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What is a box and whisker plot used for full#
What is a box and whisker plot used for series#

Glossary Box plot a graph that gives a quick picture of the middle 50% of the data First Quartile the value that is the median of the of the lower half of the ordered data set Frequency Polygon looks like a line graph but uses intervals to display ranges of large amounts of data Interval also called a class interval an interval represents a range of data and is used when displaying large data sets Paired Data Set two data sets that have a one to one relationship so that: Since 25% of values fall between 31 and 38, we know that fewer than 25% fall between 31 and 35. Twenty-five percent of the values fall in the interval 38 to 41, and 25% fall between 41 and 64.

The interval from 31 to 35 years has the fewest data values.

Each interval lies within a quarter, so we cannot tell exactly where the data in that quarter is concentrated.

There is not enough information to tell.

There seems to be approximately a 14-year difference between the median and the third quartile.

The third quarter has the largest spread.

There seems to be only a three-year difference between the first quartile and the median.

The second quarter has the smallest spread.

However, this is not a rule, because there is so much variability in each data set.

Comparing the median ages, younger people tend to buy the BMW 3 series, while older people tend to buy the BMW 7 series.

What is a box and whisker plot used for series#

The BMW 3 series is most likely to have an outlier.

Each plot is skewed to the right, so the ages of the top 50% of buyers are more variable than the ages of the lower 50%.

Each box plot is spread out more in the greater values.

The box plot gives a good, quick picture of the data. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The “whiskers” extend from the ends of the box to the smallest and largest data values. Approximately the middle 50 percent of the data fall inside the box. The first quartile marks one end of the box and the third quartile marks the other end of the box. The smallest and largest data values label the endpoints of the axis. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

$what is a box and whisker plot used for$

We use these values to compare how close other data values are to them. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. They also show how far the extreme values are from most of the data. Testing the Significance of the Correlation Coefficientīox plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. Hypothesis Testing for Two Means and Two Proportions Two Population Means with Known Standard DeviationsĬomparing Two Independent Population Proportions Two Population Means with Unknown Standard Deviations Hypothesis Testing of a Single Mean and Single Proportion

What is a box and whisker plot used for full#

Rare Events, the Sample, Decision and ConclusionĪdditional Information and Full Hypothesis Test Examples Outcomes and the Type I and Type II Errorsĭistribution Needed for Hypothesis Testing The Central Limit Theorem for Sample Means (Averages)Ī Single Population Mean using the Normal DistributionĪ Single Population Mean using the Student t Distribution Mean or Expected Value and Standard Deviationĭiscrete Distribution (Playing Card Experiment)ĭiscrete Distribution (Lucky Dice Experiment) Probability Distribution Function (PDF) for a Discrete Random Variable Independent and Mutually Exclusive Events Histograms, Frequency Polygons, and Time Series Graphs Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs Definitions of Statistics, Probability, and Key Termsĭata, Sampling, and Variation in Data and Samplingįrequency, Frequency Tables, and Levels of Measurement