Calculate the mean of the following data : Class 4 – 7 8 –11 12– 15 16 –19 Frequency 5 4 9 10
Calculate the mean of the following data : Class 4 – 7 8 –11 12– 15 16 –19 Frequency 5 4 9 10

The given information isn’t constant.

Thus, we deduct 0.5 from as far as possible and add 0.5 in the maximum furthest reaches of each class.

Class      Class Marks (xi)  Frequency (fi)     fixi

3.5 – 7.5              5.5         5             27.5

7.5 – 11.5            9.5         4             38

11.5 – 15.5          13.5       9             121.5

15.5 – 19.5          17.5       10           175

    \[\Sigma fi\text{ }=\text{ }28~\sigma fixi\text{ }=\text{ }362\]

Mean,

NCERT Exemplar Class 10 Maths Chapter 13 Ex. 13.3 Question 3

Accordingly, mean of the given information = 12.93.