Quantitative - how much of something Qualitative - the value of…ie it’s worth Population - the entire group being studied Sample - the subset of numbers being tested (the literal number ie 2008) Number of Classes - the number of groups 9-16 = 1 group Class Limits - upper is the first number, lower is the second Class Limit – front number in one class minus first number in another class 24-7=7 Frequency Distribution – count amount of numbers Frequency Chart shape - if it is taller on the right its skewed to the left and vice versa Stem and leaf - 45, 45, and 47 would be written 4|5,5,7 Mean - average Median - number in middle Mode - most common number Mean and Median Compared based on charts – median is more accurate than mean Mean, Median, and Modes on a graph – compare mean to chart Range - subtract smallest number from the largest Sample Variance – Empirical rule – (round down) on chart Sample Standard Deviation – the number between one unit to the next Standard Deviation Based on graphs - if distribution is more dispersed then it has higher deviation Empirical Rule of Standard Deviation of a Bell Shaped Curve – (see chart) Dark blue is less than one standard deviation from the mean. For the normal distribution, this accounts for about 68% of the set (dark blue) while two standard deviations from the mean (medium and dark blue) account for about 95% and three standard deviations (light, medium, and dark blue) account for about 99.7%.
Mean when you have two groups of numbers ie $1000-1200 and 12-15 students – average of the group number and multiple by the number of people, do that to all groups, add up $ group, and divide by the total number people. Five Number Summary and Box plots – repeated numbers are outliners. The furthest number away from the average is the shader. The are oppositely skewed. Explanatory Variable – variable that stays the same Response Variable - variable that changes in regards to the explanatory. Scatter Diagram – plots of x and y Linear Correlation Coefficient – chart to right positive, chart to left negative Least-squares Regression Line - Match Coefficients on a Scatter Diagram - Probability Model – all numbers must add to 1. 0 is an impossible event. etc Probability of Randomly Selected Items - the number questioned about, over the total, simplified Satisfied Probability – number who qualify divided by the total Population Probability - Discrete - countable numbers that have a definite number. Continuous - an infinite number that goes on and on. Cant be counted. Missing Probability - all numbers must add up to 1. So subtract all numbers from 1 to get the missing one
Binomial Experiment - Values of u - mean Values of o –standard deviation Exactly= PDF Atleast= 1-CDF Fewer than= CDF Between ___ and _____ = PDF of number 1 minus PDF of number 2 Normally Distributed Amounts: sample size has to be greater than 30. Cookie Chips – 1. Percentile find closest z-score number and find number (negative). Mean plus the zscore that’s multiplied with the standard deviation. 2. 1 – the percentage given for the last part minused from 1 divide number by 2 subtract final number from 1. Now find the second step number z-score (negative). Use the z-score found to do Mean plus the zscore that’s multiplied with the standard deviation.
Pregnancies - 1. less days minus total days divided by the standard deviation. Find z score. 2. Standard deviation divided by the square root of the days asked. Then less days minus total days divided by the number found. Find z score (ie 1.63 = z-score .516) 3. Same as part 2 different bottom square rooted number. Car Miles – 1. Number asked minus original number divided by standard deviation. Find z-score. (ie 1.14 z score 0.8729) 1-zscore found. 2. Number asked minus original number divided by standard deviation. Find z-score. 3. Number asked 1 minus original number divided by standard deviation. Find z-score. Minus Number asked 2 minus original number divided by standard deviation. Find z-score. subtract smaller z score from larger. 4. Number asked minus original number divided by standard deviation. Find z-score.
Oil Change – sample size has to be greater than 30. Standard deviation divided by the square root of the days asked. Then less time minus total time divided by the number found. Find z score. Distribution of P – 1. percentage multiplied by the population size. 2. (n)(p)(1-p) 3. Less than number stated (ie .10) then it’s not normal. 4. The square root of (over all the numbers) p(1-p) divided by n.
Emails Books Normal Distribution and Confidence Interval - Confidence Levels and Distribution - Null and Alternative Hypothesis - Rejecting and Accepting P Value – http://business.statistics.sweb.cz/normal01.jpg http://deeannef.com/apstats/normal/normtbl2.gif |