# Symbols and their meanings

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This module defines symbols used throughout the Collaborative Statistics textbook.
Symbols and their meanings
Chapter (1st used) Symbol Spoken Meaning
Sampling and Data $\sqrt{}$ The square root of same
Sampling and Data $\pi$ Pi 3.14159… (a specific number)
Descriptive Statistics $\mathrm{Q1}$ Quartile one the first quartile
Descriptive Statistics $\mathrm{Q2}$ Quartile two the second quartile
Descriptive Statistics $\mathrm{Q3}$ Quartile three the third quartile
Descriptive Statistics $\mathrm{IQR}$ inter-quartile range Q3-Q1=IQR
Descriptive Statistics $\overline{x}$ x-bar sample mean
Descriptive Statistics $\mu$ mu population mean
Descriptive Statistics $s$ ${s}_{x}$ $\mathrm{sx}$ s sample standard deviation
Descriptive Statistics ${s}^{2}$ ${s}_{x}^{2}$ s-squared sample variance
Descriptive Statistics $\sigma$ ${\sigma }_{x}$ $\mathrm{\sigma x}$ sigma population standard deviation
Descriptive Statistics ${\sigma }^{2}$ ${\sigma }_{x}^{2}$ sigma-squared population variance
Descriptive Statistics $\Sigma$ capital sigma sum
Probability Topics $\left\{\right\}$ brackets set notation
Probability Topics $S$ S sample space
Probability Topics $A$ Event A event A
Probability Topics $P\left(A\right)$ probability of A probability of A occurring
Probability Topics $P\left(A\mid B\right)$ probability of A given B prob. of A occurring given B has occurred
Probability Topics $P\left(A\mathrm{or}B\right)$ prob. of A or B prob. of A or B or both occurring
Probability Topics $P\left(A\mathrm{and}B\right)$ prob. of A and B prob. of both A and B occurring (same time)
Probability Topics $\mathrm{A\text{'}}$ A-prime, complement of A complement of A, not A
Probability Topics $P\left(\mathrm{A\text{'}}\right)$ prob. of complement of A same
Probability Topics ${G}_{1}$ green on first pick same
Probability Topics $P\left({G}_{1}\right)$ prob. of green on first pick same
Discrete Random Variables $\mathrm{PDF}$ prob. distribution function same
Discrete Random Variables $X$ X the random variable X
Discrete Random Variables $\mathrm{X~}$ the distribution of X same
Discrete Random Variables $B$ binomial distribution same
Discrete Random Variables $G$ geometric distribution same
Discrete Random Variables $H$ hypergeometric dist. same
Discrete Random Variables $P$ Poisson dist. same
Discrete Random Variables $\lambda$ Lambda average of Poisson distribution
Discrete Random Variables $\ge$ greater than or equal to same
Discrete Random Variables $\le$ less than or equal to same
Discrete Random Variables $=$ equal to same
Discrete Random Variables $\ne$ not equal to same
Continuous Random Variables $f\left(x\right)$ f of x function of x
Continuous Random Variables $\mathrm{pdf}$ prob. density function same
Continuous Random Variables $U$ uniform distribution same
Continuous Random Variables $\mathrm{Exp}$ exponential distribution same
Continuous Random Variables $k$ k critical value
Continuous Random Variables $f\left(x\right)=$ f of x equals same
Continuous Random Variables $m$ m decay rate (for exp. dist.)
The Normal Distribution $N$ normal distribution same
The Normal Distribution $z$ z-score same
The Normal Distribution $Z$ standard normal dist. same
The Central Limit Theorem $\text{CLT}$ Central Limit Theorem same
The Central Limit Theorem $\overline{X}$ X-bar the random variable X-bar
The Central Limit Theorem ${\mu }_{x}$ mean of X the average of X
The Central Limit Theorem ${\mu }_{\overline{x}}$ mean of X-bar the average of X-bar
The Central Limit Theorem ${\sigma }_{x}$ standard deviation of X same
The Central Limit Theorem ${\sigma }_{\overline{x}}$ standard deviation of X-bar same
The Central Limit Theorem $\Sigma X$ sum of X same
The Central Limit Theorem $\Sigma x$ sum of x same
Confidence Intervals $\text{CL}$ confidence level same
Confidence Intervals $\text{CI}$ confidence interval same
Confidence Intervals $\text{EBM}$ error bound for a mean same
Confidence Intervals $\text{EBP}$ error bound for a proportion same
Confidence Intervals $t$ student-t distribution same
Confidence Intervals $\text{df}$ degrees of freedom same
Confidence Intervals ${t}_{\frac{\alpha }{2}}$ student-t with a/2 area in right tail same
Confidence Intervals $\mathrm{p\text{'}}$ $\stackrel{^}{p}$ p-prime; p-hat sample proportion of success
Confidence Intervals $\mathrm{q\text{'}}$ $\stackrel{^}{q}$ q-prime; q-hat sample proportion of failure
Hypothesis Testing ${H}_{0}$ H-naught, H-sub 0 null hypothesis
Hypothesis Testing ${H}_{a}$ H-a, H-sub a alternate hypothesis
Hypothesis Testing ${H}_{1}$ H-1, H-sub 1 alternate hypothesis
Hypothesis Testing $\alpha$ alpha probability of Type I error
Hypothesis Testing $\beta$ beta probability of Type II error
Hypothesis Testing $\overline{\mathrm{X1}}-\overline{\mathrm{X2}}$ X1-bar minus X2-bar difference in sample means
${\mu }_{1}-{\mu }_{2}$ mu-1 minus mu-2 difference in population means
$P{\text{'}}_{1}-P{\text{'}}_{2}$ P1-prime minus P2-prime difference in sample proportions
${p}_{1}-{p}_{2}$ p1 minus p2 difference in population proportions
Chi-Square Distribution ${Χ}^{2}$ Ky-square Chi-square
$O$ Observed Observed frequency
$E$ Expected Expected frequency
Linear Regression and Correlation $y=a+\mathrm{bx}$ y equals a plus b-x equation of a line
$\stackrel{^}{y}$ y-hat estimated value of y
$r$ correlation coefficient same
$\epsilon$ error same
$\mathrm{SSE}$ Sum of Squared Errors same
$1.9s$ 1.9 times s cut-off value for outliers
F-Distribution and ANOVA $F$ F-ratio F ratio

what is the coefficient of -4×
-1
Shedrak
the operation * is x * y =x + y/ 1+(x × y) show if the operation is commutative if x × y is not equal to -1
An investment account was opened with an initial deposit of $9,600 and earns 7.4% interest, compounded continuously. How much will the account be worth after 15 years? Kala Reply lim x to infinity e^1-e^-1/log(1+x) given eccentricity and a point find the equiation Moses Reply 12, 17, 22.... 25th term Alexandra Reply 12, 17, 22.... 25th term Akash College algebra is really hard? Shirleen Reply Absolutely, for me. My problems with math started in First grade...involving a nun Sister Anastasia, bad vision, talking & getting expelled from Catholic school. When it comes to math I just can't focus and all I can hear is our family silverware banging and clanging on the pink Formica table. Carole I'm 13 and I understand it great AJ I am 1 year old but I can do it! 1+1=2 proof very hard for me though. Atone hi Adu Not really they are just easy concepts which can be understood if you have great basics. I am 14 I understood them easily. Vedant find the 15th term of the geometric sequince whose first is 18 and last term of 387 Jerwin Reply I know this work salma The given of f(x=x-2. then what is the value of this f(3) 5f(x+1) virgelyn Reply hmm well what is the answer Abhi If f(x) = x-2 then, f(3) when 5f(x+1) 5((3-2)+1) 5(1+1) 5(2) 10 Augustine how do they get the third part x = (32)5/4 kinnecy Reply make 5/4 into a mixed number, make that a decimal, and then multiply 32 by the decimal 5/4 turns out to be AJ how Sheref can someone help me with some logarithmic and exponential equations. Jeffrey Reply sure. what is your question? ninjadapaul 20/(×-6^2) Salomon okay, so you have 6 raised to the power of 2. what is that part of your answer ninjadapaul I don't understand what the A with approx sign and the boxed x mean ninjadapaul it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared Salomon I'm not sure why it wrote it the other way Salomon I got X =-6 Salomon ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6 ninjadapaul oops. ignore that. ninjadapaul so you not have an equal sign anywhere in the original equation? ninjadapaul hmm Abhi is it a question of log Abhi 🤔. Abhi I rally confuse this number And equations too I need exactly help salma But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends salma Commplementary angles Idrissa Reply hello Sherica im all ears I need to learn Sherica right! what he said ⤴⤴⤴ Tamia hii Uday hi salma hi Ayuba Hello opoku hi Ali greetings from Iran Ali salut. from Algeria Bach hi Nharnhar what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks. Kevin Reply a perfect square v²+2v+_ Dearan Reply kkk nice Abdirahman Reply Jeannette has$5 and \$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
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