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SP7.4 Raina planted yellow and green squash in her vegetable garden. Then she recorded the length of each squash that she harvested. Length of Yellow Squash (cm) 8 10 16 8 12 14 18 20 6 Length of Green Squash (cm) 14 14 16 12 14 13 16 13 14 Make a box plot for each data set. Use the number lines provided below. Yellow Squash Green Squash Which type of Raina's squash has a higher median length based on the box plots? 3. Based on the box plots, which type of Raina's squash would you infer has a more consistent length? Explain your reasoning. 4. Based on the box plots, which type of Raina's squash would you infer is generally shorter? Explain your reasoning.

SP77.44\newlineRaina planted yellow and green squash in her vegetable garden. Then she recorded the length of each squash that she harvested.\newline\begin{tabular}{|c|c|c|}\newline\hline \multicolumn{33}{|c|}{ Length of Yellow Squash (cm) } \\\newline\hline 88 & 1010 & 1616 \\\newline\hline 88 & 1212 & 1414 \\\newline\hline 1818 & 2020 & 66 \\\newline\hline\newline\end{tabular}\newline\begin{tabular}{|c|c|c|}\newline\hline \multicolumn{33}{|c|}{ Length of Green Squash (cm) } \\\newline\hline 1414 & 1414 & 1616 \\\newline\hline 1212 & 1414 & 1313 \\\newline\hline 1616 & 1313 & 1414 \\\newline\hline\newline\end{tabular}\newline11. Make a box plot for each data set. Use the number lines provided below.\newlineYellow Squash\newlineGreen Squash\newlineWhich type of Raina's squash has a higher median length based on the box plots?\newline33. Based on the box plots, which type of Raina's squash would you infer has a more consistent length? Explain your reasoning.\newline44. Based on the box plots, which type of Raina's squash would you infer is generally shorter? Explain your reasoning.

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Q. SP77.44\newlineRaina planted yellow and green squash in her vegetable garden. Then she recorded the length of each squash that she harvested.\newline\begin{tabular}{|c|c|c|}\newline\hline \multicolumn{33}{|c|}{ Length of Yellow Squash (cm) } \\\newline\hline 88 & 1010 & 1616 \\\newline\hline 88 & 1212 & 1414 \\\newline\hline 1818 & 2020 & 66 \\\newline\hline\newline\end{tabular}\newline\begin{tabular}{|c|c|c|}\newline\hline \multicolumn{33}{|c|}{ Length of Green Squash (cm) } \\\newline\hline 1414 & 1414 & 1616 \\\newline\hline 1212 & 1414 & 1313 \\\newline\hline 1616 & 1313 & 1414 \\\newline\hline\newline\end{tabular}\newline11. Make a box plot for each data set. Use the number lines provided below.\newlineYellow Squash\newlineGreen Squash\newlineWhich type of Raina's squash has a higher median length based on the box plots?\newline33. Based on the box plots, which type of Raina's squash would you infer has a more consistent length? Explain your reasoning.\newline44. Based on the box plots, which type of Raina's squash would you infer is generally shorter? Explain your reasoning.
  1. Organize data for yellow squash: First, let's organize the data for the yellow squash in ascending order: 6,8,8,10,12,14,16,18,206, 8, 8, 10, 12, 14, 16, 18, 20.
  2. Find median for yellow squash: Now, let's find the median (the middle number) for the yellow squash: The median is the 5th5^{\text{th}} number in the ordered list, which is 1212 cm.
  3. Organize data for green squash: Next, let's organize the data for the green squash in ascending order: 12,13,13,14,14,14,14,16,1612, 13, 13, 14, 14, 14, 14, 16, 16.
  4. Find median for green squash: Now, let's find the median for the green squash: The median is the 5th5^{th} number in the ordered list, which is 14 cm14\,\text{cm}.
  5. Compare medians: Comparing the medians, the green squash has a higher median length of 14 cm14\,\text{cm} compared to the yellow squash's median of 12 cm12\,\text{cm}.
  6. Calculate IQR for yellow squash: To determine consistency, we need to look at the interquartile range (IQR) for each type of squash. The IQR is the range between the first quartile (Q1Q_1) and the third quartile (Q3Q_3).
  7. Calculate IQR for green squash: For the yellow squash, Q1Q1 is the median of the first half of the data, which is 88, and Q3Q3 is the median of the second half of the data, which is 1616. So, IQR=Q3−Q1=16−8=8IQR = Q3 - Q1 = 16 - 8 = 8 cm.
  8. Compare consistency: For the green squash, Q1Q1 is the median of the first half of the data, which is 1313, and Q3Q3 is the median of the second half of the data, which is 1414. So, IQR=Q3−Q1=14−13=1 cm.IQR = Q3 - Q1 = 14 - 13 = 1 \, \text{cm}.
  9. Determine shorter squash: Since the IQR for the green squash is smaller than that of the yellow squash, we can infer that the green squash has a more consistent length.
  10. Determine shorter squash: Since the IQR for the green squash is smaller than that of the yellow squash, we can infer that the green squash has a more consistent length.To determine which type of squash is generally shorter, we can compare the medians again or look at the overall spread of the data.
  11. Determine shorter squash: Since the IQR for the green squash is smaller than that of the yellow squash, we can infer that the green squash has a more consistent length.To determine which type of squash is generally shorter, we can compare the medians again or look at the overall spread of the data.Since the median of the yellow squash is 12 cm12\,\text{cm} and the median of the green squash is 14 cm14\,\text{cm}, and considering the spread of the data, we can infer that the yellow squash is generally shorter.

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