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SecTIoN 1c Displaying Quantitative Data with Graphs 35
intervals half as wide: 0 to < 2.5, 2.5 to < 5, and so on. Now we see the shape of the
distribution more clearly. The choice of intervals in a histogram can affect the
caution
appearance of a distribution. Histograms with more intervals show more detail
but may have a less clear overall pattern.
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FIGURE 1.8 (a) Frequency 20 20
histogram of the percentage of
foreign-born residents in the 15 15
50 states with intervals of width 5, Frequency 10 Frequency 10
from the previous example.
(b) Frequency histogram of the data 5 5
with intervals of width 2.5. 0 0
0 5 10 15 20 25 30 0 5 10 15 20 25 30
(a) Percent foreign-born residents (b) Percent foreign-born residents
1. Tech Corner MAKING HISTOGRAMS
TI-Nspire and other technology instructions are on the book’s website at bfwpub.com/tps7e . NORMAL FLOAT AUTO REAL RADIAN MP
L1 L2 L3 L4 L5 1
You can use technology to make a histogram. The technology’s default 3.6
8
choice of intervals is a good starting point, but you should adjust the inter- 13.4
5.1
vals to fit with common sense. We’ll illustrate using data on the percentage 26.7
9.5
of foreign-born residents in the states from the preceding example. 14.8
10
21.1
1. Enter the percentage of foreign-born residents in each state in your 10.3
19.3
statistics/list editor. Press STAT and choose Edit…, then type the val- L1(1)=3.6
ues into list L1.
2. Set up a histogram in the statistics plots menu. Press 2nd Y= NORMAL FLOAT AUTO REAL RADIAN MP
(STAT PLOT), press ENTER or 1 to go into Plot1, and adjust the PRESS [<] OR [>] TO SELECT AN OPTION
settings as shown. Plot1 Plot2 Plot3
On Off
Type:
Xlist:L1
Freq :1
Color: BLUE <>
3. Use ZoomStat to let the calculator choose intervals and make a histo-
gram. Press ZOOM and choose ZoomStat. Press TRACE and use the NORMAL FLOAT AUTO REAL RADIAN MP
left and right arrow keys to examine the intervals. Plot1:L1
Note the calculator’s
unusual choice of
intervals. min=1.6
max<5.1857143 n=15
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02_StarnesTPS7e_40934_un01_p1_001_086_6pp.indd 35 13/09/23 5:37 PM
