# In a frequency distribution, the mid value of a class is 15 and the class interval is 4 . The lower limit of the class is ?

$Let\;the\;lower\;limit\;be\;L\;and\;upper\;limit\;be;U.\\* U-L=4.....eq.(1)\\* and,\; \frac{U+L}{2}=15=U+L=30......eq.(2)\\* now,\;subtract\;eq.(2)\;from\;eq.(1)\;and\;we\;get,\;\\* -2L=-26\Rightarrow L=13\\* Hence,\;lower\;limit\;(L)\;is\;13$

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