Question

Where does the Arithmetic Mean lie? The marks obtained by Sarala, Bindu, Geeta, and Rekha in Telugu, Hindi, and English are given below.

Students	Telugu	Hindi	English
Sarala	20	16	15
Bindu	14	10	20
Geeta	16	12	18
Rekha	14	10	15

 (i) What do you observe from the above table ?

(ii) Does the mean lies between

Answer 1

Now, let us calculate the average marks obtained by the students in each subject.

	Telugu	Hindi	English
Arithmetic Mean	= \(\frac {20+14+16+14}{4}\) = 64/4 = 16	\(\frac {16+10+12+10}{4}\) = 48/4 = 12	\(\frac {15+20+18+15}{4}\) = 68/4 = 17
Highest marks	20	16	20
Least marks	14	10	15

i) Mean always lie between the maximum and minimum values/observations of the data.

ii) Yes, Its always true. i.e., Mean always lies between the maximum and minimum values of the data.