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

The task asks for calculating the first quartile (25th percentile) using the numbers from the "Boxplot 1" data file in Excel, and to present the result to three decimal places.

First, identify the data range in the Boxplot 1 data file. You’ll need to select all data values that contribute to the boxplot, for example A2:A100 or B2:B50, depending on where the data are listed. The exact range must be plugged into the Excel formula.

Next, choose which QUARTILE function to use. Excel provides two commonly used options:
- QUARTILE.INC(range, 1) computes the first quartile using the inclusive method (includes the endpoints for quartile calculation).
- QUARTILE.EXC(range, 1) computes the first quartile using the exclusive method (excludes the endpoints, which can yield slightly different results for small data sets).

The interpretation of the 1 in these formulas is that you want the first quartile (25th percentile). If you prefer the older PERCENTILE-style approach, you could also use PERCENTILE.INC(range, 0.25) to obtain the same concept of the 25th percentile, but the syntax differs.

In practice, you would enter one of these formulas in a cell, replacing range with your actual data range. For example, =QUARTILE.INC(A2:A100, 1) or =QUARTILE.EXC(A2:A100, 1).

To ensure the result is displayed with three decimal places, you have two common options:
- Use ROUND around the QUARTILE function, e.g., =ROUND(QUARTILE.INC(A2:A100, 1), 3).
- Or format the result cell to show three decimal places via Home > Number > Increase Decimal (set to 3) or by using a custom number format like 0.000.

If the data set is very small (for example, fewer than 5 observations), be aware that QUARTILE.EXC and QUARTILE.INC may yield different values due to their handling of endpoints; in such cases you might want to document which method you used for reproducibility.

Finally, double-check that the data range includes all relevant values and that there are no non-numeric entries (text or errors) in the chosen range, as these can cause the formula to return an error or incorrect result.

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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