Statistical Measurements Range, Mean, Median and Mode.

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Presentation transcript:

Statistical Measurements Range, Mean, Median and Mode

Range Range is the difference between the greatest and the least number in a set of data.

Mean Mean is an average: the sum of the numbers in a data set, divided by the number of numbers.

Median Median is the middle value of a set of data that is listed in order.

Mode Mode is the number or numbers that occur most often in a set of data.

Example Pedro, Marta, Felix, Adriana and Saul are members of a club.Pedro, Marta, Felix, Adriana and Saul are members of a club. They took jobs to raise funds to purchase a sound system for their club.They took jobs to raise funds to purchase a sound system for their club. They will report their hourly earnings to the other club members. This is how they will present their report.They will report their hourly earnings to the other club members. This is how they will present their report.

Salary Range Pedro earned $7/hour. Marta earned $9/hour. Felix earned $6/hour. Adriana earned $7/hour. Saul earned $10/hour. $6$7$9$10 $7 The most we can raise is $10/hour. The least is $6/hour. Our earnings’ range is $4.

Salary Mean Pedro earned $7/hour. Marta earned $9/hour. Felix earned $6/hour. Adriana earned $7/hour. Saul earned $10/hour. Our Mean (Average) Salary is $7.80. If we all earned the same hourly salary, we would raise $7.80/hour each. $7 + $9 + $6 + $7 + $10 = $39 $39  5 = $7.80

Salary Median Pedro earned $7/hour. Marta earned $9/hour. Felix earned $6/hour. Adriana earned $7/hour. Saul earned $10/hour Looking at our list of salaries in order, the one in the middle of the list is $7. The median of what we raised per hour is $7. $6$7$7$9$10

Salary Mode Pedro earned $7/hour. Marta earned $9/hour Felix earned $6/hour. Adriana earned $7/hour. Saul earned $10/hour Looking at our list of salaries in order, the $7 is the one that occurs most often. It is repeated twice. The salary mode is $7. The most popular salary was $7 per hour. $6$7$7$9$10

Questions Pedro earned $7/hour. Marta earned $9/hour. Felix earned $6/hour Adriana earned $7/hour. Saul earned $10/hour. If all five worked 20 hours a week for six weeks, how would they report their total earnings to the club? Will the range, mean, median, and mode change? How? Why? What measurements give the most useful information? Why?