Question

Find the mode of the following frequency distribution of marks obtained by 50 students.
Marks obtained 0-10 10-20 20 - 30 30-40 40 - 50
No. of students 5 12 20 10 3​

Answer 1

The mode is "24.44".

Step-by-step explanation:

The below table:

Marks obtained       0-10    10-20    20 - 30    30-40     40 - 50

No. of students        5         12           20           10            3​

As the class 20-30 has maximum frequency. it is caled modal class.

∴ Frequency = 20

$x_{k}$ = 20, $f_{k}$ = 20, $f_{k -1}$ = 12,

$f_{k + 1}$ = 10 and h = 10

∴ Mode = 20 + $\dfrac{20 - 12}{40 - 12 - 10}$ × 10

= 20 +

= 20 + 4.44

= 24.44

Hence, the mode is "24.44".