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The word “statistics” is derived from the modern Latin statisticus (“state affairs”).

In the eighteenth century,* the German political scientist Gottfried Achenwall (1719–1779) brought statistisch into general usage.

The English word “statistics” is thus derived from the German statistisch

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6.SP.A Develop understanding of statistical variability.

6.SP.A.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for variability in the answers. For example, "How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question because one anticipates variability in students' ages.

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution whose general characteristics can be described by its center, spread, and overall shape.

6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation uses a single number to describe the spread of the data set

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Mean-average that is used to derive the central tendency of the data
Median-is a simple measure of central tendency, it is the middle value
Mode-the most frequently occurring number found in a set of numbers
Population-refers to the total set of observations that can be made
Sample-usually represents a subset of manageable size
Range-the difference between the largest and smallest values

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How much do you spend on gasoline in a week?

How many people choose cake for dessert in the cafeteria?

How many students get into their first choice college?

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School if finally out for the summer. You are going on vacation with your family to Hawaii. Determine which is the statistical question: What is the temp like in May in Hawaii? OR What is the temp today in Hawaii? Then figure out the mean, median, mode, and range. We will do this problem together.

Average Temp in degrees Fahrenheit
85 73 79 89 70 88 87 88 89 85 86 72 78 74 82 83 83 96 75 86 87 88 72 73 78 79 85 85 81 86 81

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Average Temp in degrees Fahrenheit
85 73 79 89 70 88 87 88 89 85 86 72 78 74 82 83 83 96 75 86 87 88 72 73 78 79 85 85 81 86 81

First thing we will do is organize the tempretures in order from lowest to highest.

70 72 72 73 73 74 75 78 78 79 79 81 81 82 83 83 85 85 85 85 86 86 86 87 87 88 88 88 89 89 96

Next we add up all of the temps (2543) and divide by the number of temperatures we are given (31) so

2543/31= 82.3
This is the mean.

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In order to find the median we find the number that is the middle, we have already put the temp in order so the data is organized and this makes it possilbe to find the median. If there were two numbers it would be the both of them divided by 2 for the median.

7̶0̶ ̶7̶2̶ ̶7̶2̶ ̶7̶3̶ ̶7̶3̶ ̶7̶4̶ ̶7̶5̶ ̶7̶8̶ ̶7̶8̶ ̶7̶9̶ ̶7̶9̶ ̶8̶1̶ ̶8̶1̶ ̶8̶2̶ 83   83    ̶8̶5̶ ̶8̶5̶ ̶8̶5̶ ̶8̶5̶ ̶8̶6̶ ̶8̶6̶ ̶8̶6̶ ̶8̶7̶ ̶8̶7̶ ̶8̶8̶ ̶8̶8̶ ̶8̶8̶ ̶8̶9̶ ̶8̶9̶ ̶9̶6̶ ̶

83 is the median. It is the number in the middle

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The mode is the number that appears the most

70
72 72
73 73
74
75
78 78
79 79
81 81
82
83 83
85 85 85 85
86 86 86
87 87
88 88 88
89
89
96

The number that appears more times than any other is 85.
85 is the mode

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70 72 72 73 73 74 75 78 78 79 79 81 81 82 83 83 85 85 85 85 86 86 86 87 87 88 88 88 89 89 96

70 the lowest
96 the highest

26 The Range

You will subtract the lowest number from the largest number.
Our range is 26.

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The 'stem' values are listed down, and the 'leaf' values go right from the stem values. In our example the first digit is the 'stem' and the second digit of the temperature is the 'leaf'. This is one way to organize the data to make it easier to view.

7/0 2 2 3 3 4 5 8 8 9 9

8/1 1 2 3 3 5 5 5 5 6 6 6 7 7 8 8 8 9 9

9/6

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Genetics

Many people are afflicted with diseases that are genetic and these diseases could be passed on to their children. Statistics can help determine the chances of a new baby being affected by the genetic condition.

Weather Forecasts
Meteorologists uses computer models that are built using statistics that compare prior weather conditions with current weather to predict future weather.

Emergency Preparedness

If weather forecasts indicate  a hurricane or tornadoes are likely to occur, emergency services move into high gear to be ready to help. Emergency teams rely on statistics to tell them when danger may occur.

Medicine
Statistics play a big role in the medical field. Before any medicine can be prescribed, scientist must show it is  statistically effectiveness.

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What is the average heart rate of students in this class?

A normal resting heart rate for adults ranges from 60 to 100 beats a minute. Generally, a lower heart rate at rest implies more efficient heart function and better cardiovascular fitness

1.  Students will pair up
2. Student A will hold the stop watch
3. Student B will take their own heart rate by  placing two fingers on a          pressure point, either at their neck or wrist. (as pictured below)
4. Student A will let student 2 know when 30 seconds have passed
5. Student B will count how many times they can feel their heart beat in that time
6. Multiply that number by 2 and we have your heart beats per minute. (This is the number you will write on the board. )
7. Once each pair of students have their respective heart rates they will write them on the board to share with the entire class. This will be the pool of data we are working with.
8. Then as a pair, (or individually if you prefer) determine the mean, median, mode. And explain which is most appropriate average for our purposes.

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Gorroochurn, Prakash. The History of Modern Mathematical Statistics: from Laplace to Recent Times, John Wiley & Sons, Incorporated, 2016

'Populations, Samples, Parameters, and Statistics'. N.p., n.d. Web. 02 May 2018.

<https://www.cliffsnotes.com/study-guides/statistics/sampling/populations-samples-parameters-and-statistics>

'10 Everyday Reasons Why Statistics Are Important' N.p., n.d. Web. 01. May 2018. <http://www.mathworksheetscenter.com/mathtips/statsareimportant.html>

'Stat Trek-teach yourself statistics'. Copyright © 2018 StatTrek.com. Web. 02 May 2018 <http://stattrek.com/statistics/dictionary.aspx?definition=population>

Sample (statistics).N.p., n.d. Web. 19 March 2018

https://en.wikipedia.org/wiki/Sample_(statistics)

St. Clair Wellness Center. N.p. 18 Apr 2018. Web. 02 May 2018 <http://stclairwellness.net/check-your-heart-rate/>