Chapter 13.1-13.5 Study Guide

How much of your data lies between the maximum and minimum of your data on a box-and-whisker plot?

100%

Solve the following equation: 7/8x - 54 = 120

198 6/7

How much of your data lies between the median (Q2) of your data and the median of your lower half (Q1) of data on a box-and-whisker plot?

25%

On a box-and-whisker plot, how much is each box worth (percentage of data?)

25%

On a box-and-whisker plot, how much is each whisker worth (precentage of data?)

25%

Solve the following equation: 3/4x + 12 = 35

30 2/3

How much of your data lies between the median (Q2) of your data and the upper extreme of your data on a box-and-whisker plot?

50%

How much of your data lies between the median of your lower half of data (Q2) data and upper extreme of your data on a box-and-whisker plot?

50%

How much of your data lies between the median (Q2) of your upper half of the data and the lower extreme on a box-and-whisker plot?

75%

Solve the following equation: 9x - 18 = 65

9 2/9

What is an outlier?

A number that is much greater or much smaller than the rest of the data

How do you find the mean of a set of data?

Add all your numbers and divide by the number of addends (the numbers of digits you added up)

If you find two numbers in the middle when finding the median of a set of data, what MUST you do?

Add them together and divide by two (find their mean).

How do you draw a stem-and-leaf plot?

Ararnge the data from least to greatest,

How do you create a box and whisker plot?

Find the median of the whole data, median of the lower half of the data, median of the upper half of the data, smallest and greatest numbers, create a number line, and use these medians and extremes to plot point ABOVE the number line, and then draw whisker, box, box, whisker. (See examples in textbook and previous assignments)

How do you find the mode of a set of data?

Find the number in the set of data that REPEATS the most

Which measure of central tendency would be best to describe the data? Explain. 82, 95, 78, 56, 64, 50, 94, 84, 78, 52

Mean; there are NO OUTLIERS that would make the data appear greater or smaller than it really is.

Determine what measure of central tendency BEST describes the data. 878, 945, 68, 784, 858, 962, 799, 830, 900, 854, 794, 812, 912

Median, there is an outlier

What measure of central tendency BEST describes the data? 200, 2015, 215, 206, 210, 209, 225, 217, 219

Median; there is an outlier in the data (2015)

A real estate guide lists the "average" home prices for counties in your state. Do you think the mean, median, or mode would be the most useful average for homebuyers? Explain.

Median; there will always be some houses that are MUCH greater than the "norm" of the county, therefore making the other prices appear greater (these much bigger homes will bring up the mean, costing homebuyers more money)

Which measure of central tendency BEST describes the data? 12, 18, 12, 13, 15, 12, 15, 18, 13, 14, 15, 19

Mode; many of the numbers repeat

Is it possible to have two medians?

NO!!! You MUST find the mean of the two numbers in the middle. THIS number will become the data's median.

How do you find the range of a set of data and why is it useful?

Subtract the lowest number from the greatest number; it helps you determine intervals when creating your graph

What is an upper extreme? What is another name for the upper extreme?

The GREATEST number in a set of data; maximum

Why is it important to identify if you have an outlier in your data?

When finding the mean of the data, it will make the mean of the data much greater or smaller than it really it (misleading)

stem and leaf plots

a graph that uses stems and leaves to display data; data is arranged in order of least to greatest on this type of graph

box and whisker plots

a graph/plot that uses a number line to show the distribution of a set of data into four parts using the median and quartiles

histograms

a type of graph similar to a bar graph that uses bars and intervals to display data; uses numerical data instead of categorical data

What are the other two namesfor the median in the lower half of the data on a box-and-whisker plot?

lower quartile, or quartile 1

What is a lower extreme? What is another name for the lower extreme?

the SMALLEST number in the data; minimum

What are the other two names for the median of the upper half of the data on a box-and-whisker plot?

upper quartile, or quartile 3

Can you find the mean, median and mode of a set of data when looking at a histogram? Explain your answer.

No, the histgram does not display each individual number; it breaks the down down into intervals using a frequency table and therefore exact numbers are not displayed on the graph, making it impossible to find the measures of central tendency (mean, median, mode)

How do you find the median of a set of data?

Put your numbers in order of least to greatest and find the middle number (cross one out from each end until you get the middle number)

What is another name for the median of the data on a box-and whisker plot?

Quartile 2