Let's go through each part of the problem step by step.

Part A: Completing the sentence about medians and ranges

• Median comparison: Based on typical box plots, the median is the line inside the box. Depending on how these medians are positioned in the plot, we can make a statement about whether Miguel’s median is greater than, less than, or equal to Shona’s.
• Range comparison: The range is the difference between the maximum and minimum values (length of the entire box plot). We would look at both ranges to determine if Miguel’s range is greater than, less than, or equal to Shona’s.

Since I can't see the exact plots, you need to compare these visually from your box plot to fill in:

• The median of Miguel's data is [greater than / less than / equal to] the median of Shona's data.
• The range of Miguel's data is [greater than / less than / equal to] the range of Shona's data.

Part B: Percentage of Miguel's data greater than Shona's median

In this case, since Shona's median splits her data into two equal parts, you can compare Miguel's data distribution. Normally, for box plots:

• 25% of the data is between the 3rd quartile (top of the box) and maximum.
• 50% of Miguel's data is greater than his own median.

You need to use this information to select:

• Approximately [25% / 50% / 75%] of Miguel’s data values are greater than the median of Shona’s data.

Part C: Statements about the data

Let's go through the given statements and decide which are likely true based on typical box plot analysis:

• A: For approximately 15 days, Miguel sent 50 or more text messages per day.
  • Check if the box plot shows 50 or more texts being sent on around 15 days.
• B: There was at least one day on which Shona sent 40 text messages.
  • Check if Shona’s minimum or maximum reaches or exceeds 40.
• C: Shona and Miguel each sent 25 text messages on the same day.
  • This would only be possible if both box plots overlap at 25.
• D: The number of days on which Shona sent more text messages than Miguel is greater than 30.
  • You can determine this by comparing the medians.
• E: For at least 5 days, Shona sent 55 or more text messages per day.
  • Check if Shona’s data extends beyond 55 for at least 5 days (roughly 8% of the box plot).

Part D: Identifying outliers

Outliers are determined using the interquartile range (IQR). Here’s the process:

1. Find IQR: This is the difference between the third quartile (Q3) and the first quartile (Q1).
2. Multiply IQR by 1.5.
3. Upper limit: Q3 + 1.5 * IQR.
4. Lower limit: Q1 - 1.5 * IQR.

Based on this method, any number outside the upper or lower limits is considered an outlier. The values given are