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Midrange = highest value + lowest value. 2. Range = Highest value - Lowest value. Sample standard deviation: s = 2 ∑ ( x − x ) n − 1. Population standard deviation: σ = ∑ ( x − μ ) 2. N. Sample variance: s 2. Population variance: . σ 2. Chapter 3. Limits for Unusual Data Below : μ - 2 σ Above: μ + 2 σ. Empirical Rule.
Sampling Distributions and Inferential Statistics. Standardized test statistic: statistic − parameter standard error of the statistic. Confidence interval: statistic ± ( critical value )( standard error of statistic ) Chi-square statistic: 2 ∑ ( observed − expected ) 2. χ = expected III.
Formula Sheet for Midterm 1 Summary Statistics Sample mean: x= Pn i=1 x i n Sample variance: s2 = P n i=1 (x i x) 2 n 1 Sample standard deviation:= p s2 Inter-quartile range = q 75 q 25, where q x= xth per-centile. Probability Complement: P(Ac) = 1 P(A) Addition law: P(Aor B) = P(A) + P(B) P(Aand B) Conditional probability: P(AjB) = P(Aand B) P(B)
STAT 100 Formula Sheet and Tables. Descriptive MM橠㨷橠㨶橠㨸 篐횀篐홿 ᰪ컟 橠㨶ᰪ컠 of X = Variable Statistics. where n = sample size ម깴ម깵ម깳橠㨷 ម깴橠㨷橠㨶橠㨸. χ덐 = m First quartile. 75% of the data values are ordered from smallest to largest. Range 25% Interquartile = maximum of the ordered. – of. ss橠㨶ម깴ម깵ម깳橠㨷 ssᰪ컠橠㨶橠㨸ᰪ컟橠㨶ooᰪ컟 ᰪ컟 橠㨷ddmm橠㨶ᰪ컠 mm篐횀橠㨸 minimum – Q1 = 㲡鯨.
Linear Regression Model. Population Version: Mean: PY x E ( Y ) E 0 E 1 x Individual: y E E x H. 0 1 i. where H is N ( 0 , V ) Sample Version: Mean: y ˆ b b x.
List of Formulae and Statistical Tables. Cambridge Pre-U Mathematics (9794) and Further Mathematics (9795) For use from 2017 in all papers for the above syllabuses. CST317. . PURE MATHEMATICS. Mensuration. Surface area of sphere = 4πr2 Area of curved surface of cone = πr × slant height. Trigonometry. a2 = b2 + c2 − 2bc cos A.
MEDIAN – “the middle number”, a number that splits data set in half How to find median? Step 1: Arrange data in increasing order Step 2: Determine how many numbers are in the data set = n Step 3: If n is odd: Median is the middle number If n is even: Median is the average of two middle numbers