Statistics Edexcel Year 12 Full Content

Alternative transcript:

Perth above can be Over Seas locations north to { 95% Beijing Jachson ville been measured in Beaufort mist род. South: Scale: decametres 10. 1. 22 12.1.22 171.22 mode median - mean is calculated by: to - 4 = Find = median is lower range upper this is a INTERPOLATION ↳ VARIATION Value Or middle Value this to find a median: There are two main -range to calculate inter quartile range is the This is denoted LD quartile (Q.) quartile (Q₂) the middle {cc² U on a to affected by the class STANDARD DEVIATION find spread • 30 these, difference - inter quartile range difference not when all of the values are out into order that occurs the most often calculator types of Σα square using : the quartile, {a n of the O MEASURE OF 3 you S extreme values you I quarter of 3 quarter of median, quartile root : Spread: data need affected by extreme add up the frequency Find which class use ratio proportion to boundaries + Frequencies to also the way set mode p the of the way percentages from the the Statistics find and the through Values through mean between the largest between upper other quartiles uss interpolation denoted variance half median MEASURES OF SPREAD mean. the daba set, 60 the VARIANCE STANDARD > when it is in a and to data find the and 1-variable 4 optn value is and 50 bet, lower ex act the squares by: calculate smallest value percentiles: In of 3/ of n Frequency in minus value of the median, quartile Values table CH 2.3 a, and Q₂ the square of LH 2.4 the mean whole , round using up the 19.1.22 This is a the the mean way to 9 10 standard 16-20 b Simplify this would deviation be: calculations, of this : M 6, by 2 CODING they are usually given 9 b CH 2.5 in the form: 14. 2.22 16.2 22 To find for a 4 ܝ - 1.5 with when 46 UQ outliers in a data sek. 1.5 x a cumulative box LQ median X noch plot, 24.7 the 100 lowest value 75 inter quartile range range can 09 25 you mark frequency interquartile grouped data, you just plotting the 2311 outliers graph cumulative the boundary of the LQ be above add up below with an median BOX PLOTS used to the Frequency the on a upper the lower 20 outlier as the uQ estimate Frequency graph, quartile quartile CUMULATIVE FREQUENCY as medians nog plot highest highest value } anything outside of those boundaries pun at the CH 3.1, 3.2 down. value. percentiles CH 8.3 upper boundary OF the class width 2. 3. 22 21. 3. 22 in a histogram; FD a higher CA AC the height of the bar : the width of area. the frequency bur is higher standard deviction or IQR means HISTOGRAMS the the the meunor median on a box plat / cumulative frequency) frequency density. class COMPARING DATA width data means the the from that dutu is group is less CH 3-4,3-5 -frequency density = CH 3.5 higher on average consistent frequency class width 28. 3. 22 Scatter y graphs MB strong negative Corr y weak negative corr y Strong positive corr CH 4.1 independent variable the OL axis dependent variable y weah goes on goes on X y axis positive corr 30.3.22 Small as possible regression line is basically when Lo to Lo written like a the data is thed dat a the gradient justify a linear this is extrapolation (can't be done) normal positively negatively of a Stright lins regression x regression line : correlated OF line line correlated : b will be inter polation bost : - if the fit, and is a line change a ba positive b will be negative graph has 132 D switch direction G that wany the value per straight lincar relation regression minimises variable (yanis) around duta line must hot be to from the distanc change also estimate will be Very 10 be 20 Ship it is justified between outside (extrapolution) unreliable CH 4.2 be used to only the independent variable (o aris) and not the the points on the us estimates range Scaller 40 the there is no gruph to be us dependent (interpolation) data. other 05 and the 4.4.22 6.4.22 VENN DIAGRAMS -mutally ∞ D ∞ to exclusive an independent event is another event. prove events when prove events Care mutally exclusive independent are An B : : means A and B the intersection AUB PROBABILITY a union b a or b not A' u B' the events cannot happen at the same time ever: to on a venn diagram, the circles will not overlap to both of the sections of not B one event has no erect to bother, So all of the outside area. MUTUALLY EXCLUSIVE P(AUB) P(ANB) on the probability of P(A) + P(B) = P(A) = P(B) B A'U B A'n B EVENTS CH 5.1 5.2 A ∞ e I CH S-3 B OO 4.5.22 9.5.22 for a random variable; if Lo so a probability distribution describes you are if all of the probabilites of an out come لا eg. if P(x 3) = 0.1 P(x-x) in order Lo ΣP(x-a)=1 to AC given P(x=r) Lo this 1 to to find find find do a and 2 0.1 the distribution is written in the 3 P(x+2) p(xse) P ( X = 2) the all P(x = -1) form PROBABILITY DISTRIBUTIONS (Sum of all possible values adds up to 1) P(x+r) P(x = -1) then: use possible outcomes of a sample are equal, this is a binomial distribution you need four things: must be a fixed number of brials (n) - there must be two possible out comes Success or failure) - there must be (P) a fixed probability of the trials must be independent from each usc probability of x and BINOMIAL Success X-B (np) the Binomial PD USC the Binomial Со 1- P(X2) the probality of the lower value of usind discrete uniform distribution Selting on Selling the the Binomial CO Calculator Selting OL are CH 6.1 equal CH 6.2 16.5.22 an null hypothesis 4 alternative hypothesis = the one you assume to the parameter alternative hypothesis pe or ... an alternative hypotheisis P... is HYPOTHESIS TESTING be correct the assumption that is a one-tailed two Lp test tailed test H₂ incorrect either and or the values CH 7.1