SOLUTION: Following table gives study hours in a week by 100 students of class XI.Find out the arithmetic mean by step deviation method: Hours | No. of students <10 | 2 <20 | 6 <30

Algebra ->  Statistics  -> Describing-distributions-with-numbers -> SOLUTION: Following table gives study hours in a week by 100 students of class XI.Find out the arithmetic mean by step deviation method: Hours | No. of students <10 | 2 <20 | 6 <30      Log On


   



Question 1039304: Following table gives study hours in a week by 100 students of class XI.Find out the arithmetic mean by step deviation method:
Hours | No. of students
<10 | 2
<20 | 6
<30 | 35
<40 | 62
<50 | 80
<60 | 100

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let the class interval <40 be the zero basis for the step deviation.
Note that the class mark for the basis class interval is 35, and the class width is 10.
d | f | df
----------------
-3 | 2 | -6
-2 | 4 | -8
-1 | 29 | -29
0 | 27 | 0
1 | 18 | 18
2 | 20 | 40
----------------
| 100 |15
==> Mean = 35%2Bsum%28df%2C+i=1%2C6%29%2FN+=+35+%2B+%2815%2F100%29%2A10+=+36.5.