Question

Hail to the chief: There have been 58 presidential inaugurations in U.S. history. At each one, the president has made an inaugural address. Following are the number of words spoken in each of these addresses.

1431	135	2321	1730	2166	1177	1211	3375
4472	2915	1128	1176	3843	8460	4809	1090
3336	2831	3637	700	1127	1339	2486	2979
1686	4392	2015	3968	2218	984	5434	1704
1526	3329	4055	3672	1880	1808	1359	559
2273	2459	1658	1366	1507	2128	1803	1229
2427	2561	2320	1598	2155	1592	2071	2395
2096	1433

Source: The American Presidency Project

a.	Construct a frequency distribution with approximately five classes.
b.	Construct a frequency histogram from the frequency distribution in part (a).
c.	Construct a relative frequency distribution using the same classes as in part (a).
d.	Construct a relative frequency histogram from this relative frequency distribution.
e.	Are the histograms skewed to the left, skewed to the right, or approximately symmetric?
f.	Construct a frequency distribution with approximately nine classes.
g.	Repeat parts (b)–(d), using the frequency distribution constructed in part (f).
h.	Do you think that five and nine classes are both reasonably good choices for these data, or do you think that one choice is much better than the other? Explain your reasoning.

Answer 1

a,b and c:

Formula Ref:

d:Construct a relative frequency histogram from this relative frequency distribution.

e.

Are the histograms skewed to the left, skewed to the right, or approximately symmetric? It is skewed right

Construct a frequency distribution with approximately nine classes, b - d

Relative frequency histogram

Skewed right

Do you think that five and nine classes are both reasonably good choices for these data, or do you think that one choice is much better than the other? Explain your reasoning.

Yes five and nine classes are both reasonably good choices for these data. Because the histogram has clear picture in both classes