Find out the missing item x of the following distribution, where arithmetic mean (¯X) is 11.37
X57X11131620Frequency (f)2429541184
Calculation of Missing Item
XFrequency (f)fx52107428x2929(x)1154594131114316812820480∑f=112∑fx=983+29x
∴¯X=∑fx∑f
⇒11.37=983+29x112
⇒1273.44=983+29x
⇒29x=290.44
⇒x=10.01=10
Hence, the missing value is 10.