Question

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.




Number of students per teacher



Number of states/U.T





15 − 20



3





20 − 25



8





25 − 30



9





30 − 35



10





35 − 40



3





40 − 45



0





45 − 50



0





50 − 55



2​

Answer 1

Answer:

15_20

3

50_55

2

45_50

0

40_45

0

Answer 2

Answer:

Mean= 29.69

Mode= 30.625

MAY BE MY ANSWER IS WRONG PLZ CHECK IN THE ANSWER FIRST.

Step-by-step explanation:

first, draw

class |  fi  | xbar(mid-value)  | ui=$\frac{x-A}{h}$  | fiui  |

15-20   3           17.5                    -3     -9

20-25   8          22.5                   -2     -16

25-30   9          27.5                    -1      -9

30-35   10        [32.5] A              0       0

35-40   3          37.5                    1       3

40-45   0          42.5                   2       0

45-50   0          47.5                    3       0

50-55   2          52.5                   4       8

          n = 41                                        Σfiui = (-23)

Now,

Mean = A + $\frac{ fiui}{n}$ * h

place the value

A=32.5,

fiui= (-23),

n=41,

h=5

OK.

Now,

Mode = L + $\frac{f1-f0}{2f1-f0-f2}$ * h

place the value,

L  = 30,

f1  = 10,

f0 = 9,

f2 = 3,

h  = 5,

OK.