Welcome to Math 6

Statistics:Use Graphs to Show Data

Histograms

Objectives

1. Interpret graphs that show the shape of a distribution of data.

2. Discuss the center, spread and overall shape with dot plots, histograms and box plots.

A histogram is a data display in which the labels for the bars are numerical intervals.

1. A histogram has solid bars like a bar graph. However, there are no spaces between the bars unless no data is given for an interval.

Histograms:

2. The intervals are listed below each bar on the x-axis. Exact values cannot be read because of the clustering of data.

Histograms:

3. The y-axis is helpful for determining the value at the height of each bar.

Histograms:

Advantages: A histogram can be easy for students to read.

Advantages: Numerical data can be clustered into intervals and represented together on a graph.

Histograms

Advantages: Additionally, large amounts of data can be represented.

Histograms

Common Misconceptions by Students:

1. Pay attention to the intervals used on graphs in order to accurately understand the values being represented.

Common Misconceptions by Students:

2. Remember that the intervals on the y-axis do not always represent multiples of one. Be sure to look at how the axis is labeled.

Common Misconceptions by Students:3- Remember that the intervals on the x-axis is a range that includes the numbers seen and all the numbers in between.

Common Misconceptions by Students:

4- Many students may think a histogram is exactly the same as a bar graph (which displays categorical data rather than numerical data) and try to read or create it in the same manner.

Guided Practice

Presidents of the United StatesThe list below shows the ages of the first 43 presidents at the time of inauguration. 57 61 57 57 58 57 61 54 68 51 4964 50 48 65 52 56 46 54 49 50 4755 55 54 42 51 56 55 51 54 51 6062 43 55 56 61 52 69 64 46 54 Make a histogram to show the age distribution.

http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-829635-8&chapter=9&lesson=1&headerFile=4&state=

MORE PRACTICE

box plots, dot plots, histograms, frequency tables, cluster, peak, gap, mean, median, interquartile range, measures of center, measures of variability, data, Mean Absolute Deviation (M.A.D.), quartiles, lower quartile (1st quartile or Q1), upper quartile (3rd quartile or Q3), symmetrical, skewed, summary statistics, outlier

Conclusion

It is similar to a bar graph,

but a histogram

groups numbers into

ranges.

A Histogram is a graphical display of data using bars of different heights.

Assignments

Go to the webpage below and solve the challenging problems:

http://www.lms.stjohns.k12.fl.us/teachers/baggetb/Downloads/11Math_G7_FL_07-01-C.pdf