Unit 7: Statistics
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In this unit, students will begin their study of statistics during this unit. This information will be assessed on the 7th grade NYS mathematics assessments. The unit begins with analyzing statistical questions as well as determining if a sample is fairly representative of a target population. Students will find measures of center and variability in order to describe data sets. Students will create frequency tables from data sets in order to represent the data using various representations.
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Learning Target |
NYS Standard |
Engage NY |
Textbook Resources |
1: I can create statistical questions. |
6.SP.1 |
Value |
CMP3 Data About Us Go Math 16.4 |
2: I can make predictions about a population. |
6.SP.1 6.SP.2 6.SP.5a |
Value |
CMP3 Data About Us Go Math Module 16 |
3: I can compute the measures of center (mean, median, mode) from a data set. |
6.SP.3 |
CMP3 Data About Us Go Math 16.1 |
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4: I can describe a data set from the measures of center. |
6.SP.2 6.SP.3 |
Value |
CMP3 Data About Us Go Math 16.1 |
5: I can compute the measures of variability (range, quartiles, MAD) from a data set. |
6.SP.3 |
Value |
CMP3 Data About Us Go Math 16.2 Go Math 16.3 |
6: I can describe a data set from the measures of variability. |
6.SP.2 6.SP.3 |
CMP3 Data About Us Go Math 16.3 |
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7: I can organize and represent data using tables, dot plots, line plots, bar graphs, histograms and box plots. |
6.SP.4 |
CMP3 Data About Us Go Math 16.3 Go Math 16.4 Go Math 16.5 |
Learning Target 1: I can create statistical questions.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.1.A: I can identify statistical questions. |
(1) |
(1) |
(1) |
7.1: I can create statistical statistical questions. |
(1) |
(1) |
(1) |
Learning Target 2: I can make predictions about a population.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.2.A: I can identify a population, sample (random, convenient, representative, bias), and outliers. |
(1) |
(1) |
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7.2.B: I can estimate a population size based on a sample. |
(1) |
(1) Making Predictions about a Population; ACTIVEInspire Slides & Word Doc |
Value |
7.2: I can make predictions about a population. |
Unit 7 Mastery Quiz 1: see assessment tabs
Learning Target 3: I can compute the measures of center ( mean, median, mode) from a data set.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.3.A: I can determine the mode of a data set. |
(1) writing 0 for statistic of no mode 0 can be considered value in data set and therefore should not be used to indicate that mode does not exist (2) writing no mode for data set that has two modes a data set can be bimodal (3) writing number of times highest frequency occurs mode indicates value in data set that occurs most frequent |
(1) |
(1) |
7.3.B: I can determine the median of a data set. |
(1) ordering values from least to greatest understanding median as middle value in ordered set of values (2) writing two medians median value can be value not included in data set. If there is an even number of values in a data set, two middle numbers must be averaged |
(1) |
Value |
7.3.C: I can determine the mean of a data set. |
(1) automatically rounding mean to nearest whole number mean value can include decimal places and should be rounded according to directions |
(1) |
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7.3: I can compute the measures of center (mean, median, mode) from a data set. |
Learning Target 4: I can describe a data set form the measures of center.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.4.A: I can describe what the mode tells us about a data set. |
(1) describes most frequently occurring value |
(1) |
(1) |
7.4.B: I can describe what the median tells us about a data set. |
(1) describes middle value of data set and can include value not in data set if there are an even number of values |
(1) |
Value |
7.4.C: I can describe what the mean tells us about a data set. |
(1) describes average of data |
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7.4: I can describe a data set using the measures of center. |
(1) Problem Set - Leveled; Word Doc |
Unit 7 Mastery Quiz 2: see assessment tab
Learning Target 5: I can compute the measures of variability (range, quartiles, MAD) from a data set.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.5.A: I can compute the range and the interquartile range from a data set. |
(1) must order values from least to greatest understanding range is difference between maximum and minimum, not difference between values initially listed in farthest left and farthest right |
(1) |
(1) |
7.5.B: I can compute the mean absolute deviation (MAD) from a data set. |
(1) rounding distances to whole numbers before calculating mean of distances MAD distances can include values to decimal places in order to arrive at more accurate MAD value (2) not including 0 as distance if value is the same as mean distance of 0 is just as relevant as any other distance and must be calculated in with other values to obtain accurate MAD value |
(1) |
Value |
7.5: I can compute the measures of variability (range, quartiles, MAD) from a data set. |
(1) |
Learning Target 6: I can describe a data set form the measures of variability.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.6.A: I can describe what the range tells us about a data set. |
(1) describes difference between maximum and minimum values |
(1) |
(1) |
7.6.B: I can describe what the IQR tells us about a data set. |
(1) IQR describes range of middle 50% of data, large IQR indicates middle 50% of data is spread over wider interval relative to the median, small IQR indicates middle 50% of data is closer to the median |
(1) |
Value |
7.6.C: I can describe what the mean absolute deviation (MAD) tells us about a data set. |
(1) MAD describes averages distance between values and mean, large MAD indicates values are further away from mean, small MAD indicates values are closer to mean |
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7.6.D: I can describe a data set from the measures of variability and measures of center. |
Value |
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7.6: I can describe a data set from the measures of variability. |
Learning Target 7: I can represent and analyze data using tables, dot plots, line plots, bar graphs, histograms and box plots.
Learning Target & Objectives |
Misconceptions/ Common Errors |
Instructional Resources |
Learning Activities |
7.7.A: I can organize data in a frequency table. |
Value |
(1) |
(1) |
7.7.B: I can organize and analyze data using a dot or line plot. |
(1) including values with frequency of zero necessary in order to identify clusters, gaps, outliers |
(1) |
Value |
7.7.C: I can organize and analyze data using a bar graph. |
(1) labeling x-axis, y-axis, title |
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7.7.D: I can organize and analyze data using a box plot. |
Value |
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7.7.E: I can organize and analyze data using a histogram. |
(1) connecting bars in graph (2) intervals of different ranges all intervals must have equal ranges in order to accurately display data (3) repeating value in more than one interval each value should be included in exactly one interval |
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7.7: I can represent and analyze data using tables, dot plots, line plots, bar graphs, histograms and box plots. |
Unit 7 Mastery Quiz 3: see assessment tab
Department Assessments |
Teacher Made Assessments |
Projects |
Unit 1 Mastery Quiz 1 High, Medium, Low |
Value |
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Unit 1 Mastery Quiz 2 High, Medium, Low |
Value |
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