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Basic Statistics

Basic Statistics. Scales of measurement. Nominal The one that has names Ordinal Rank ordered Interval Equal differences in the scores Ratio Has a true 0. Measures of Central Tendency. Mode The most frequent number The bump in the graph. Measures of Central Tendency. Median

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Basic Statistics

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  1. Basic Statistics

  2. Scales of measurement • Nominal • The one that has names • Ordinal • Rank ordered • Interval • Equal differences in the scores • Ratio • Has a true 0

  3. Measures of Central Tendency • Mode • The most frequent number • The bump in the graph

  4. Measures of Central Tendency • Median • The one in the middle • Is a number in the array except in case of ties

  5. Measures of Central Tendency • Mean • Arithmetic average • The total of the numbers divided by the number of cases

  6. Frequency Distribution • A method of examining a group of scores • Ted 100 Amy 80 • Carmen 85 Carol 85 • Ralph 75 Tony 85 • Juanna 98 Martin 100 • Celeste 98 • Mo 100 • Joaquinne 95

  7. Tally • Score • 75 1 1 • 80 1 1 • 85 111 3 • 95 1 1 • 98 11 2 • 100 111 3

  8. Variance How are the score spread out Tells more than the mean of the group

  9. Variance • How are the scores spread out? • In other words, how far do the scores range from the mean? • Scores: • 10, 12, 13, 10, 9, 2, 13, 12, 12, 10

  10. Measures of Central tendency 10 12 13 10 9 2 13 12 12 10 Sum = 103 Mean= 10.3 Median= 11 Mode = 10 and 12

  11. Variance 10 12 13 10 2 9 13 12 12 10 -0.3 1.7 2.7 -0.3 -8.3 -1.3 2.7 1.7 1.7 -0.3 .09 2.89 7.29 .09 68.89 1.69 7.29 2.89 2.89 .09 sum of squares = 94.1 91.4/10 = 9.14 Square root of variance = 3.02

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