Question

PART B:

Covid-19 Situation Report, Table 2, represents the number of confirmed Covid 19 cases of top 50 affected coutries as per the COVID 19 Situation report released by World Health Organization on May 31, 2020.

1 716 078	465 166	148 285	94 858	89 741	84 627	38 571	26 688	16 908	14 702
12 531	30 967	148 950	83 384	69 496	55 262	33 896	26 192	23 449	15 094
11 468	16 851	405 843	272 830	239 600	232 664	181 482	163 103	148 436	58 186
46 257	41 658	37 113	32 203	30 762	24 929	23 672	23 571	19 133	17 012
16 638	11 633	11 381	10 858	182 143	44 608	25 773	84 570	34 366	17 224

Determine the following types of averages for the discrete dataset in Table 2;

1. Airthmetic Mean
2. Geometric Mean
3. Harmonic Mean
4. Root Mean Square

Answer 1

As the given dataset is large, and the members in it are also large, we use R Software to calculate the mentioned measures.

The R code is given below:

a=c(1716078,465166,148285,94858,89741,84627,38571,26688,16908,14702,12531,30967,148950,83384,69496,55262,33896,26192,23449,15094,11468,16851,405843,272830,239600,232664,181482,163103,148436,58186,46257,41658,37113,32203,30762,24929,23672,23571,19133,17012,16638,11633,11381,10858,182143,44608,25773,84570,34366,17224)

AM=mean(a)
n=length(a)
GM=(prod(a))^(1/n)
HM=1/mean(1/a)
S.D=sd(a)
AM
GM
HM
S.D

Now the output is shown below:

Arithmetic Mean(AM) : 113216.2
Geometric Mean(GM) : 48962.31
Harmonic Mean(HM): 30603.74
Root mean square : 251561.2