Given,
In a continuous series, mean (\(\overline x\)) = 24
The number of terms (N) = 10 and,
∑fx = 200 + a
To find the value of a,
By formula,
Mean (\(\overline x\)) = \(\frac{\sum_{fx}}N\)
or, 24 = \(\frac{200+a}{10}\)
or, 200 + a = 240
or, a = 240-200
or, a = 40
Therefore, the value of a = 40.