Using the numbers listed in the "Boxplot 1" data file, please calculate the first quartile in Excel (to three decimal places).

Question

BlackTom AI · Accepted Answer

This item asks you to compute the first quartile (Q1) from the Boxplot 1 data using Excel, but the essential data file named 'Boxplot 1' is not provided here, so the actual numeric result cannot be determined.

To proceed when you have the data:
- Step 1: Place the Boxplot 1 data into a single column or row in Excel, ensuring each data point occupies its own cell.
- Step 2: In a separate cell, decide whether you want to use inclusive or exclusive quartiles. Excel offers two common options: QUARTILE.INC (inclusive) and QUARTILE.EXC (exclusive).
  - If you choose inclusive quartiles (which is the default in many analyses), the first quartile is at position 0.25 in the sorted data.
  - If you choose exclusive quartiles, the first quartile corresponds to a slightly different positioning (0.25) but computed via the exclusive method.
- Step 3: Use the appropriate function to compute Q1:
  - For inclusive quartiles: =QUARTILE.INC(range, 1) or =PERCENTILE.INC(range, 0.25)
  - For exclusive quartiles: =QUARTILE.EXC(range, 1) or =PERCENTILE.EXC(range, 0.25)
- Step 4: Press Enter; the result will appear in the cell. To report to three decimal places, apply a number format of 3 decimals or wrap the result in a rounding function like =ROUND(QUARTILE.INC(range,1),3).
- Step 5: If your data contain ties or are highly skewed, remember that Q1 represents the 25th percentile of the data, so the exact value depends on the chosen method (inclusive vs exclusive) and the data ordering.

Important notes:
- Without the Boxplot 1 data, there is no numeric Q1 to report here. Once you provide the data file (or paste the numbers), you can apply the above steps to obtain Q1 to three decimals.
- If you’re using Excel 365 or a newer version, you can also use the dynamic array approach: sort the data and pick the value at the 25th percentile using =PERCENTILE.INC(range, 0.25) and then format to three decimals.
- If the data are already summarized in the boxplot (minimum, Q1, median, Q3, maximum) and you only have Q1 as a given, you would not need to recalculate it; you would simply report that provided Q1 value in three decimals, but that scenario requires the actual value from the file.

In summary, the key missing piece is the actual numeric data from the 'Boxplot 1' file. Once available, you can compute Q1 to three decimals with a straightforward Excel formula and proper rounding or formatting.

Using the numbers listed in the "Boxplot 1" data file, please calculate the first quartile in Excel (to three decimal places).

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