 Measures of central tendency  Measures of central tendency are a combination of two words i.e. ‘measure’ and ‘Central tendency’. Measure means methods and central tendency means average value of any statistical series. Thus we can say that central tendency means the methods of finding out the central value or average value of a statistical series of quantitative information.

1) Mean :

X F XFXF

Ex:-2 Find the mean for the following frequency distribution table. Ans: x Class Frequency Class – a

2) Median:

Marks No. of students MarksNo. of studentsC.F

3) Mode: Mode is the value which occurs most frequently in a set of observations. In case of frequency distribution, the value having maximum frequency is mode.  Mode of continuous frequency distribution: In this case of continuous frequency distribution i.e., when the data are given in the class corresponding to the highest frequency is called the model class and the mode can be calculated as follow:

Ex:-1 Calculate the mode of the following data. 1, 5, 3, 4, 5, 3, 1, 7, 6, 5, 4, 1, 4, 9, 8, 4. Ans: Observe that the observation 4 occurs maximum times. Thus the mode is 4. Ex:-2 Calculate the mode for the following data. Ans: Here, the highest frequency is 32. corresponding to the class Thus, The model class is Marks No. of students

THANK YOU