Question

Calculate the median from the following data:
Marks below: 10 20 30 40 50 60 70 80
No. of students: 15 35 60 84 96 127 198 250

Answer 1

Answer:

432.5

Step-by-step explanation:

CF = 15,50,110,194,290,417,615,865

Thus, Median = Value of n/2 observation

= 865/2 = 432.5

Answer 2

The median of the given data = 59.35

Step-by-step explanation:

Prepare the cumulative frequency table:

Marks below:             10    20    30    40    50    60   70     80

Frequency:                  15    20    25    24    12     31    71      52

No. of students(CF):  15    35    60    84    96   127  198   250

Here, total number of students (n) = 250

∴ $\dfrac{n}{2}$ = $\dfrac{250}{2}$ = 125

cf = 96, f = 127 - 96 = 31, l = 50

Median = $l+\dfrac{\dfrac{n}{2}-cf}{f} \times h$

$= 50+\dfrac{125-96}{31} \times 10$

$= 50+\dfrac{29}{31} \times 10$

= 50 + 9.35

= 59.35

Thus, the median of the given data = 59.35