Answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation (MAD) is 9.1
Step-by-step explanation:
we have
set of data [tex][135,160,145,155,170,150,142][/tex]
step 1
Find the mean
Sum all the values and divide by the number of values
[tex][135+160+145+155+170+150+142]/7=1,057/7=151[/tex]
step 2
Determine the absolute value of subtract the mean from each value
[tex]\left|135-151\right|=16[/tex]
[tex]\left|160-151\right|=9[/tex]
[tex]\left|145-151\right|=6[/tex]
[tex]\left|155-151\right|=4[/tex]
[tex]\left|170-151\right|=19[/tex]
[tex]\left|150-151\right|=1[/tex]
[tex]\left|142-151\right|=9[/tex]
step 3
Find the mean of those distances
[tex][16+9+6+4+19+1+9]/7=64/7=9.1[/tex] ----> this number is called the mean absolute deviation (MAD)
