Skip to main content
Table of Contents

Percentile Walkthrough Using Actual Speed Log Data (85th percentile)

Speed percentile calculation method for traffic engineering: Aggregating binned vehicle speeds to derive 25th, 50th, 85th percentiles

Dylan Solberg
Updated by Dylan Solberg

TraffiCalm Pelco Solutions

This guide will walk you through calculating the percentile from speed bins captured during a given time period

Speed performance metrics for this deployment are derived from aggregated (binned) vehicle speed data recorded in defined speed ranges over fixed time intervals. The primary evaluation metric, the 85th percentile speed, is calculated using standard grouped-data traffic engineering methods based on cumulative frequency and linear interpolation within the percentile bin. This approach is widely accepted in FHWA and DOT speed-management studies when individual vehicle records are not retained. The bin resolution used provides sufficient accuracy for before-and-after speed analysis and effectiveness reporting, consistent with FHWA guidance and common practice for speed feedback sign evaluations. Raw per-vehicle speed records are not required for FHWA compliance, and the summarized speed distributions provided are adequate to assess changes in operating speeds and driver behavior.

TC Speed connect will automatically compute the 85th, 50th, & 25th percentile speed

Below is an example of how to calculate the 85th percentile manually

Speed Log example sheet

Above is the speed log we will be using for this example


1. Aggregate the Speed Bins (From the Spreadsheet)

Summing all 15-minute intervals across the file yields the following total vehicle counts by speed bin:

Speed Bin (mph)

Count (f)

Under 1

0

1–3

0

4–6

250

7–9

1,071

10–12

1,108

13–15

773

16–17

329

18–20

87

21–23

13

30 and Over

38


2. Total Vehicle Count (N)


3. Cumulative Frequency Table

Speed Bin

Lower Bound (L)

Upper Bound (U)

Width (w)

Count (f)

Cumulative (C)

4–6

4

6

2

250

250

7–9

7

9

2

1,071

1,321

10–12

10

12

2

1,108

2,429

13–15

13

15

2

773

3,202

16–17

16

17

1

329

3,531

18–20

18

20

2

87

3,618

21–23

21

23

2

13

3,631

30+

30

35

5

38

3,669

(Bins below 4 mph had zero counts and are omitted for clarity.)


4. Percentile Index Calculations

25th Percentile

50th Percentile (Median)

85th Percentile


5. Identify the Percentile Bins

Percentile

Index (k)

Bin

25th

917.25

7–9 mph

50th

1834.5

10–12 mph

85th

3118.65

13–15 mph


6. Interpolate Within Each Bin

Formula Used (Grouped Data Interpolation)


25th Percentile (7–9 mph bin)


50th Percentile (10–12 mph bin)


85th Percentile (13–15 mph bin)


7. Final Reportable Results (DOT-Ready)

25th Percentile Speed: 8.25 mph

50th Percentile (Median) Speed: 10.93 mph

85th Percentile Speed: 14.78 mph


Was this helpful?

TC Speed Connect User Guide (LEGACY)

TC Speed Connect (Web) Speed log

Contact