Question

Find the median class interval 0 10 10 20 20 30 30 40 40 50 and frequency 8 12 10 11 9

Answer 1

Answer:median is 25.

Median class is 20-30

Frequency is 10

Cumulative frequency is 20

Height is 10

Step-by-step explanation:

Answer 2

The median is 25 for this given data :

Class interval   | 0 -10|  | 10- 20|  | 20- 30|  |30 - 40|  |40 - 50 |

Frequency           |  8 |      |  12 |     | 10 |         | 11  |      | 9|

Concept used :

• For this, we find the Cumulative frequency (cf) of all the classes and $\frac{n}{2}$, where n = the number of observations.
• Now find the class whose Cumulative frequency is greater than and nearest to $\frac{n}{2}$ and this class is called the median class, then use the following formula for calculating the median.

Formula used :

$Median = l + (\frac{\frac{n}{2} - c.f}{f})h$

Where,

l = lower limit of the median class

n = number of observations

cf = cumulative frequency  of class interval preceding the  median class

f = frequency  of median class

h = class  size

Solution :

Step 1 : Find the value of $\frac{n}{2} :$

From the table attached, n = 50 then $\frac{n}{2} = \frac{50}{2} = 25$

Since the cf just greater than 25 is 30 and the corresponding class interval is (20 - 30).

Step 2 : Calculate the Median by using the median formula :

Here, Median class = 20 - 30, l = 20, cf = 20 ; f = 10, h = 10 , $\frac{n}{2}$ = 25

$Median = l + (\frac{\frac{n}{2} - c.f}{f}) \times h$

$Median = 20 + (\frac{{25} - 20}{10})\times10$

$= 20 + (\frac{5}{10})\times10$

= $20 + (\frac{1}{2})\times10$

= 20 + 5

Median = 25

Hence, the median is 25.

Learn more on Brainly :

Find the median of the following frequency distribution.

C.I.: 0–10 10–20 20–30 30–40 40–50 50–60

f : 5 3 10 6 4 2.

https://brainly.in/question/2883753

Calculate the arithmetic mean and the median for the following data.

Class interval 0-10 10-20 20–30 30-40 40-50

Frequency 7 10 15 8 10

https://brainly.in/question/9861788

​#SPJ3