Mathematics
Grade 10
15 min
Create line plots (Tutorial Only)
Create line plots (Tutorial Only)
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the minimum, maximum, and range of a data set related to geometric figures.
Construct a properly scaled and labeled number line for a given data set.
Accurately plot the frequency of each data point on a line plot using 'X's or dots.
Create a complete line plot, including a title and axis label, to represent data from two-dimensional figures.
Interpret a line plot to identify clusters, gaps, and outliers in the data.
Calculate the mean, median, and mode for a data set represented by a line plot.
Imagine you've calculated the areas of 30 different triangular sails for a fleet of boats. How can you quickly see the most common sail size or the range of sizes at a single glance? 📊
This tutorial will teach you how to create a line plo...
2
Key Concepts & Vocabulary
TermDefinitionExample
Line PlotA graph that shows the frequency of data along a number line. An 'X' or a dot is placed above each data value on the line for each time the value occurs.If the data set is {5, 6, 6, 8}, the line plot would have one 'X' above the number 5, two 'X's above the number 6, and one 'X' above the number 8 on a number line.
Data SetA collection of numbers or values that relate to a particular subject. In this context, the values will be derived from properties of two-dimensional figures.The measures of the interior angles of a set of triangles: {60, 90, 45, 60, 80, 75, 90, 60}.
FrequencyThe number of times a specific value appears in a data set.In the data set {2, 3, 3, 4, 3, 5}, the frequency of the value '3' is 3.
C...
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Core Formulas
Range of a Data Set
Range = Maximum Value - Minimum Value
Used to determine the spread of the data. First, identify the largest and smallest values in your data set from the line plot, then subtract the minimum from the maximum.
Mean (Average)
\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}
Used to find the central value of a data set. Sum all the data values (you can do this efficiently from the line plot by multiplying each value by its frequency) and divide by the total number of data points (the total count of 'X's).
Median
The middle value of an ordered data set.
To find the median from a line plot, list the values in order as many times as they appear (indicated by the 'X's). The median is the value in the exact middle. If there are two middle values...
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Challenging
A line plot shows the measure of one interior angle of several different regular polygons. The data is {60, 90, 108, 120, 120, 120, 150}. Which statement best analyzes this data distribution?
A.The data is skewed left, with an outlier at 60.
B.The data is clustered around 108, and the range is 80.
C.The mean and median are identical, and there are no gaps.
D.The data has a clear cluster at 120 and a potential outlier at 150.
Challenging
The mean height of 10 different triangular prisms is 8.5 cm. A new, much taller prism with a height of 22 cm is added to the data set. How will this new data point affect the mean, and what is this point likely considered?
A.The mean will increase, and the new point is a potential outlier.
B.The mean will decrease, and the new point is a potential outlier.
C.The mean will increase, and the new point will form a new cluster.
D.The mean will stay the same, but the range will increase.
Challenging
A line plot represents the lengths of the apothems of 11 regular polygons. The median length is 7.5 cm and the range is 12 cm. If the maximum value in the data set is 15 cm, what is the minimum value?
A.4.5 cm
B.2.5 cm
C.3 cm
D.Cannot be determined with the given information.
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