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2-3: Measures of Central Tendency. A typical, or central entry of a data set. MEAN: average µ=population mean = Σ x/N =sum of data÷population x = sample mean = Σ x/n = sum of data ÷ sample MEDIAN: middle put in numerical order Find middle #, or add 2 middle #’s & ÷ 2

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2 3 measures of central tendency
2-3: Measures of Central Tendency

  • A typical, or central entry of a data set.

  • MEAN: average

    µ=population mean = Σx/N =sum of data÷population

    x = sample mean = Σx/n = sum of data ÷ sample

  • MEDIAN: middle

    put in numerical order

    Find middle #, or add 2 middle #’s & ÷ 2

  • MODE: most frequent


Find the mean median mode
Find the mean, median & mode

500 840 470 480 420 440 440

500 840 470 480 420 440

Mean

Median

Mode

  • Mean

  • Median

  • Mode


Find the mean median mode1
Find the mean, median & mode

500 840 470 480 420 440 440

500 840 470 480 420 440

Mean

500+840+470+480+420+440 =

3150

3150/6 = 525

Median

Mode

  • Mean

    500+840+470+480+420+440+ 440 = 3590

    3590/7 = 512.857 ≈ 513

  • Median

  • Mode


Find the mean median mode2
Find the mean, median & mode

500 840 470 480 420 440 440

500 840 470 480 420 440

Mean

500+840+470+480+420+440 =

3150

3150/6 = 525

Median

420 440 470 480 500 840

2 mids: 470 +480 =950/2=475

Mode

  • Mean

    500+840+470+480+420+440+ 440 = 3590

    3590/7 = 512.857 ≈ 513

  • Median

    420 440 440 470 480 500 840

    middle entry is 470

  • Mode


Find the mean median mode3
Find the mean, median & mode

500 840 470 480 420 440 440

500 840 470 480 420 440

Mean

500+840+470+480+420+440 =

3150

3150/6 = 525

Median

420 440 470 480 500 840

2 mids: 470 +480 =950/2=475

Mode: none

  • Mean

    500+840+470+480+420+440+ 440 = 3590

    3590/7 = 512.857 ≈ 513

  • Median

    420 440 440 470 480 500 840

    middle entry is 470

  • Mode: 440 occurs most


Measures of c entral tendency
Measures of Central Tendency

  • Bimodal: If 2 numbers occur MOST frequently. 2 modes exist

  • Outlier: A data entry very far away from all the other data. Can affect the mean. Sometimes outliers are removed from data before computing central tendencies.


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