Answer
a.Mean = 21
Median = 13.5
Mode= 5, 8 , 14
b. 10% trimmed mean = 15.6875
c. Range = 90
Variance = 534.6316
Standard Deviation = 23.1221
d. Coefficient of Variation = 110.11%
e. It is a sample statistic.
Work Step by Step
a.Mean
=(∑x)/N
=$(1+5+5+6+7+8+8+9+10+13+14+14+18+19+21+26+32+41+72+91)\div20$
=420/20
=21
Median =$ (13+14)/2 = 13.5$
Mode= 5,8,14
b. When 2 values from both ends of the data set are taken out,
10% trimmed mean = the mean of the remaining 16 values
= $(5+6+7+8+8+9+10+13+14+14+18+19+21+26+32+41+72+91)\div16 $
$=15.6875$
c. Range = Highest Value - Lowest Value
= 91 -1 =90
Variance =
=s^2
=$(∑(x)^2 - ([(∑x)]^2/N))/(n-1)$
= $\frac{18978- (176400\div20)}{19}$
=$(18978-8820)\div19$
=$534.6316$
Standard Deviation = $\sqrt 534.6316
=23.1221$
d. Coefficient of Variation = $23.1221\div21 \times 100 = 110.11 %$
e. It is a sample statistic.
