Summarize numerical measurements

Review the center, spread and shape of a numeric column, with optional group summaries.

Guides · Basic statistics · 4 min read

Example: packing time by zone

90 orders: 30 from each of three packing zones; three numerical measurements per order.

Download the example data (CSV)

This is the same example used in Help. Import the CSV to follow the steps, or use Open example in a practice copy in Help to prefill the inputs.

1. Create the workspace

In the sidebar, open Basic Statistics and choose Display Descriptive Statistics. Create an analysis, name it, select New blank worksheet, then choose Create analysis.

2. Import the example data

Download the CSV above and import it into the worksheet. Choose Comma as the delimiter, Dot as the decimal separator and First row contains column names.

3. Assign the input columns

On Inputs, open Variable and select packing_time_s. Enter packing_time_s in Display name (optional). Check Summarize by groups, then assign packing_zone to Grouping variable (optional).

4. Set the summaries and plots

Enter 0.05 in Trimming proportion per tail. This requests 5% trimming from each end. Open Plot options and check Include histogram, Include boxplot and Include individual value plot.

Display Descriptive Statistics: Inputs with the example’s assignments and settings
Inputs with the example columns and settings before running the analysis. View full-size image (opens in a new tab)

5. Run analysis

Choose Run analysis, then open Results.

6. Interpret results

  1. Check what was summarized

    The data contain 90 orders: 30 from each of three packing zones, with no missing measurements. The group table separates the zones. All three charts combine the 90 orders.

  2. Read the center

    The overall mean is 150.57 s and median 152.90 s. The mean is the average; the median splits the ordered values in half.

  3. Read the spread

    The standard deviation is 45.24 s. It describes variation between orders, not uncertainty in the average. Read the range and quartiles alongside it before comparing zones.

  4. Compare the zones

    The zone means are Mixed_orders 147.40 s, Accessories 163.90 s and Small_parts 140.42 s. Each has 30 orders. The pooled average combines these different order mixes.

  5. Read the histogram

    Each bar counts orders in a value interval. Read the horizontal axis in the measurement unit and look at the overall shape and spread. These are observed counts; they do not give the probability for a future order.

    packing_time_s — Histogram
    Packing time (seconds) across all 90 orders; the three packing zones are pooled. View full-size chart (opens in a new tab)
  6. Read the boxplot

    The box contains the middle half of the measurements, with a line at the median. The observed values range from 59.90–252.50 s; no values cross the 1.5 × IQR fences. The fences describe this sample, not customer acceptance limits.

    packing_time_s — Boxplot
    Packing time (seconds) across all 90 orders; the three packing zones are pooled. View full-size chart (opens in a new tab)
  7. See the individual values

    Each point represents one order. Values are sorted along the measurement axis; vertical spacing separates them. This plot shows neither collection order nor separate zone distributions.

    packing_time_s — Individual value plot
    Packing time (seconds) across all 90 orders; the three packing zones are pooled. View full-size chart (opens in a new tab)
  8. Choose the next comparison

    Compare order size and packing requirements before attributing a zone’s longer average time to its workers.

More details: read each result section

Complete result tables use six significant digits, as in Help.

packing_time_s — Descriptive statistics

Counts and center: Non-missing, Missing and Total describe available values. Mean is the average; Median is the middle ordered value. Trimmed mean excludes 5% from each tail using the app’s convention.

Spread and uncertainty: SD describes spread in the measurement unit; Variance is SD squared. Min, Max and Range describe extremes. Q1 and Q3 bound the middle half; IQR is their difference. Standard error describes uncertainty in the mean, not spread between orders. See Additional descriptive measures for the remaining definitions.

packing_time_s — Descriptive statistics · 21 rows
StatisticValue
Non-missing count90
Missing count0
Total count90
Mean150.572
Median152.9
Trimmed mean150.44
Standard deviation45.2425
Variance2046.89
Standard error4.76898
Coefficient of variation (%)30.0471
Minimum59.9
Q1113.775
Q3185.275
Interquartile range71.5
Maximum252.5
Range192.6
Sum13551.5
Sum of squares2222650
Skewness0.041393
Kurtosis-0.917575
Mean square successive difference2325.34

packing_time_s — Group summaries

Group is the packing-zone label; n and Missing count usable and missing measurements. Mean and SD describe each zone separately. Percent and Cumulative % describe shares of the included observations in the displayed group order; they are not performance rates.

Percents are relative to non-missing measurements; group order follows first appearance.

packing_time_s — Group summaries · 3 rows
GroupnMissingMeanSDPercentCumulative %
Mixed_orders300147.40346.840733.333333.3333
Accessories300163.89740.405633.333366.6667
Small_parts300140.41746.415733.3333100

Descriptive calculation methods

These rows name the quartile, skewness and excess-kurtosis conventions. Keep them with the report when comparing summaries from different software. Quartiles use interpolation at (n + 1)p with endpoint clamping.

Descriptive calculation methods · 3 rows
StatisticValue
QuartilesInterpolation at (n + 1)p with endpoint clamping
SkewnessAdjusted Fisher–Pearson
KurtosisBias-corrected excess kurtosis

packing_time_s — Modes

Each row lists a value tied for the greatest recorded frequency. Rounding can create repeated values; a mode is not a target setting.

packing_time_s — Modes · 3 rows
Mode
144.7
157.8
174.1

packing_time_s — Histogram summary

Bins is the interval count; Bin width is in the measurement unit. Scale is frequency, so bar heights count orders. Keep these settings with the chart because changing bins changes its appearance.

packing_time_s — Histogram summary · 3 rows
StatisticValue
Bins12
Bin width20
Scalefrequency

packing_time_s — Boxplot summary

Q1, Median and Q3 describe the ordered values. IQR is Q3 minus Q1. Fences are Q1 minus 1.5 × IQR and Q3 plus 1.5 × IQR; whiskers end at the most extreme observations inside them. Fence values can fall outside the physical data range. They are not acceptance limits.

packing_time_s — Boxplot summary · 8 rows
StatisticValue
Lower whisker59.9
Q1113.775
Median152.9
Q3185.275
Upper whisker252.5
IQR71.5
Lower fence6.525
Upper fence292.525

Additional descriptive measures

Coefficient of variation is SD as a percentage of the mean. Sum and Sum of squares are arithmetic totals. Skewness describes asymmetry and excess Kurtosis describes tail shape. Mean square successive difference uses neighboring worksheet values, so it depends on row order. The app’s quartile and trimming conventions remain in Descriptive calculation methods.

7. Create a report

Keep the overall Descriptive statistics, Group summaries, Modes, calculation methods, histogram settings, boxplot summary and all three charts. Include the units and explain that the charts pool the zones.

Choose Add to report from the completed run. Open Choose individual items and advanced options to select tables and charts, then choose Add to draft. Hidden items stay in the saved analysis.

Name the report and add the purpose of the study and your interpretation. Choose Save, review Preview, then use Export → Download HTML. The example below contains the full selected content, including results beyond one screen.

Complete native output for this Help example, including applicable tables, charts and run notes. Report numbers use the app’s displayed precision. Exported charts are static. On narrow screens, scroll wide charts and tables sideways.
View example report: Summarize packing time by zone

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