CBEST Math 2024 Actual Test with Complete Solutions

CBEST Math 2024 Actual Test with Complete Solutions metric system - Answer-The decimal measuring system based on units of meter for length, kilogram for mass, liter for liquid volume kilo - Answer-1000 times the base hecto - Answer-100 times the base deca - Answer-10 times the base deci - Answer-1/10 times the base centi - Answer-1/100 times the base milli - Answer-1/1000 times the base standard system - Answer-Measurement system based on unit of foot for length, pound for weight, gallon for liquid volume perimeter - Answer-Distance around an object; add length of all sides circumference - Answer-Distance around circle; C=2 x pi r, or C= d x pi rounding - Answer-Type of estimation; express number in terms of nearest decimal or nearest whole number Measures of Center (Central Tendency) - Answer-mean, median, mode mean - Answer-AKA average; 1) add values together, 2) divide by sample size median - Answer-Middle data value; 1) order least to greatest, 2) middle = median, 3) if 2 in middle, add together then divide by 2 mode - Answer-Data value that occurs most often; 1) order least to greatest, 2) find value that occurs most often range - Answer-The difference between the largest and smallest values ratio - Answer-A comparison of two quantities by division percentage - Answer-A ratio that compares a number to 100 probability - Answer-Describes how likely it is that an event will occur; a number from 0- 1; 0=least likely, 1=most likely permutations - Answer-Arrangement of objects where different sequences are counted separately and order is important combinations - Answer-Arrangement of objects where different sequences are not counted separately and order is not important probability experiment - Answer-Action that causes specific results (counts, measurements) outcome - Answer-Result of probability experiment sample space - Answer-Set of all possible outcomes event - Answer-Consists of one or more outcomes; subset of the sample space simple event - Answer-An event consisting of only one outcome classical probability - Answer-AKA theoretical; each outcome in sample space has same chance to occur empirical probability - Answer-Based on actual experiments or observations; the more an experiment is completed, the closer the empirical should get to the classical/theoretical probability addition rule of probability - Answer-Necessary to find the probability of event A or B occurring or both occurring at the same time. if A or B are mutually exclusive, they cannot occur at the same time. P(A or B) = P(A) + P(B) - P(AB) mutually exclusive or disjoint - Answer-A and B cannot occur at the same time. P(A or B) = P(A) + P(B) multiplication rule of probability - Answer-Necessary when finding the probability that event A occurs in first trial and event B occurs in second trial P(A and B) independent (probability) - Answer-The probability of one event occurring has no effect on the probability of the other event P(A and B)= P(A)P(B) dependent (probability) - Answer-The occurrence of one event effects the outcome of the second event P(A and B)= P(A)P(B|A) conditional probability - Answer-The probability of event B occurring given event A has already occurred; dependent P(B|A) P(B|A)= P(A and B) / P(A) confusion of the inverse - Answer-To incorrectly believe that P(A|B) and P(B|A) are the same, or to incorrectly use one value for the other Two-Way Frequency Table - Answer-A table that displays the categorical data with two variables; highlights the relationships that exist between two variables; table can calculate frequencies and conditional probabilities joint frequency - Answer-Each entry in a two-way table that shows a count pertaining to the individual variable pairing discrete random variable - Answer-A set of values that is either finite or countably finite countable - Answer-If there are infinite values, then countable is when each individual can be paired with a natural number continuous random variable - Answer-A random variable that may assume any numerical value in an interval or collection of intervals; infinite values that are not countable probability distribution - Answer-Calculates the probability for each potential value of random variables; exist in formulas, tables, graphs expected value - Answer-The weighted average of all of the possible outcomes of a probability distribution mean of random variable - Answer-AKA expected value; known as measure of central tendency Binomial Probability Distribution - Answer-A probability distribution showing the probability of x successes in n trials of a binomial experiment; must consist of fixed number of trials (independent) X= number of resulting successes n= number of trials P= probability of success per trial (Q=1-P): probability of failure per trial binomial coefficient - Answer-The number of ways of arranging k successes among n observations uniform probability distribution - Answer-A continuous probability distribution in which the probability that the random variable will assume a value in any interval of equal length is the same for each interval normal probability distribution - Answer-A continuous probability distribution. Its probability density function is bell-shaped and determined by its mean and standard deviation