How do you find the mean absolute deviation for the numbers 69, 78, 80, 88, 88, 88, 88, 101, 102, and 108?

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Answer 1 · 2018-07-13T18:17:34

#"Mean Absolute Deviation "=88/10=8.8#

We know that ,
#color(red)("Mean Absolute Deviation " = (sum|x_i-barX|)/N#

#Where , x_i ="data value" and sumx_i="sum of data values"#

#color(blue)(barX=(sumx_i)/N=Mean#

#N="Number of values"#

#color(green)(|x_i-barX|="Absolute deviation"#

Here ,

#x_i:69,78,80,88,88,88,88,101,102,108#

#=>sumx_I=890 and N=10#

#=>color(blue)(barX=890/10=89#

#x_i-barX=-20,-11,-9,-1,-1,-1,-1,12,13,19#

#color(green)(|x_i-barX|=20,11,9,1,1,1,1,12,13,19#

#sum|x_i-barX|=88#

So,
#color(red)("Mean Absolute Deviation "=88/10=8.8#