1. You are responsible for planning the parking needed for a new 256-unit apartm
ID: 3180625 • Letter: 1
Question
1. You are responsible for planning the parking needed for a new 256-unit apartment complex, and you're told to base the needs on the statistic "average number of vehicles per household is 1.7.
(c) If the owner wants parking that will accommodate 77% of all the tenants who own vehicles, how many spaces must you plan for?
2. Consider the following sample.
20, 16, 19, 11, 20, 23
(b) Find the variance. (Give your answer correct to two decimal places.)
(c) Find the standard deviation. (Give your answer correct to two decimal places.)
3. Consider the following sample.
6, 12, 14, 7, 8, 9
(b) Find the variance. (Give your answer correct to two decimal places.)
(c) Find the standard deviation. (Give your answer correct to two decimal places.)
4. Given the sample 6, 5, 9, 9, 7, 7, 4, 7, 4, 13, find the following. (Round your answers to two decimal places.)
(a) Variance s2 using formula below
s2 =
(b) Variance s2 using formula below
s2 =
(c) Standard deviation, s
s =
5. One aspect of the beauty of scenic landscape is its variability. The elevations (feet above sea level) of 12 randomly selected towns in the Finger Lakes Regions of Upstate New York are recorded here.
(a) Find the mean. (Give your answer correct to the nearest whole number.)
(b) Find the standard deviation. (Give your answer correct to the nearest whole number.)
Explanation / Answer
The owner wants to accommodate 77% of the tenants... There are 256 units, so 77% of them is 256*0.77=197.12
If the average household has 1.7 cars, then multiply to get the number of spaces needed:
197.12*1.7= 335.104
Since you can't have 0.104of a space, I'd round up to 336
2)20+16+19+11+20+23
=109
=(109)2/6
=111881/6
=1980.166
=202+162+192+112+202+232
=2067
=2067-1980.166
=86.834
var=86.834/5
=17.3668
standard deviation=S.R(VAR)
=4.1673
3)6+12+14+7+9=48
=482=2304
=2304/5=460.8
=36+144+196+49+81=506
=506-460.8
=45.2
var=45.2/4
11.3
s.d=s.r(var)=3.3615
4)
var=1.21+4.41+3.61+3.61+0.01+0.01+9.61+0.01+9.61+34.81/9
=63.29/9
=7.0322
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