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Representing Data Sets

Representing Data Sets. MCC9–12.S.ID.1. Data can be represented graphically using a__________. Graphs provide a visual representation of data; just by looking at a graph, you can quickly understand the ________ and________ of a data set. number line. spread. center.

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Representing Data Sets

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  1. Representing Data Sets MCC9–12.S.ID.1

  2. Data can be represented graphically using a__________. Graphs provide a visual representation of data; just by looking at a graph, you can quickly understand the ________ and________ of a data set. number line spread center

  3. Dot plots and histograms show the frequency of a data value. In a________, each data value is represented by a dot. The number of times a value is repeated corresponds to the number of dots above that value. In a___________, the height of a rectangle above a value corresponds to the number of data values with that value. When looking at either a dot plot or histogram, it is easy to see both the most repeated data values and the ______ of the data. If a data set is large, a ___________is easier to use because a single dot does not need to be drawn for each data value. dot plot histogram spread histogram Ex. 1 What data is represented by the dot plot below? Data values: 5, 6, 6, 6, 7, 7, 8, 8, 9

  4. box plot first quartile A ___________ shows the ___________, ___________, ____________, ___________, and _____________of numerical data. The middle ______of the data is represented with a box. Lines on either side of the box extend to the minimum and maximum data values. A box plot shows the range of data in a data set, and measures of center can be easily seen on a box plot. Box plots can be used to compare expected values of multiple data sets. minimum maximum median third quartile 50% Minimum Maximum (Median)

  5. Ex. 2 The data below gives the scores of the Unit 4 test in a 9th grade English. Create a histogram to describe the data. 22, 45, 48, 50, 61, 62, 65, 68, 70, 71, 71, 71, 75, 78, 78, 82, 84, 84, 84, 87, 87, 88, 92, 94, 98 In a histogram a rectangle is drawn above a range of data values. The range of values is called the______. bin 10 The bin size needs to be determined and for the grades given a size of ___will do well. Our number line will look like this. Find the number of data items that will fit inside bin or category. 0-9: 0 10-19: 0 20-29: 1 30-39: 0 40-49: 2 50-59: 1 60-69: 4 70-79: 7 80-89: 7 90-99: 3 0 10 20 30 40 50 60 70 80 90 100

  6. 8 7 6 5 4 3 2 1 0-9: 0 10-19: 0 20-29: 1 30-39: 0 40-49: 2 50-59: 1 60-69: 4 70-79: 7 80-89: 7 90-99: 3 Draw a rectangle that has a height corresponding to the number of items in each bin 0 10 20 30 40 50 60 70 80 90 100

  7. Ex. 3 Anna and Ethan watch 20 thirty-minute shows during the month of June. They record the number of commercials that air during each show in the table below. Create a dot plot to display the number of commercials that aired during the 20 shows.

  8. 1. Arrange the data from least to greatest. 12, 13, 14, 14, 14, 15, 15, 15, 15, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19 2. Draw a number line on an x-axis that corresponds to the range of the data values. 3. Draw each data value as a dot above the number line. The number of dots above each data value should show the number of times that value occurs in the data set.

  9. Ex. 4 The website Rate My Phone conducts reviews of smartphones. One aspect of the phones that is tested is battery life. The minutes of battery life for the newest 13 phones is recorded in the table below. Draw a box plot to represent the data.

  10. 1. Order the data from least to greatest. Note the minimum and maximum data values. 290, 330, 350, 360, 370, 380, 390, 430, 520, 520, 530, 550, 550 The minimum data value is______, and the maximum data value is______. 290 550 2. Find the median of the data. The median is______ 390 3. Find the first quartile of the data. 355 The first quartile is______ 4. Find the third quartile of the data. 525 The third quartile is______

  11. Min = 290, Q1 = 355, Median = 390, Q3 = 525, Max = 550 5. Draw a number line that includes the minimum and maximum data values. (355) 6. Draw a box, beginning at the first quartile________ and ending at the third quartile ________ (525). 7. Draw a line in the box at the median ________ (390). 8. Draw a point at the minimum and maximum data values (____________ ). 290 and 550 9. Connect the minimum and maximum data values to the box.

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