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Statistics & Probability: Measures of Center and Location
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Lesson Goals: Calculate measures of center, given a data set or a graphical display • Interpret the measures of center • Analyze the effect of extreme values on the value of the mean and median • Analyze the relationship between center and shape CA - Statistics & Probability A Warm-Up: Lesson Vocab: • Mean ● Median Mode ● Parameter • Population ● Resistant measure • Sample ● Statistic Measures of Center and Location ★ Symmetric distribution - Identical on both sides of an imaginary center line Population - The entire group of people/objects ★ Sample - A subset/select group of individuals within a population Parameter - A number that describes some characteristic of a population Statistic - A number that describes some characteristic of a sample ★ Mean - The average of all the individual data values ★Mode - Most frequently occurring value; Has the highest frequency ★ Median The midpoint of a distribution. A number such that ½ the observations are smaller and the other ½ are larger. The median is found by arranging data from least to greatest and identifying the middle value; When there is an even number of values and no middle value, the average of the two middle most values is the median. For a histogram, identify the value of each bar, add the values together, and divide the total by 2. From there it can be determined that the given...
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Alternative transcript:
number +1 would be the estimated median of the graph. From there, you would need to determine which bars add up to that value to find which bar on the histogram represents the median. Resistant Measure - A statistical measure that is not sensitive to extreme values(Outliers) The Mean is not a resistant value ● The median is a resistant value
- Calculate measures of center, given a data set or a graphical display - Interpret the measures of center - Analyze the effect of extreme values on the value of the mean and median - Analyze the relationship between center and shape
- Calculate measures of center, given a data set or a graphical display - Interpret the measures of center - Analyze the effect of extreme values on the value of the mean and median - Analyze the relationship between center and shape
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Lesson Goals: Calculate measures of center, given a data set or a graphical display • Interpret the measures of center • Analyze the effect of extreme values on the value of the mean and median • Analyze the relationship between center and shape CA - Statistics & Probability A Warm-Up: Lesson Vocab: • Mean ● Median Mode ● Parameter • Population ● Resistant measure • Sample ● Statistic Measures of Center and Location ★ Symmetric distribution - Identical on both sides of an imaginary center line Population - The entire group of people/objects ★ Sample - A subset/select group of individuals within a population Parameter - A number that describes some characteristic of a population Statistic - A number that describes some characteristic of a sample ★ Mean - The average of all the individual data values ★Mode - Most frequently occurring value; Has the highest frequency ★ Median The midpoint of a distribution. A number such that ½ the observations are smaller and the other ½ are larger. The median is found by arranging data from least to greatest and identifying the middle value; When there is an even number of values and no middle value, the average of the two middle most values is the median. For a histogram, identify the value of each bar, add the values together, and divide the total by 2. From there it can be determined that the given...
Lesson Goals: Calculate measures of center, given a data set or a graphical display • Interpret the measures of center • Analyze the effect of extreme values on the value of the mean and median • Analyze the relationship between center and shape CA - Statistics & Probability A Warm-Up: Lesson Vocab: • Mean ● Median Mode ● Parameter • Population ● Resistant measure • Sample ● Statistic Measures of Center and Location ★ Symmetric distribution - Identical on both sides of an imaginary center line Population - The entire group of people/objects ★ Sample - A subset/select group of individuals within a population Parameter - A number that describes some characteristic of a population Statistic - A number that describes some characteristic of a sample ★ Mean - The average of all the individual data values ★Mode - Most frequently occurring value; Has the highest frequency ★ Median The midpoint of a distribution. A number such that ½ the observations are smaller and the other ½ are larger. The median is found by arranging data from least to greatest and identifying the middle value; When there is an even number of values and no middle value, the average of the two middle most values is the median. For a histogram, identify the value of each bar, add the values together, and divide the total by 2. From there it can be determined that the given...
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Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
number +1 would be the estimated median of the graph. From there, you would need to determine which bars add up to that value to find which bar on the histogram represents the median. Resistant Measure - A statistical measure that is not sensitive to extreme values(Outliers) The Mean is not a resistant value ● The median is a resistant value