difference is about 0.4 times the interquartile range of either data set.

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