On this page of Benford's Law Stocks.com we present our study of CRA INTERNATIONAL, INC. — ticker symbol CRAI. SEC filings have been screened by our Benford's Law software, for quarterly 10Q and annual 10K filings from 7/30/2020 to 5/1/2025 for CRA INTERNATIONAL, INC. under CIK number 0001053706. For filings made in XBRL (eXtensible Business Reporting Language) format, our algorithm extracts all "tagged" numbers presented by the company; for any non-XBRL filings our algorithm uses its own interal set of rules to extract what it believes to be numbers as found throughout the filings. The format found for each filing is presented below together with the results for CRAI, with the percentage of found numbers beginning with each digit (1's, 2's, 3's, 4's, 5's, 6's, 7's, 8's, and 9's) charted against the "normal" range observed throughout our coverage universe, as well as the "normal" range for CRA INTERNATIONAL, INC. based on the past CRAI filings our system processed in the past.
35.8
17.3
7.2
6.6
7.8
10.1
5.8
4.3
4.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
XBRL?   [ original filing, CRAI stockholder letter ]
Total numbers found: 346
Recent share count: 6,808,872 (6's column)

= Typical range across full coverage universe
Benford's Law Stocks Indicator
346
Low count compared to other filers, falling in the bottom quartile. At this number count, it would take about 3 numbers to move any given column by a full percentage point.
75

Starting from a possible score of 100, we made the following score deductions:
 • We deducted point upon observing the 1's percentage was above the typical coverage universe range.
 • We deducted point upon observing the 1's percentage was above the company's typical historical range.
 • We deducted points upon observing the 3's percentage was below the typical coverage universe range.
 • We deducted point upon observing the 3's percentage was below the company's typical historical range.
 • We deducted point upon observing the 4's percentage was below the typical coverage universe range.
 • We deducted point upon observing the 4's percentage was below the company's typical historical range.
 • The 5's percentage was higher than the 4's percentage, increasing the penalty multiplier.
 • The 6's percentage was higher than the 5's percentage, increasing the penalty multiplier.
 • However, because we observed that the company's shares outstanding count begins with the digit 6, we canceled the penalty multiplier.
 • We deducted points upon observing the 6's percentage was above the typical coverage universe range.
 • We deducted points upon observing the 6's percentage was above the company's typical historical range.
 • The 9's percentage was higher than the 8's percentage, increasing the penalty multiplier.
 • This is the 2nd column with percentage higher than the prior column, resulting in a penalty deduction.
Benford's Law Stocks Indicator
CRAI
Normal score compared to other filers, falling within the middle 50%.
BYRN
CHRW
CSLM
DSGN
CASY
CIVB
CSCO
DGLY
Check our work! We provide our CRA INTERNATIONAL, INC. Benford's Law analysis for informational purposes only, and our software should be expected to make mistakes and contain errors (nothing you see on this website should be relied upon for any decision-making without first repeating the analysis yourself independently), and so below we present to you all of the numbers our system detected, for the CRAI filing above. This way, you can open the filing on your own and compare what you see below against what you yourself find. This can also be helpful for exploring any columns in particular that caught your eye.

1's 2's 3's
We found 124 numbers that start with the digit 1. Here they are:
181,851
171,789
120,354
118,880
19,618
142
19,012
18,002
13,691
1.97
1.95
18,002
13,691
1,743
1,105
19,745
12,586
140,326
162,293
1,382
1,411
17,744
16,569
11,527
17,736
16,648
19,703
134,439
181,413
10,379
14,130
18,986
18,696
1,996
10,440
1,226
1,187
108,057
1,000,000
1,663
13,308
15,051
18,002
13,691
1,025
157
1,390
1,039
13,623
1,631
1,113
1,955
1,534
131
1,663
15,051
18,002
18,002
1,743
1,743
1,390
1,390
13,462
14
14
13,308
12,182
13,691
13,691
1,105
1,105
1,039
1,039
12,526
1,631
1,631
13,287
151,522
141,707
181,851
171,789
149,714
142,204
181,851
171,789
16,506
17,061
140,326
162,293
142,729
195
138
11,527
165,630
166.0
15,300
15,300
1.5
106,520
167,899
159
15,764
11,119
134,439
181,413
144.2
18,002
13,691
17,955
13,645
1.97
1.95
190
190
181,851
171,789
112,798
105,149
16,506
17,061
18,002
13,691
18,002
13,691
We found 60 numbers that start with the digit 2. Here they are:
2,792
25,548
24,645
2.65
2.62
25,598
26,711
278,120
269,363
28,155
270,503
251,309
22,329
25,000,000
240,028
225,461
227,319
212,073
2,792
208
22,456
2,529
25,202
294
2,552
20,219
2,834
2,383
2,454
26,711
25,598
225,461
212,073
2,454
2,454
240,028
227,319
224,283
212,101
225,077
211,790
23,124
21,154
2,325
2,847
27,431
2,761
2,959
2,236
27.0
28.0
2.65
2.62
250.0
200.0
250.0
25.0
2.5
21,250
24,795
We found 25 numbers that start with the digit 3. Here they are:
32,538
30,499
3,411
3,411
3,851
3,565
3,488
3,075
37,122
39
3,181
34,780
39
39
3,488
3,488
33,441
3,075
3,075
30,329
30,082
31,055
3
3.0
3.9
4's 5's 6's
We found 23 numbers that start with the digit 4. Here they are:
429
464
474
42,785
45,205
48,957
433
4,692
4,423
45,586
454
49
42
433
4,228
4,703
45,494
48,957
402
4
47
46
49
We found 27 numbers that start with the digit 5. Here they are:
5,321
5,896
5,659
57,255
590,442
571,439
599
590,442
571,439
52
523
5,000
56,052
596
5,714
5,569
599
592
57,255
56,827
5.12
55,492
53,941
55,492
5.7
5,772
5,321
We found 35 numbers that start with the digit 6. Here they are:
6,808,872
6,643
6,775
6,926
6,862
6,535
6,834
64,339
6,789,893
6,768,575
663
69,302
63,080
65
6,768,575
6,789,893
6,934,265
65,882
65
65
6,889,298
663
6,037
6,290
600
6,652
6,535
64,339
6,834
66.7
6,775
6,926
6,862
6,652
6,643
7's 8's 9's
We found 20 numbers that start with the digit 7. Here they are:
7,011
7,216
78,653
7,836
79,994
730
730
70,000
79,058
797
706
701
77
77
7,340
75,866
71,893
71.9
7,216
7,011
We found 15 numbers that start with the digit 8. Here they are:
82,925
81,157
8,915
85,000
80,954
84,541
81,579
8,464
8,431
82,925
8,466
8,084
87
85
85.0
We found 17 numbers that start with the digit 9. Here they are:
94,139
93,737
9,156
92,620
974
974
90,000
9,242
91
9,834
9,242
9,013
9,989
93,737
94,139
9,196
944
While the above CRAI 10Q Filed 5/1/2025 is interesting in isolation, we have found that it is also useful to take a look at older CRA INTERNATIONAL, INC. filings processed by our Benford's Law Stocks algorithm, to see how the company's filings "typically look" on a Benford's Law analysis. Below we repeat the 10Q Filed 5/1/2025 but instead of the chart comparing against the typical company across our coverage universe, below we show the same chart compared against the typical CRAI 10Q and 10K filings that we have processed historically. This is followed by similar charts for each of those historical filings.

35.8
17.3
7.2
6.6
7.8
10.1
5.8
4.3
4.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 75
XBRL?   [ original filing ]
Total numbers found: 346

= Typical CRAI range from 7/30/2020 to 5/1/2025
30.9
20.8
10.8
5.7
6.1
10.6
5.5
3.6
5.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 69
XBRL?   [ original filing ]
Total numbers found: 472

= Typical CRAI range from 7/30/2020 to 5/1/2025
33.4
19.0
12.0
9.0
4.6
3.9
7.2
5.2
5.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 90
XBRL?   [ original filing ]
Total numbers found: 542

= Typical CRAI range from 7/30/2020 to 5/1/2025
27.1
20.3
8.4
11.3
11.0
5.1
6.6
4.7
5.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 78
XBRL?   [ original filing ]
Total numbers found: 763

= Typical CRAI range from 7/30/2020 to 5/1/2025
37.1
18.8
6.9
10.0
7.5
5.0
5.5
5.8
3.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 361

= Typical CRAI range from 7/30/2020 to 5/1/2025
31.6
19.2
9.0
7.7
9.2
4.6
10.0
4.6
4.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 478

= Typical CRAI range from 7/30/2020 to 5/1/2025
32.5
15.1
10.5
7.6
8.7
6.6
8.1
6.3
4.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 94
XBRL?   [ original filing ]
Total numbers found: 542

= Typical CRAI range from 7/30/2020 to 5/1/2025
29.6
18.4
8.9
12.4
9.1
9.1
5.5
3.4
3.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 69
XBRL?   [ original filing ]
Total numbers found: 739

= Typical CRAI range from 7/30/2020 to 5/1/2025
37.3
16.2
6.7
6.1
7.6
7.0
7.3
6.1
5.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 81
XBRL?   [ original filing ]
Total numbers found: 327

= Typical CRAI range from 7/30/2020 to 5/1/2025
33.3
20.9
10.3
8.0
6.0
4.9
7.6
3.3
5.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 487

= Typical CRAI range from 7/30/2020 to 5/1/2025
33.0
19.0
9.9
11.7
6.1
3.1
8.3
4.3
4.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 78
XBRL?   [ original filing ]
Total numbers found: 557

= Typical CRAI range from 7/30/2020 to 5/1/2025
26.1
20.2
10.6
9.9
9.9
5.6
7.1
6.2
4.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 93
XBRL?   [ original filing ]
Total numbers found: 744

= Typical CRAI range from 7/30/2020 to 5/1/2025
30.8
19.6
8.3
7.0
7.8
6.7
8.6
7.2
4.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 86
XBRL?   [ original filing ]
Total numbers found: 373

= Typical CRAI range from 7/30/2020 to 5/1/2025
29.8
14.1
11.9
9.3
10.1
5.6
9.3
6.2
3.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 87
XBRL?   [ original filing ]
Total numbers found: 504

= Typical CRAI range from 7/30/2020 to 5/1/2025
33.6
19.4
10.9
7.5
5.6
7.5
4.8
5.6
5.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 521

= Typical CRAI range from 7/30/2020 to 5/1/2025
28.6
18.4
8.4
12.8
10.0
6.9
6.4
4.0
4.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 77
XBRL?   [ original filing ]
Total numbers found: 752

= Typical CRAI range from 7/30/2020 to 5/1/2025
39.8
18.2
5.9
7.6
7.3
3.4
6.2
5.6
6.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 74
XBRL?   [ original filing ]
Total numbers found: 357

= Typical CRAI range from 7/30/2020 to 5/1/2025
33.2
21.6
8.7
8.7
6.6
4.5
9.5
4.1
3.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 86
XBRL?   [ original filing ]
Total numbers found: 485

= Typical CRAI range from 7/30/2020 to 5/1/2025
31.5
18.4
9.3
7.4
9.6
4.6
9.1
3.7
6.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 75
XBRL?   [ original filing ]
Total numbers found: 539

= Typical CRAI range from 7/30/2020 to 5/1/2025
25.1
23.7
14.1
8.8
7.7
5.0
5.7
6.2
3.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 86
XBRL?   [ original filing ]
Total numbers found: 822

= Typical CRAI range from 7/30/2020 to 5/1/2025
 

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