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Descriptive statisticsStatistics and probabilityMiddle schoolabout 1:07

Mean, median, mode of 10, 17, 1, 20, 3, 19, 2, 30, 7: animated lesson

A narrated, step-by-step descriptive statistics video lesson with captions. Final answer: Mean = 12.11111111; Median = 10; Mode = no mode; Range = 29.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.4 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Mean, median and mode
    Data: 10, 17, 1, 20, 3, 19, 2, 30, 7
  2. 2. Steps, part 1
    1. 1,2,3,7,10,17,19,20,30(n=9)1, 2, 3, 7, 10, 17, 19, 20, 30\quad (n = 9)
      Sort the data from smallest to largest
    2. xˉ=1099=12.11111111\bar{x} = \frac{109}{9} = 12.11111111
      Mean: add the values and divide by how many there are
    3. median=10\text{median} = 10
      Median: the middle value of the sorted list
    4. Mode: the value(s) that appear most often
  3. 3. Steps, part 2
    1. 30−1=2930 - 1 = 29
      Range: largest minus smallest
  4. 4. The answer
    Mean = 12.11111111; Median = 10; Mode = no mode; Range = 29\text{Mean = 12.11111111; Median = 10; Mode = no mode; Range = 29}

    mean 12.11111111, median 10, mode no mode, range 29

  5. 5. Check
    • Sum 109 = mean × n = 12.11111111 × 9 = 109

Transcript

The problem. Here is the problem: Data: 10, 17, 1, 20, 3, 19, 2, 30, 7. Measures of central tendency for a list of numbers.

Steps, part 1. Sort the data from smallest to largest. Mean: add the values and divide by how many there are. Median: the middle value of the sorted list. With 9 values (odd), the median is value number 5. Mode: the value(s) that appear most often. Every value appears exactly once, so there is no mode.

Steps, part 2. Range: largest minus smallest.

The answer. So the answer is Mean equals 12.11111111; Median equals 10; Mode equals no mode; Range equals 29. The mean balances all values, the median splits the sorted data in half and is less affected by outliers, and the mode is the most common value.

Check. Sum 109 equals mean times n equals 12.11111111 times 9 equals 109.

About descriptive statistics

Mean, median, mode, range, variance and standard deviation of a data set.

More lessons like this

Mean, median, mode of 10, 17, 1, 20, 3, 19, 2, 30, 7