year AB exams BC exams Total Calculus exams Statistics exams ...

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in BC. 5-year running average of % change in BC ratio of. AB to BC exams. 1955. 285 ... 1977. 14,089. 6,228. 20,317. 0.06567. 0.059945. 0.03991. 0.0636323.
year

1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 TOTAL

AB exams

285 380 750 1,177 1,870 2,908 3,609 4,190 5,858 7,710 9,021 9,630 10,703 11,623 10,280 10,273 10,592 10,611 9,871 11,213 11,804 13,076 14,089 15,774 17,615 20,096 22,537 23,825 26,706 30,583 36,282 40,790 47,783 54,235 60,869 64,371 71,769 77,557 85,351 93,077 103,032 105,402 111,834 117,671 127,744 137,276 146,771 157,524 166,821 175,094 185,750 2,415,668

BC exams

3,674 4,106 4,214 4,575 4,439 4,825 5,286 5,989 6,228 6,736 7,112 7,783 8,021 8,093 8,783 9,379 10,069 10,717 11,340 11,992 12,778 13,239 13,939 15,639 16,594 17,431 19,581 21,186 22,668 27,088 30,724 34,142 38,134 41,785 45,973 50,134 53,800 614,522

Total Calculus exams

285 380 750 1,177 1,870 2,908 3,609 4,190 5,858 7,710 9,021 9,630 10,703 11,623 13,954 14,379 14,806 15,186 14,310 16,038 17,090 19,065 20,317 22,510 24,727 27,879 30,558 31,918 35,489 39,962 46,351 51,507 59,123 66,227 73,647 77,610 85,708 93,196 101,945 110,508 122,613 126,588 134,502 144,759 158,468 171,418 184,905 199,309 212,794 225,228 239,550 3,030,190

Statistics % change exams from previous year

7,667 15,486 25,240 34,118 41,609 49,824 58,230 65,878 298,052

0.33333 0.97368 0.56933 0.58879 0.55508 0.24106 0.16099 0.39809 0.31615 0.17004 0.06751 0.11142 0.08596 0.20055 0.03046 0.0297 0.02567 -0.05768 0.12075 0.06559 0.11556 0.06567 0.10794 0.09849 0.12747 0.09609 0.04451 0.11188 0.12604 0.15988 0.11124 0.14786 0.12016 0.11204 0.05381 0.10434 0.08737 0.09388 0.084 0.10954 0.03242 0.06252 0.07626 0.0947 0.08172 0.07868 0.0779 0.06766 0.05843 0.06359

5-year running average of % change

% change 5-year ratio of in BC running AB to BC average of % exams change in BC

0.591292 0.568631 0.410687 0.378461 0.327525 0.2541 0.21688 0.206308 0.146869 0.125975 0.097728 0.11758 0.089839 0.0263 0.072476 0.08567 0.042472 -0.02973 0.02823 0.08696 0.035149 0.09554 0.051865 0.13299 0.059945 0.03991 0.094831 0.08157 0.090446 0.05582 0.102826 0.09435 0.098949 0.03058 0.094549 0.00898 0.095327 0.08526 0.100766 0.06786 0.107022 0.07357 0.110065 0.06436 0.131212 0.05813 0.132891 0.0575 0.13006 0.06554 0.108592 0.03608 0.107213 0.05287 0.095288 0.12196 0.0901 0.06107 0.084545 0.05044 0.095781 0.12334 0.081121 0.08197 0.076134 0.06995 0.072645 0.19499 0.074755 0.13423 0.069311 0.11125 0.078726 0.11692 0.081832 0.09574 0.080097 0.10023 0.072843 0.09051 0.069222 0.07312

0.0560188 0.0518205 0.0728326 0.0636323 0.0869846 0.0806844 0.0804483 0.0601684 0.0537854 0.0545038 0.0568977 0.0528533 0.0596659 0.0697953 0.0642649 0.0638031 0.0562671 0.0539783 0.0663977 0.0671166 0.0640741 0.0814238 0.0873353 0.0770623 0.1029737 0.1200337 0.1176114 0.1247414 0.1301119 0.1115914 0.1028868 0.0952132

2.79804 2.50195 2.51353 2.31934 2.2237 2.32394 2.23307 2.18334 2.2622 2.34175 2.4768 2.58204 2.80975 2.9439 3.04065 3.2608 3.60334 3.8061 4.21367 4.5226 4.76358 4.86223 5.14879 4.9592 5.14349 5.33974 5.26184 4.97508 4.93356 4.34403 4.15779 4.02074 3.84882 3.76987 3.62867 3.49252 3.4526

AP Calculus

300,000

250,000

150,000

100,000

50,000

0

19 55 19 60 19 65 19 70 19 75 19 80 19 85 19 90 19 95 20 00

number

200,000

year AB Calc

BC Calc

total Calc

AP Stat

Ratio of AB to BC exams 6

5

ratio

4

3

AB/BC

2

1

0 1965

1970

1975

1980

1985

1990

year

1995

2000

2005

2010

annual growth, 1955–2005 16,000

14,000

12,000

change from previous year

10,000

8,000 annual growth 6,000

4,000

2,000

0 1950

1960

1970

1980

-2,000 year

1990

2000

2010

smoothed growth, 1957–2003 16,000

avg growth over 4 yrs.

14,000 12,000 10,000 8,000

smoothed growth

6,000 4,000 2,000 0 1950

1960

1970

1980 year

1990

2000

2010

change in total number of exams

95 370 427 693 1,038 701 581 1,668 1,852 1,311 609 1,073 920 2,331 425 427 380 -876 1,728 1,052 1,975 1,252 2,193 2,217 3,152 2,679 1,360 3,571 4,473 6,389 5,156 7,616 7,104 7,420 3,963 8,098 7,488 8,749 8,563 12,105 3,975 7,914 10,257 13,709 12,950 13,487 14,404 13,485 12,434 14,322

4-year running average of change in number of exams

396 632 715 753 997 1,201 1,353 1,360 1,211 978 1,233 1,187 1,026 891 89 415 571 970 1,502 1,618 1,909 2,204 2,560 2,352 2,691 3,021 3,948 4,897 5,909 6,566 6,824 6,526 6,646 6,742 7,075 8,225 9,226 8,348 8,139 8,563 8,964 11,208 12,601 13,638 13,582 13,453 13,661

change in log of # log of 4-year of exams running # of BC exams average of change in # of exams

432 108 361 -136 386 461 703 239 508 376 671 238 72 690 596 690 648 623 652 786 461 700 1,700 955 837 2,150 1,605 1,482 4,420 3,636 3,418 3,992 3,651 4,188 4,161 3,666

2.87506 3.07078 3.27184 3.46359 3.55739 3.62221 3.76775 3.88705 3.95525 3.98363 4.02951 4.06532 4.1447 4.15773 4.17044 4.18144 4.15564 4.20515 4.23274 4.28024 4.30786 4.35238 4.39317 4.44528 4.48512 4.50404 4.55009 4.60165 4.66606 4.71187 4.77176 4.82104 4.86716 4.88992 4.93302 4.9694 5.00837 5.04339 5.08854 5.10239 5.12873 5.16065 5.19994 5.23406 5.26695 5.29953 5.32796 5.35262 5.3794

2.597969275 2.800717078 2.854154164 2.87693914 2.998695158 3.079362164 3.131297797 3.133538908 3.08323379 2.990449857 3.091051124 3.074542178 3.011041526 2.949755831 1.949390007 2.617786395 2.756636108 2.986659788 3.176597641 3.208978517 3.280862799 3.343113055 3.408282375 3.371437317 3.429832996 3.480114784 3.596404644 3.689952275 3.77147724 3.817317414 3.834039018 3.814630432 3.822576673 3.828804852 3.849695751 3.915109505 3.965025218 3.92158244 3.910584388 3.932613264 3.952489736 4.049508748 4.100396395 4.134734764 4.132947738 4.128803001 4.135490439

growth as fcn of volume, 1957-2003 16,000

14,000

12,000

Growth (4 yr avg)

10,000

8,000 1957-2003 Poly. (1957-2003) 6,000

4,000

2,000

0 0

50,000

100,000

150,000

# of exams

200,000

250,000

growth as fcn of volume, 1957-1973 1,600

1,400

Growth (4 yr avg)

1,200

1,000

1957-1973

800

Poly. (1957-1973)

600

400

200

0 0

5,000

10,000 # of exams

15,000

20,000

Growth as fcn of volume

16,000 2

y = -1E-06x + 0.4956x - 33800 14,000

12,000

1955-71 1972-80

Growth (4 yr avg)

1981-88 1989-95

10,000

1996-2003 Poly. (1955-71) Poly. (1972-80)

8,000

Poly. (1981-88) Poly. (1989-95) Poly. (1996-2003)

6,000

4,000

2,000

0 0

50,000

100,000 150,000 # of exams

200,000

250,000