If you hear a voice within you say “you cannot paint,” then by all means paint and that voice will be silenced. –Vincent Van Gogh

P.O.D. #6 basic advanced {3, 5, 1, 9, 2, 4, 3, 3, 6, 11, 12} 1, 2, 3, 3, 3, 4, 5, 6, 9, 11, 12 Min = Q1 = Q2 = Q3 = Max = {1, 2, 5, 9, 2, 4, 3, 3, 6, 11, 12, 8} 1, 2, 2, 3, 3, 4, 5, 6, 8, 9, 11, 12 Min = Q1 = Q2 = Q3 = Max = Use a box-and-whisker plot to represent the following set of data. (This is the same data as yesterday’s POD.) Use a box-and-whisker plot to represent the following set of data. (This is the same data as yesterday’s POD.)

P.O.D. # basicadvanced = n_ 25,000 68% of 7 th grade students at Houston read at least 5 minutes per day. If there are 48 7 th graders at Houston, how many read at least 5 minutes? = n_ n = 1,050,000 ÷100 n = 10, n = 3264 ÷100 n = 32.64

Selecting an Appropriate Data Display

Bar Graph Show the number of items in specific categories Categories on horizontal axis Quantity on vertical axis Space separating the bars

Box-and-Whisker Plot Show measures of variation for a set of data Should be drawn above the number line Used for numerical data

Circle Graph Compare parts of the data to the whole Used for categorical data Percentages must add up to 100%

Double Bar Graph Compare two sets of categorical data Categories on horizontal axis Quantity on vertical axis Space separating pairs of bars

Histogram Show frequency of data divided into equal intervals Intervals on horizontal axis Quantity on vertical axis No space between bars Used for numerical data

Line Graph Show change over a period of time Time on horizontal axis Quantity on vertical axis A line connects each data point to the next data point

Line Plot Show frequency of data with a number line Draw a dot or “x” above the line for each piece of data. Used for numerical data

Stem and Leaf Plots A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

Sometimes you can use a stem and leaf plot to compare two different sets of data.

Example: Select an appropriate display to show the number of boys of different age ranges that participate in athletics Histogram x-axis = age ranges y-axis = number of boys IntervalsQuantity

Example: Select an appropriate display to show the percent of students in each grade at a middle school. Circle Graph Each section is one of the grades at the middle school Part of a whole

Example: The number of home runs hit by each player on a high school baseball team is shown in the list below. Select an appropriate display to show the frequency of data. Number of Home Runs: 10, 15, 5, 10, 12, 5, 12, 12, 4, 5, 10, 7. Line Plot Number line = home runs Numerical Data

Example: Select an appropriate display to show the median age of member in a community band. Measure of Variation Box-and-Whisker Plot Number line = ages

Example: Select an appropriate display to show the number of people who have different kinds of pets. Quantity Categories Bar Graph x-axis = categories y-axis = number of people

Example: Select an appropriate display to compare the number of men versus women that chose specific careers. Quantity Categories Double Bar Graph x-axis = career choices y-axis = number of people 2 sets of data

Example: Select an appropriate display to show the resale value of a person’s car over time. Change over time Line Graph x-axis = time (years) y-axis = value of car