Class mark and Class size of the class intervals are 25 and 10 respectively then the class interval is
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The class mark and class size are given as 25 and 10, respectively. The class mark is the midpoint of the class interval, and the class size is the difference between the upper and lower limits of the class interval.
Let the class interval be represented as:
Lower Limit = L, Upper Limit = U.
The class mark is calculated as:
Class Mark = (L + U) / 2.
Substitute the given class mark (25):
25 = (L + U) / 2.
Multiply through by 2:
L + U = 50. — (1)
The class size is the difference between the upper and lower limits:
Class Size = U – L.
Substitute the given class size (10):
10 = U – L. — (2)
Now solve the system of equations (1) and (2):
From (2): U = L + 10.
Substitute U = L + 10 into (1):
L + (L + 10) = 50,
2L + 10 = 50,
2L = 40,
L = 20.
Substitute L = 20 into U = L + 10:
U = 20 + 10 = 30.
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