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Name ___________________________________________ Date ________________________ Grade 6 Statistics and Probability Unit Review DATA What is the difference between numerical and categorical data? __________________________________________________________________________________________________ __________________________________________________________________________________________________ Provide one example of each. Categorical: ___________________________ Numerical: ___________________________ STATISTICAL QUESTIONS What is a statistical question? __________________________________________________ __________________________________________________________________________________________________ What is variability? __________________________________________________________________________ Provide an example of a statistical question. __________________________________________________________________________________________________ BAR GRAPH VS. HISTOGRAM What is the difference between a BAR GRAPH and a HISTOGRAM? __________________________________________________________________________________________________ __________________________________________________________________________________________________ DATA DISTRIBUTION Match each term with the correct definition. _____Cluster a. Areas of a distribution where there are no observations _____Peak b. Data that tends to have a long tail on one side or the other _____Skew c. When data seems to be “gathered” around a particular value _____Gap d. Data points that are the highest _____Symmetry e. distribution can be divided at the center so that each half is a mirror image of the other Decribe the data below using the following: symmetrical, or u-shaped symmetrical. skewed right, skewed left, bell-shaped _____________________ _____________________ ______________________ _____________________ _____________________ _____________________ ______________________ _____________________ What does it mean for a graph to be symmetrical? __________________________________ __________________________________________________________________________________________________ __________________________________________________________________________________________________ SUM IT UP! Below are the most recent earthquake magnitudes in Oklahoma. Use the data to solve for each of the measures listed. You may use the space below to show your work. Mean __________________ Lower Quartile ____________________ Median ________________ Upper Quartile _________________ Mode ________________ Upper Extreme __________________ Range ________________ Interquartile Range (IQR) ____________________ Lower Extreme ________________ Outliers? _____________________ Name ANSWER KEY Date ________________________ Grade 6 Statistics and Probability Unit Review DATA What is the difference between numerical and categorical data? numerical: all data collected is in the form of numbers categorical: data collected that can be divided into groups Provide one example of each. Categorical: eye color, month you were born, etc. Numerical: height, number of pets, etc. STATISTICAL QUESTIONS What is a statistical question? A question that anticipates variability in the data that would be collected in order to answer the question What is variability? Variability in a data set occurs when the observations in the data set are not all the same. A statistical question will have variability when there are at least 4-6 answers. Provide an example of a statistical question. PA: What is the average number of minutes each 6th grade student spends on homework each night? BAR GRAPH VS. HISTOGRAM What is the difference between a BAR GRAPH and a HISTOGRAM? A histogram displays data in intervals. DATA DISTRIBUTION Match each term with the correct definition. C. Cluster D. Peak B. Skew A. Gap E. Symmetry a. Areas of a distribution where there are no observations b. Data that tends to have a long tail on one side or the other c. When data seems to be “gathered” around a particular value d. Data points that are the highest e. distribution can be divided at the center so that each half is a mirror image of the other Decribe the data below using the following: symmetrical, or u-shaped symmetrical. Skewed Right skewed right, skewed left, bell-shaped Bell-shaped symmetrical Skewed Left U-Shaped Symmetrical What does it mean for a graph to be symmetrical? When data is graphed, a symmetric distribution can be divided at the center so that each half is a mirror image of the other; i.e. Bell Curve SUM IT UP! Below are the most recent earthquake magnitudes in Oklahoma. Use the data to solve for each of the measures listed. You may use the space below to show your work. Mean 3.7 Lower Quartile 2.8 Median 3.9 Upper Quartile 4.5 Mode 4.5 Upper Extreme 4.9 Range 4.9-2.2 = 2.7 Interquartile Range (IQR) 4.5-2.8 = 1.7 Lower Extreme Outliers? NONE 2.2