Question: Standard deviation. Calculate the standard deviation of U.S. Treasury? bills, long-term government? bonds, and? large-company stocks for 1987 to 1996 from Table. Which had the highest? variance? Which had the lowest? variance
|
Year
|
Three-Month U.S.Treasury Bills
|
Long-Term Government Bonds
|
Large Company Stocks
|
Small Company Stocks
|
|
1950
|
1.20%
|
-0.96%
|
32.68%
|
48.45%
|
|
1951
|
1.49%
|
-1.95%
|
23.47%
|
9.41%
|
|
1952
|
1.66%
|
1.93%
|
18.91%
|
6.36%
|
|
1953
|
1.82%
|
3.83%
|
-1.74%
|
-5.66%
|
|
1954
|
0.86%
|
4.88%
|
52.55%
|
65.13%
|
|
1955
|
1.57%
|
-1.34%
|
31.44%
|
21.84%
|
|
1956
|
2.46%
|
-5.12%
|
6.45%
|
3.82%
|
|
1957
|
3.14%
|
9.46%
|
-11.14%
|
-15.03%
|
|
1958
|
1.54%
|
-3.71%
|
43.78%
|
70.63%
|
|
1959
|
2.95%
|
-3.55%
|
12.95%
|
17.82%
|
|
1960
|
2.66%
|
13.78%
|
0.19%
|
-5.16%
|
|
1961
|
2.13%
|
0.19%
|
27.63%
|
30.48%
|
|
1962
|
2.72%
|
6.81%
|
-8.79%
|
-16.41%
|
|
1963
|
3.12%
|
-0.49%
|
22.63%
|
12.20%
|
|
1964
|
3.54%
|
4.51%
|
16.67%
|
18.75%
|
|
1965
|
3.94%
|
-0.27%
|
12.50%
|
37.67%
|
|
1966
|
4.77%
|
3.70%
|
-10.25%
|
-8.08%
|
|
1967
|
4.24%
|
-7.41%
|
24.11%
|
103.39%
|
|
1968
|
5.24%
|
-1.20%
|
11.00%
|
50.61%
|
|
1969
|
6.59%
|
-6.52%
|
-8.33%
|
-32.27%
|
|
1970
|
6.50%
|
12.69%
|
4.10%
|
-16.54%
|
|
1971
|
4.34%
|
17.47%
|
14.17%
|
18.44%
|
|
1972
|
3.81%
|
5.55%
|
19.14%
|
-0.62%
|
|
1973
|
6.91%
|
1.40%
|
-14.75%
|
-40.54%
|
|
1974
|
7.93%
|
5.53%
|
-26.40%
|
-29.74%
|
|
1975
|
5.80%
|
8.50%
|
37.26%
|
69.54%
|
|
1976
|
5.06%
|
11.07%
|
23.98%
|
54.81%
|
|
1977
|
5.10%
|
0.90%
|
-7.26%
|
22.02%
|
|
1978
|
7.15%
|
-4.16%
|
6.50%
|
22.29%
|
|
1979
|
10.45%
|
9.02%
|
18.77%
|
43.99%
|
|
1980
|
11.57%
|
13.17%
|
32.48%
|
35.34%
|
|
1981
|
14.95%
|
3.61%
|
-4.98%
|
7.79%
|
|
1982
|
10.71%
|
6.52%
|
22.09%
|
27.44%
|
|
1983
|
8.85%
|
-0.53%
|
22.37%
|
34.49%
|
|
1984
|
10.02%
|
15.29%
|
6.46%
|
-14.02%
|
|
1985
|
7.83%
|
32.68%
|
32.00%
|
28.21%
|
|
1986
|
6.18%
|
23.96%
|
18.40%
|
3.40%
|
|
1987
|
5.50%
|
-2.65%
|
5.34%
|
-13.95%
|
|
1988
|
6.44%
|
8.40%
|
16.86%
|
21.72%
|
|
1989
|
8.32%
|
19.49%
|
31.34%
|
8.37%
|
|
1990
|
7.86%
|
7.13%
|
-3.20%
|
-27.08%
|
|
1991
|
5.65%
|
18.39%
|
30.66%
|
50.24%
|
|
1992
|
3.54%
|
7.79%
|
7.71%
|
27.84%
|
|
1993
|
2.97%
|
15.48%
|
9.87%
|
20.30%
|
|
1994
|
3.91%
|
-7.18%
|
1.29%
|
-3.34%
|
|
1995
|
5.58%
|
31.67%
|
37.71%
|
33.21%
|
|
1996
|
5.50%
|
-0.81%
|
23.07%
|
16.50%
|
|
1997
|
5.32%
|
15.08%
|
33.17%
|
22.36%
|
|
1998
|
5.11%
|
13.52%
|
28.58%
|
-2.55%
|
|
1999
|
4.80%
|
-8.74%
|
21.04%
|
21.26%
|
|
50-year average
|
5.226%
|
5.936%
|
14.890%
|
17.103%
|
|
Standard Deviation
|
2.980%
|
9.493%
|
16.695%
|
29.043%
|
1. What is the standard deviation of U.S. Treasury bills for 1985 to 1994??
2. What is the standard deviation of? long-term government bonds for 1985 to 1994??
3. What is the standard deviation of? large-company stocks for 1985 to 1994??
4. Which investment had the highest variance from 1985 to 1994??
- Long-term government bond
- U.S. Treasury bills
- Large-company stocks
- Which investment had the lowest variance from 1985 to 1994??
- Long dash term government bond
- U.S. Treasury bills
- Large-company stocks