Question

The following table gives the number of branches and number of plants in the garden of a school.
No. of branches (x): 2 3 4 5 6
No. of plants (f): 49 43 57 38 13

Answer 1

The complete question is,

Calculate the average number of branches per plant.

The average number of branches per plant is 3.615.

Given,

Let the assumed mean be A = 4.

No. of branches    No. of plants    ui = xi - A            fi*ui

(xi):                            (fi):

2                                49                  2-4=-2               -98

3                                43                  3-4=-1                -43

4                                57                  4-4=0                 --

5                                38                  5-4=1                 38

6                                13                   6-4=2                26

∑ fi = N = 200

∑ fi*ui = -77

Average number of branches per plant,

$= A + \dfrac{\sum fi*ui}{N}$

= 4 + -77 / 200

= 4 - 77/200

=4 - 0.385

= 3.615

Answer 2

Mean  = 28.92

Step-by-step explanation:

No. of branches (x): 2 3 4 5 6

No. of plants (f): 49 43 57 38 13

              fx: 98 ; 129 ; 228 ; 190 ; 78

Sum of frequency = 200

Sum of fx = 723

Mean = Sum of fx / sum of f  

= 723/ 25

= 28.92