• MA.5.DP.1 Data Analysis and probability

Collect, represent and interpret data and find the mean, mode, median or range of a data set.

MA.5.DP.1.2

Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median or range. Example: Rain was collected and measured daily to the nearest inch for the past week. The recorded amounts are 1, 0, 3, 1, 0, 0 and 1. The range is 3 inches, the modes are 0 and 1 inches, and the mean value can be determined as (1+0+3+1+0+0+1)/7 , which is equivalent to 6/7 of an inch. This mean would be the same if it rained 6/7 of an inch each day.

Benchmark Clarifications:
Clarification 1: Instruction includes interpreting the mean in real-world problems as a leveling out, a balance point or an equal share.

Purpose and Instructional Strategies
The purpose of this benchmark is to interpret numerical data by using the mean, mode, median and range. This work builds on the previous understanding of mode, median, and range in Grade 4 (MA.4.DP.1.2). In Grade 6, a focus will be on comparing the advantages and disadvantages of the mean and median.

 When finding median and mode, it is important for students to organize their data, putting it in order from least to greatest.

 With the data organized, students can determine:
o range by subtracting the least value from the greatest value in the set.
o mode by finding the value that occurs most often.
o median by finding the value in middle of the set.
o mean by finding the average of the set of numbers.

Common Misconceptions or Errors
 Students may confuse the mean and median of a data set. During instruction, teachers should provide students with examples where the median and mean of a data set are not close in value.