ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

5: Data, Statistics, and Probability

5.1: Collect, Represent, and Analyze Data

5.1.1: Bivariate Data

5.1.1.1: [RIT 199 - 243] Describes data in a scatter plot, including the interpretation of outliers and clusters

5.1.1.2: [RIT 206 - 249] Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships

5.1.1.3: [RIT 213 - 239] Constructs scatter plots of bivariate data

5.1.1.5: [RIT 220 - 238] Approximates the line of best fit on a scatter plot

5.1.1.6: [RIT 220 - 246] Determines whether two quantitative variables have a positive linear, negative linear, or zero association

5.1.1.7: [RIT 221 - 221] Distinguishes between linear and nonlinear relationships in scatter plots

5.1.1.8: [RIT 222 - 222] Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship

5.1.1.9: [RIT 231 - 247] Determines a pair of quantitative variables that has either a positive, negative, or zero correlation

5.1.1.11: [RIT 234 - 267] Interprets the meaning of the slope or y-intercept of a line of best fit or regression line

5.1.1.12: [RIT 244 - 263] Analyzes linear trends in scatter plots to make predictions

5.1.1.14: [RIT 246 - 254] Estimates the slope of a line of best fit

5.1.1.15: [RIT 261 - 276] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a scatter plot

5.1.1.16: [RIT 261 - 261] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a real-world context

5.1.1.17: [RIT 262 - 262] Approximates the equation of the line of best fit

5.1.1.18: [RIT 271 - 271] Compares two sets of bivariate data to draw conclusions

5.1.2: Data Analysis

5.1.2.3: [RIT 152 - 184] Compares categories in bar graphs with multi-unit scales to determine which is greater than or greatest

5.1.2.5: [RIT 157 - 176] Compares categories in tables or charts to determine which is greater than or greatest

5.1.2.6: [RIT 158 - 176] Compares categories in pictographs with multi-unit scales to determine which is greater than or greatest

5.1.2.7: [RIT 163 - 215] Reads and interprets data from a circle graph

5.1.2.10: [RIT 167 - 167] Reads pictographs with single-unit scales to determine how many in a category

5.1.2.12: [RIT 169 - 192] Reads tables or charts to determine how many in a category

5.1.2.14: [RIT 171 - 201] Compares multiple categories in bar graphs with multi-unit scales to answer questions

5.1.2.15: [RIT 172 - 179] Compares categories in tables or charts to determine which is less than or least

5.1.2.16: [RIT 172 - 194] Reads bar graphs with multi-unit scales to determine how many in a category

5.1.2.18: [RIT 173 - 208] Compares multiple categories in tables or charts to answer questions

5.1.2.19: [RIT 175 - 200] Determines the question to ask in order to collect data for a given purpose

5.1.2.21: [RIT 176 - 193] Compares categories in bar graphs with multi-unit scales to determine which is less than or least

5.1.2.22: [RIT 177 - 177] Compares multiple categories in pictographs with multi-unit scales to answer questions

5.1.2.26: [RIT 180 - 180] Reads line or dot plots with whole-number scales to determine how many in a category

5.1.2.27: [RIT 182 - 234] Reads and interprets data in a scaled line graph

5.1.2.29: [RIT 185 - 205] Reads pictographs with multi-unit scales to determine how many in a category

5.1.2.37: [RIT 196 - 212] Reads and interprets data from line or dot plots with whole-number scales

5.1.2.40: [RIT 198 - 221] Reads and interprets data from a scatter plot

5.1.2.45: [RIT 204 - 204] Interprets data in a table or chart

5.1.2.47: [RIT 205 - 240] Identifies the median, quartiles, extreme values, and outliers from a box plot

5.1.2.48: [RIT 209 - 227] Reads and interprets data from a histogram

5.1.2.54: [RIT 222 - 248] Reads and interprets data from a stem-and-leaf plot

5.1.2.56: [RIT 228 - 228] Determines the range from a stem-and-leaf plot

5.1.2.57: [RIT 231 - 231] Determines the median from a stem-and-leaf plot

5.1.2.58: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot

5.1.2.63: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms

5.1.3: Data Representation

5.1.3.2: [RIT 174 - 200] Represents data in tables or charts

5.1.3.4: [RIT 189 - 189] Represents data in pictographs with single-unit scales

5.1.3.5: [RIT 192 - 211] Represents data in line or dot plots with whole-number scales

5.1.3.6: [RIT 194 - 201] Represents data in pictographs with multi-unit scales

5.1.3.7: [RIT 196 - 224] Represents data in circle graphs

5.1.3.8: [RIT 197 - 197] Represents data in line graphs

5.1.3.9 (RIT 198 - 219): displ标识数据ay that best represents a given set of data or scenario

5.1.3.10: [RIT 204 - 204] Represents data in picture graphs with multi-unit scales

5.1.3.13: [RIT 213 - 239] Constructs scatter plots of bivariate data

5.1.3.15: [RIT 225 - 227] Represents data in frequency tables

5.1.3.16: [RIT 226 - 226] Represents data in stem-and-leaf plots

5.1.3.17: [RIT 228 - 254] Represents data in histograms

5.1.4: Measures of Center and Spread (Variability)

5.1.4.1: [RIT 199 - 214] Interprets the mode in the context of a data set

5.1.4.2 (RIT 202 - 216):中位数的解释the context of a data set

5.1.4.3: [RIT 204 - 226] Determines the median of a data set that is ordered

5.1.4.4: [RIT 205 - 240] Identifies the median, quartiles, extreme values, and outliers from a box plot

5.1.4.5: [RIT 209 - 222] Determines the mode of a data set

5.1.4.6: [RIT 213 - 237] Determines the mean of a data set

5.1.4.7: [RIT 215 - 215] Defines the mode

5.1.4.8: [RIT 216 - 222] Describes how the median is calculated

5.1.4.9: [RIT 216 - 216] Describes how the mean is calculated

5.1.4.10: [RIT 217 - 248] Determines the median of a data set that is not ordered

5.1.4.11: [RIT 219 - 248] Determines the range of a data set

5.1.4.12: [RIT 221 - 221] Defines the median

5.1.4.14: [RIT 228 - 228] Determines the range from a stem-and-leaf plot

5.1.4.15: [RIT 231 - 231] Determines the median from a stem-and-leaf plot

5.1.4.17: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot

5.1.4.19: [RIT 238 - 243] Explains why the mean and median differ in a single data set

5.1.4.21: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms

5.2: Probability and Sample Spaces

5.2.2: Probability

5.2.2.1: [RIT 168 - 201] Identifies a simple event given the likelihood of the event as more likely, less likely, neither likely nor unlikely, impossible, or certain

5.2.2.2: [RIT 185 - 213] Describes the likelihood of simple events occurring

5.2.2.3: [RIT 193 - 225] Makes predictions based on theoretical probabilities of simple events

5.2.2.4: [RIT 196 - 249] Determines theoretical probabilities of simple events

5.2.2.5: [RIT 208 - 236] Identifies the likelihood of a simple event as more likely, less likely, neither likely nor unlikely, impossible, or certain, given the probability of the event

5.2.2.7: [RIT 215 - 238] Determines the probability of the complement of an event

5.2.2.8: [RIT 215 - 247] Determines experimental probabilities of simple events

5.2.2.10: [RIT 224 - 232] Describes the likelihood of compound events occurring

5.2.2.11: [RIT 224 - 224] Writes proportions to make predictions based on experimental probabilities

5.2.2.12: [RIT 224 - 224] Determines the odds of simple events

5.2.2.13: [RIT 229 - 245] Makes predictions based on experimental probabilities of simple events

5.2.2.14: [RIT 230 - 239] Understands independence as it relates to previous outcomes

5.2.2.17: [RIT 238 - 269] Determines probabilities of compound independent events

5.2.2.18: [RIT 239 - 242] Determines conditional probabilities of events without replacement

5.2.2.19: [RIT 240 - 240] Modifies sample space to change the probability of an event

5.2.2.20: [RIT 245 - 266] Determines probabilities using geometric models

5.2.2.21: [RIT 246 - 246] Makes predictions based on probability distributions

5.2.2.22: [RIT 253 - 278] Determines conditional probabilities of compound events using relative frequencies

5.2.2.23: [RIT 257 - 257] Makes predictions based on theoretical probabilities of compound events

5.2.2.24: [RIT 257 - 278] Determines probabilities using the general Multiplication Rule of probability

5.2.2.25: [RIT 258 - 266] Determines probabilities of compound dependent events

5.2.3: Sample Spaces

5.2.3.1: [RIT 193 - 219] Determines the sample space for a simple event using lists, tree diagrams, or charts

5.2.3.2 (RIT 196 - 227):决定了样品space for two compound events using organized lists, tree diagrams, or charts

5.2.3.4: [RIT 211 - 232] Determines the sample space for more than two compound events using organized lists, tree diagrams, or charts

5.2.3.6: [RIT 243 - 272] Uses permutations and combinations to determine the number of possible outcomes

5.3: Population Sampling and Research Design

5.3.1: Populations/Random Processes

5.3.1.1: [RIT 187 - 217] Identifies a data collection method that best answers a question

5.3.1.2: [RIT 202 - 210] Identifies random samples

5.3.1.5: [RIT 217 - 250] Writes and solves proportions to make inferences about populations

5.3.1.6: [RIT 230 - 257] Identifies a sampling method that produces the most representative sample

5.3.1.7: [RIT 231 - 232] Identifies an appropriate research design, including surveys, experiments and observational studies, to answer a question

Growth: Grades 6+ Math - Data, Statistics, and Probability

5: Data, Statistics, and Probability