Question

the median of the following data is 28.5 find the value of x and y
class frequency
0-10 5
10-20 x
20-30 20
30-40 15
40-50 y
50-60 5​

Answer 1

The values are $x=8$ and $y=7$

Explanation:

It is given that the median of the given data is 28.5

First, let us find the cumulative frequency of all the given intervals.

The table showing the cumulative frequency of all the intervals is attached below:

Since median = 28.5 which  lies in the class interval 20-30.

The formula to determine the median is given by  

$\text { Median }=l+[\frac{\frac{n}{2}-c f}{f}] \times h$

where $l=20, f=20, c f=5+x, h=10, n=60$

Substituting the values, we get,

$28.5=20+[\frac{30-(5+x)}{20}] \times 10$

Simplifying, we have,

$8.5=\frac{25-x}{2}$

Multiplying 2 on both sides, we get,

$17=25-x$

Subtracting, we have,

$x=8$

Since, from the table, we have,

$x+y+45=60$

Simplifying, $x+y=15$

Substituting, $x=8$ , we get,

$y=15-8=7$

Thus, $y=7$

Hence, The values are $x=8$ and $y=7$

Learn more...

1. brainly.in/question/2885472

2. brainly.in/question/3702498