1. Mode is defined as the score with the highest frequency. The most frequent score. It is called a nominal statistics. In a grouped data it is the mid point of the class interval with the highest frequency. Characteristics of the Mode 1 . A nominal statistics. 2 . An inspection average. 3. The most frequently occurring score. 4 . Usually occurs near the center of the distribution. 5 . Cannot be obtained by mathematical operations. 6 . The most popular scores. 7 . Some distribution have more than one popular score.

3. 2. 54, 45, 78,34,89, 45, 54 54 and 45 are the mode. It is called bimodal . A bimodal has two most frequent scores occurring. A score with three most frequent score is called trimodal.

4. Finding the Mode for Grouped Data Formula: Mode = where; Mo = mode Ll =lower limit of the class interval with the highest frequency ∆ 1 = highest frequency minus the frequency before the modal class ∆ 2 = highest frequency minus the frequency after the modal class Steps: 1. Prepare a table containing the class interval, frequency . 2. Compute for ∆1 and ∆2. 3. Substitute data to the formula.

5. Illustrative Example:Compute for the mode using grouped data. N = 50 2 12 11 - 13 2 15 14 - 16 2 18 17 - 19 2 21 20 - 22 6 24 23 - 25 12 27 26 - 28 6 30 29 - 31 4 33 32 - 34 2 36 35 - 37 3 39 38 - 40 4 42 41 - 43 3 45 44 - 46 2 48 47 - 49 Frequency (f) midpoint ci

6. Solution: 1. The table reveals that the lower limit of the class interval with the highest frequency is 25.5. 2. Compute for ∆1 and ∆2. ∆ 1 = 12 -6 = 6 ; ∆ 2 = 12 -6 = 6 3. Substitute data to formula = 27

7. Interpretations: The modal class is computed to be 27. This was found to be lower than the computed mean and median which were found to be both 30. This indicate that majority of the students were found below the mean and median.