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'Pvaiiegms 4:» {easy ’ . _F_llllﬂlﬂl3 DEVIATIDIII BY HAND . 7
To find; thestandard deviation, start writhrthe. mean, 17. Then ﬁnd the deviations by'taking ‘
ifrom each Value: (y— )7). Square"each"deviation: (y '—_ 17);. ' ‘ 7 1‘ _
’Now yOu’rekrnearly’ I,7omeiJust.addithese up and divideby n — 1‘. That gives you the
variances2. Toﬁnd the: standard deviations; take the Square root. Here We go; '
Supposethebatchﬁ values is 3,10,12,18, 9, and 3. I I
The mean i557 =. 7. ‘So the deViatiQ'ns. are found by subtracting 7 from each value: Original: Values  “Deﬂatims ‘ Squared Deviations,
4 54.7=v3‘ '(‘—3)2= 9 ‘
3 7.3‘~‘7.= 54 (—4? = 16
10 '= 3. ‘ 9
‘12 ' ' 12 —' 77:55'  25 ‘
8 .8 — 7t=1 ' V 1
9 .9, +7.; 2 7 4,
3 . _ 3— 7 =, —4 15 Add up the squared deviations: 9 + 16 + 9 + 275 ‘+ + 4 + 16 = 80. I
Now divide byn 51: I ‘  3 , ' r _ 80/6 =.13.3_3;
Finally, take the square root; _ ‘ V;13.3:3} 73.65 "L n . _ L
S: é.L\(“‘\T°)/ﬂr\ Lara} ails. A university teacher saved every email re ed from students in a large Introductory Stahshcs class
Lug an entire term. He then counted, for each student
‘ rad sent him at least one email, how many emalls 7 Student had sent. i 7. Sugar in cereals. The histogram displays the sugar I}
content (as a percent of weight) of 49 brands of breakfast 3 cereals. # of Cereals
M «b a) CD 0 8162432404856
Sugar (%) a) Describe this distribution. I
b) What do you think might account for 121115 shape? few sentences describing this distribution
' spread, unusual features). C“ Es+{MA’Ce +11% Meétbﬁﬂ; Summaries. Here are costs of 10 electric smoothtopg ‘ I g
ranges rated very good or excellent by Consumer Reports , inAugust 2002:
$850 900 1400 1200 1050 1000 750 1250 1050 565 Find these statistics by hand (no calculatorl): a) mean ‘
b) median and quartiles .29, Standard deviation 1. For each lettered part, a through
c, examine the two given sets of numbers. Without doing
any calculations, decide which set has the larger standard deviation and explain why. Then check by finding the
standard deviations by hand. C) range and IQR Set 1 Set 2
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a) 3, 5, 6, 7, 9 2, 4, 6, 8,10
b) 10, 14, 15, 16, 20 10, 11, 15, 19, 20 ) 2, 6, 6, 9, 11, 14 82, 86, 86, 89, 91, 94 Question four: Given the following plot, estimate the ﬁve number summary (minimum, Q1, Q2, Q3,
Maximum) and IQR for each of the two plots? What do you conclude about the relationship between these
Two variables. Write your response within context. 20000.0(} 1 1.13
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Question five: Given the following information, draw an appropriate plot that would show the relationship between the two variables. What do you conclude based on the plot that you drew? Write your results within context.
Growth Domestic Product or (GDP) is the total value of goods and services provided in a country during one year. Type of government Dictatorshi o ...
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 Fall '11
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