A B C D E F G H K L M N BIH BGR CZE HRV HUN MKD MNE POL ROU SRB SVK SVN 1990 6.96305 9.39619 10.0956 9.52661 9.56148 8.78493 9.39138 9.05421 9.01041 9.40965 9.8893 9.90514 AWN - 1991 6.88364 9.44285 9.92503 9.29646 9.46542 8.76775 9.27692 9.04702 8.92198 9.27697 9.65262 9.81184 1992 6.87011 9.47135 9.91622 9.16674 9.46844 8.7039 9.00563 9.11915 8.87167 8.93542 9.58193 9.76569 1993 7.10963 9.18492 9.92996 9.09875 9.53139 8.71092 8.54836 9.19963 8.90448 8.55423 9.59112 9.84373 1994 7.42832 9.18312 9.98266 9.17839 9.57806 8.72173 8.5607 9.27029 8.9682 8.57096 9.62232 9.904 1995 7.8074 9.24581 10.0204 9.24001 9.59255 8.74262 8.69586 9.36608 9.04093 8.62733 9.6652 9.96097 1996 8.48039 9.20612 10.0655 9.28143 9.62067 8.75034 8.9402 9.44683 9.09852 8.61967 9.72167 9.99702 1997 8.7015 8.94311 10.0305 9.36987 9.61664 8.78147 9.00268 9.50851 9.0506 8.70286 9.74793 10.0152 10 1998 8.73096 9.1112 9.99297 9.40366 9.62233 8.82471 9.06001 9.5472 9.02257 8.77885 9.72049 10.0073 11 1999 8.82671 9.11413 9.98993 9.43066 9.64373 8.90287 8.97051 9.601 9.02596 8.95209 9.67244 10.0387 12 2000 8.79345 9.20595 10.0213 9.50505 9.71438 8.98893 9.09232 9.6235 9.05713 9.02423 9.71633 10.0784 13 2001 8.82011 9.23699 10.0689 9.55472 9.77304 9.02478 9.14677 9.62836 9.14089 8.99734 9.77052 10.0871 14 2002 8.8379 9.2815 10.0529 9.62989 9.8281 9.02291 9.11523 9.65199 9.18088 9.08056 9.78735 10.1061 15 2003 8.82395 9.31873 10.099 9.69408 9.86513 9.02561 9.11983 9.66182 9.23508 9.12988 9.79444 10.1294 16 2004 8.83528 9.37037 10.1271 9.7232 9.85616 9.06842 9.17167 9.69795 9.35011 9.1823 9.79991 10.1666 17 2005 8.97775 9.48191 10.2114 9.80657 9.96141 9.15831 9.23419 9.74991 9.38754 9.29733 9.93214 10.249 18 2006 9.04966 9.54632 10.23 9.89862 9.96385 9.21781 9.46711 9.78658 9.52916 9.44442 9.99334 10.2476 19 2007 9.12118 9.62991 10.3092 9.97805 9.9727 9.26609 9.68789 9.8714 9.65449 9.47999 10.0715 10.2798 20 2008 9.19749 9.70546 10.3538 10.0394 10.0545 9.37572 9.75207 9.93383 9.81683 9.58957 10.1703 10.3769 21 2009 9.19691 9.67632 10.3076 9.98998 10.0201 9.41445 9.66759 9.96828 9.79811 9.58877 10.1143 10.2872 22 2010 9.23138 9.72012 10.3178 9.98227 10.078 9.44691 9.73301 10.0617 9.82372 9.60778 10.2092 10.3032 23 2011 9.26976 9.71532 10.3457 10.0182 10.103 9.45267 9.77525 10.1309 9.82877 9.65431 10.2215 10.3396 24 2012 9.30806 9.7457 10.34 10.0231 10.0932 9.48994 9.752 10.1523 9.88526 9.6611 10.2267 10.326 25 2013 9.31464 9.70161 10.327 9.97747 10.0981 9.48894 9.73508 10.151 9.89039 9.64354 10.1879 10.3108 26 2014 9.33564 9.73906 10.3714 9.97476 10.1225 9.53718 9.72824 10.1637 9.9196 9.62463 10.2253 10.3218 27 2015 9.37672 9.78097 10.3966 10.0234 10.1377 9.5784 9.79854 10.21 9.97922 9.64263 10.2265 10.3033 28 2016 9.41703 9.83441 10.4181 10.0574 10.1412 9.62591 9.82287 10.232 10.0354 9.66428 10.1811 10.3257 29 2017 9.44543 9.88226 10.4795 10.1409 10.2002 9.63138 9.87492 10.2767 10.1435 9.68277 10.1837 10.3607 30 2018 9.49102 9.9228 10.5112 10.1308 10.2369 9.6318 9.92047 10.3262 10.1847 9.71318 10.1961 10.4224 31 2019 9.53209 9.96867 10.5327 10.1659 10.2832 9.66647 9.99195 10.373 10.236 9.75385 10.221 10.4369 32As an alternative to looking for an inverse relationship between initial income and rates of growth as a way to look for evidence of convergence, a second way that economists do so is to compute the standard deviation of income per capita across countries for a given year and then check to see if the standard deviation declines over time. If it does, then this is evidence of convergence. The Excel file for this problem set contains data on log real GDP per capita from 1990 to 2019 for several countries that were formally communist, but not part of the Soviet Union. Specifically, the data set covers, Bulgaria (BGR), Czech Republic (CZE), Hungary (HUN), Poland (POL), Romania (ROU), Slovakia (SVK), and countries that were part of the former Yugoslavia, Bosnia- Herzegovina (BIH), Croatia (HRV), North Macedonia (MKD), Montenegro (MNE), Serbia (SRB), and Slovenia (SVN). a. For each year, have Excel compute the standard deviation of log real GDP per capita across these 12 countries. You should end up with 29 values for the standard deviation, one for each year. The Excel command is = stdev.s(array). N b. Plot the standard deviation time series that you found in part a and include the plot with your answers. Do you see evidence of convergence across these countries? Why or why not