Class Interval | Frequency |
0-10 | 5 |
10-20 | x |
20-30 | 20 |
30-40 | 15 |
40-50 | y |
50-60 | 5 |
Total | 60 |
Arrangement:
Given information, n = 60
Middle of the given information = 28.5
Where, n/2 = 30
Middle class is 20 – 30 with an aggregate recurrence = 25+x
Lower cutoff of middle class, l = 20,
Cf = 5+x,
f = 20 and h = 10
Substitute the qualities
\[\begin{array}{*{35}{l}}
28.5=20+\left( \left( 30-5-x \right)/20 \right)\text{ }\times \text{ }10 \\
~ \\
8.5\text{ }=\text{ }\left( 25\text{ }\text{ }x \right)/2 \\
~ \\
17\text{ }=\text{ }25-x \\
\end{array}\]
Along these lines, x =8
Presently, from aggregate recurrence, we can recognize the worth of x + y as follows:
Since,
60=5+20+15+5+x+y
Presently, substitute the worth of x, to discover y
\[\begin{array}{*{35}{l}}
~ \\
60\text{ }=\text{ }5+20+15+5+8+y \\
~ \\
y\text{ }=\text{ }60-53 \\
~ \\
y\text{ }=\text{ }7 \\
\end{array}\] Along these lines, the worth of x = 8 and y = 7.