Apps. and Interpretation SL Practice Paper Book | Page 24

� can be estimated by h� f ( x0 ) � f ( xn) � 2 ( f ( x1 ) � f ( x2) � � f ( xn
� b
� b f ( x ) d x a
Your Practice Paper – Applications and Interpretation SL for IBDP Mathematics
� Trapezoidal Rule : a , b ( a
� b): End points n : Number of intervals b� a h � : Interval width n b
� can be estimated by h� f ( x0 ) � f ( xn) � 2 ( f ( x1 ) � f ( x2) � � f ( xn
1))
f ( x ) d x a
� Estimation by Trapezoidal Rule :
1 2
1 . The estimation overestimates if the estimated value is greater than the
� b
actual value of f ( x ) d x a
2 . The estimation underestimates if the estimated value is less than the
actual value of
� b f ( x ) d x a

17 Statistics

� Relationship between frequencies and cumulative frequencies :
Data Frequency
Data less than or equal to
Cumulative frequency
10
f
1
10
f
1
20
f
2
20
f1� f2
30
f
3
30
f1
� f2
� f3
� Measures of central tendency for a data set { x1 , x2, x3, , x } arranged in ascending order : x1 � x2 � x3 � � xn 1 . x �
: Mean n 2 . The datum or the average value of two data at the middle : Median 3 . The datum appears the most : Mode n
12
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