Transcript The jeans project

THE JEANS PROJECT
Matt Fuhrman – 9A GAT
THE TASK
 Travel to 3 stores and measure a minimum of 30 pairs of jeans.
 Using the data collected from the stores, find out which store
has jeans that are truest to their size.
 All jeans measured were size 32 with a relaxed fit, the reason
behind the sizes and fit of the jeans is that there was an
abundance of this size and style at the various stores.
THE STORES
 Data was collected from three stores, Meijer, K-Mart and Target.
 Meijer had the least expensive jeans at $14.98 a pair. K-Mart had
the middle price of jeans at $19.99 a pair, followed by the jeans
at Target that cost $24.99 a pair of jeans, the most expensive.
 The reason behind the choosing of these stores is that they were
close to my house.
THE HYPOTHESIS
 It was hypothesized that the jeans measured at Target would be
truest to their size.
 This was hypothesized as the jeans at Target are the most
expensive. I believe that since the jeans were the most
expensive, more care and precision would be executed in the
manufacturing of the jeans.
THE PROCEDURES
 Jeans were measured to the nearest 16th of an inch.
 First, a collection 12 size-32 relaxed-fit jeans was
selected.
 Then a pair of jeans was held at each side, pulling
the waist of the jeans tight.
 Next, wrap a tape measure around the waist of the
pants and made that the tape measure was pulled
tight, leaving no space around the jeans and the tape.
 The tape measure was then wrapped around and the measurement was recorded.
 This process was done for all 12 pairs at each of the three stores.
THE DATA
 Data collected from the three stores is expressed in tables on
the next three slides.
 Each table includes the store’s name, manufacturer name, size,
measurement, price, and fit.
 The average measurement for each data set is also included.
THE DATA –
Store
Manufacturer
Size
Measurement
(inches)
Price
Fit
(dollars)
Meijer
Falls Creek
32
35 1/4
14.98 Relaxed
Meijer
Meijer
Falls Creek
Falls Creek
32
32
36
35 1/8
14.98 Relaxed
14.98 Relaxed
Meijer
Falls Creek
32
35 1/4
14.98 Relaxed
Meijer
Falls Creek
32
35 1/8
14.98 Relaxed
Meijer
Falls Creek
32
34 7/8
14.98 Relaxed
Meijer
Falls Creek
32
35 3/4
14.98 Relaxed
Meijer
Falls Creek
32
35 1/2
14.98 Relaxed
Meijer
Falls Creek
32
35 1/4
14.98 Relaxed
Meijer
Falls Creek
32
34 1/8
14.98 Relaxed
Meijer
Falls Creek
32
35 3/8
14.98 Relaxed
Meijer
Falls Creek
32
35
14.98 Relaxed
Avg.
35.22
• 12 jeans were measured at Meijer.
• Jeans measured at this store ranged
from 34 7/8 inches to 35 ¾ inches.
• Data in this set ranged 1 7/8 inches.
• The range of data in this set was the
greatest out of all of the data sets.
• The mean of the measurements is
35.22 inches, the highest out of all of
the data.
• Jeans at this store cost $14.98 a pair.
THE DATA – K-MART
Store
Store
K-Mart
K-Mart
K-Mart
Meijer
K-Mart
K-Mart
Meijer
K-Mart
K-Mart
K-Mart
Meijer
K-Mart
K-Mart
Meijer
K-Mart
K-Mart
Meijer
Manufacturer
Price
Fit
Manufactor Size
Size Measurement
Measure
Price
(inches)
(dollars) Fit
ment
(dollar
Wrangler
32
34 3/4
(inches)
s) 19.99 Relaxed
Wrangler
32
35 1/2
19.99 Relaxed
Rela
Wrangler
32
35 5/8
19.99 Relaxed
Falls Creek
32
35 1/4
xed
Wrangler
32
35 1/8 14.98
19.99 Relaxed
Wrangler
32
35 1/8
19.99 Relaxed
Rela
Wrangler
32
35 1/4 14.98
19.99 Relaxed
Falls Creek
32
36
xed
Wrangler
32
35 1/4
19.99 Relaxed
Rela
Wrangler
32
34 1/8
19.99 Relaxed
Falls Creek
32
35 1/8
14.98
xed
Wrangler
32
36 1/4
19.99 Relaxed
Rela
Wrangler
32
35 3/4
19.99 Relaxed
Falls Creek
32
35 1/4
xed
Wrangler
32
34 1/2 14.98
19.99 Relaxed
Wrangler
32
34 7/8
19.99 Relaxed
Rela
Avg.
35.18
Falls Creek
32 35 1/8
14.98 xed
• 12 jeans were measured at K-Mart.
• Jeans measured at this store ranged
from 34 1/8 inches to 36 1/4 inches.
• Data in this set ranged of 1 5/8 inches.
• The mean of the measurements is
35.18 inches.
• Jeans at this store cost $19.99 a pair.
THE DATA – TARGET
Store
Store
Store
Manufacturer
Size
Measurement Price
Manufactor
Size
Price Fit
Manufactor
Size Measurement
Measure
Price
Fit
(inches)
(dollars)
(inches)
(dollars)
K-Mart
Target
Wrangler
Denizen from Levis
K-Mart
Target
Wrangler
Denizen from Levis
K-Mart
Target
Wrangler
Denizen from Levis
K-Mart
Target
Wrangler
Denizen from Levis
K-Mart
Target
Meijer
Wrangler
Denizen Creek
from Levis
Falls
K-Mart
Target
Wrangler
Denizen from Levis
K-Mart
Target
Wrangler
Denizen from Levis
K-Mart
Meijer
Target
Wrangler
Falls
Denizen Creek
from Levis
K-Mart
Target
Wrangler
Denizen from Levis
Meijer
Falls Creek
Meijer
K-Mart
Target
K-Mart
Target
Meijer
K-Mart
Target
Falls
Wrangler
Denizen Creek
from Levis
Wrangler
Denizen from Levis
Falls
Creek
Wrangler
Denizen from Levis
ment
(dollar
32
341/4
3/4 19.99
Relaxed
32
34
(inches)
s) 24.99 Relaxed
32
353/8
1/2 19.99
32
34
24.99 Relaxed
Relaxed
Rela
32
351/2
5/8 19.99
32
34
24.99 Relaxed
Relaxed
32
35 341/4
xed
32
353/4
1/8 14.98
19.99
32
24.99 Relaxed
Relaxed
32
357/8
1/8 19.99
32
34
24.99 Relaxed
Relaxed
Rela
32
35
1/4 14.98
19.99
32
34
7/8
24.99 Relaxed
Relaxed
32
36
xed
32
3535
1/4 19.99
32
24.99 Relaxed
Relaxed
Rela
32
341/8
1/8 19.99
32
35
24.99 Relaxed
Relaxed
32
35 351/8
xed
32
363/8
1/4 14.98
19.99
32
24.99 Relaxed
Relaxed
Rela
32
351/2
3/4 19.99
32
35
24.99 Relaxed
Relaxed
32
343/4
1/2 14.98
19.99
32
35 351/4
xed
32
24.99 Relaxed
Relaxed
32
347/8
7/8 19.99
32
35
24.99 Relaxed
Relaxed
Rela
Avg.
35.18
Avg.
35.02
32 35 1/8 14.98 xed
• 12 jeans were measured at Target.
• Jeans measured at this store ranged
from 34 1/4 inches to 35 7/8 inches.
• Data in this set ranged 1 5/8 inches.
The mean of the measurements is
35.02 inches, the lowest of all the data
sets.
• Jeans at this store cost $24.99 a pair.
THE DATA
 Jeans collected from Meijer had the highest mean.
 The range of measurements collected from Target was the
highest. Measurements at Target had a range of 1 5/8 inches in
comparison to K-Mart’s range of 1 5/8 inches and Meijer’s range
of 1 7/8.
THE BOX PLOTS
"Minimum"
"Q₁"
"Median"
"Q₃"
"Maximum"
"Minimum"
"Q₁“
"Median“
"Q₃"
"Maximum"
34.13
35.065
35.25
35.44
36
34.13
34.815
35.19
35.375
35.75
"Minimum"
"Q₁“
"Median“
"Q₃“
"Maximum"
34.25
34.625
34.94
35.44
35.88
THE BOX PLOTS
 Box plot for Meijer is the only one to contain an outlier. This
outlier is on the low end of the figure.
 Box plot for Meijer also possesses the smallest box, this is due to
its smaller deviation in comparison to the other data sets.
 K-Mart’s median is roughly in the middle of its data.
 The box plots show that K-Mart’s waist size measurements have
a greater range in comparison to the others.
STANDARD DEVIATION  Standard Deviation = S = √∑(x-x̄)²/n-1
Meijer
Total
Data (x) Deviation from mean (x-x̄)
Deviation squared (x-x̄)²
1
34.125 34.125 - 35.219 = -1.094
(-1.094)² = 1.196836
2
34.875 34.875 - 35.219 = -0.344
(-0.344)² = 0.118336
3
35.000 35 - 35.219 = -0.219
(-0.219)² = 0.047961
4
35.125 35.125 - 35.219 = -0.094
(-0.094)² = 0.008836
5
35.125 35.125 - 35.219 = -0.094
(-0.094)² = 0.008836
6
35.250 35.25 - 35.219 = 0.031
(-0.031)² = 0.000961
7
35.250 35.25 - 35.219 = 0.031
(-0.031)² = 0.000961
8
35.250 35.25 - 35.219 = 0.031
(-0.031)² =0.000961
9
35.375 35.375 - 35.219 = 0.156
(0.156)² = 0.024336
10
35.500 35.5 - 35.219 = 0.281
(0.281)² = 0.078961
11
35.750 35.75 - 35.219 = 0.531
(0.531)² = 0.281961
12
36.000 36 - 35.219 = 0.781
(0.781)² = 0.609961
35.219
∑(x-x̄)² = 2.32211
 S = √2.32211/12-1
 S = √2.32211/11
 S ≈ 0.13853155501
 Variance = S²
 V ≈ 0.13853155501²
 V ≈ 0.01919099173
DOT PLOT –
0.6
0.5
0.4
0.3
0.2
0.1
0
34
34 1/2
35
35 1/2
36
36 1/2
37
37 1/2
38
STANDARD DEVIATION  Standard Deviation = S = √∑(x-x)²/n-1
K-Mart
Target
Total
Data (x) Deviation from mean (x-x̄)
Deviation squared (x-x̄)²
1.106704
34.125- -34.904
35.177 = -0.654
-1.052 (-1.052)²
34.250
(-0.654)² == 0.427716
34.500- 34.904
- 35.177==-0.529
-0.677 (-0.677)²
34.375
(-0.529)² ==0.444889
0.279841
1
34.125
34.25
2
34.500
34.38
3
34.750
34.50
4
34.875
34.75
5
35.125
34.88
6
35.125
34.88
7
35.250
35.00
8
35.250
35.13
9
35.500
35.38
10
35.625
35.50
11
35.750
35.75
12
36.250
35.88
35.750- -34.904
35.177==0.846
0.573 (0.573)²
35.750
(0.846)²==0.328329
0.715716
36.250- -34.904
35.177 = 0.971
1.073 (1.073)²
35.875
(0.971)² == 1.151329
0.942841
35.177
35.021
∑(x-x)² = 3.189842
20.749883
34.750- -34.904
35.177 == -0.404
-0.427 (-0.427)²
34.500
(-0.404)² == 0.182329
0.163216
0.091204
34.875--34.904
35.177 = -0.302
34.750
-0.154 (-0.302)²
(-0.154)² == 0.023716
35.125--34.904
35.177 = -0.029
-0.052 (-0.052)²
34.875
(-0.029)² == 0.002704
0.000841
35.125--34.904
35.177 = -0.029
-0.052 (-0.052)²
34.875
(-0.029)² == 0.002704
0.000841
8.567329
32.250 - 34.904
35.177 ==-2.927
35.000
0.096 (-2.927)²
(0.096)² ==0.009216
8.567329
32.250
35.125 - 35.177
34.904==-2.927
0.221 (-2.927)²
(0.221)² ==0.048841
= 0.104329
35.500--34.904
35.177 = 0.323
35.375
0.471 (0.323)²
(0.471)² =
0.221841
0.200704
35.625--34.904
35.177 = 0.448
35.500
0.596 (0.448)²
(0.596)² == 0.355216
 S = √3.189842/12-1
 S = √3.189842/11
 S ≈ 0.16236480708
 Variance = S²
 V ≈ 0.16236480708²
 V ≈ 0.02636233057
DOT PLOT –
0.6
0.5
0.4
0.3
0.2
0.1
0
34
34 1/2
35
35 1/2
36
36 1/2
37
37 1/2
38
STANDARD DEVIATION  Standard Deviation = S = √∑(x-x)²/n-1
K-Mart
Total
Data (x) Deviation from mean (x-x̄)
1
34.125
2
34.500
3
34.750
4
34.875
5
35.125
6
35.125
7
35.250
8
35.250
9
35.500
10
35.625
11
12
Deviation squared (x-x̄)²
34.125 - 35.177 = -1.052 (-1.052)² = 1.106704
 S = √20.749883/12-1
34.500 - 35.177 = -0.677 (-0.677)² = 0.444889
34.750 - 35.177 = -0.427 (-0.427)² = 0.182329
 S = √20.749883/11
34.875 - 35.177 = -0.302 (-0.302)² = 0.091204
35.125 - 35.177 = -0.052 (-0.052)² = 0.002704
35.125 - 35.177 = -0.052 (-0.052)² = 0.002704
32.250 - 35.177 = -2.927 (-2.927)² = 8.567329
 S ≈ 0.41410944974
 Variance = S²
32.250 - 35.177 = -2.927 (-2.927)² = 8.567329
35.500 - 35.177 = 0.323 (0.323)² = 0.104329
 V ≈ 0.41410944974²
 V ≈ 0.17148663636
35.750
35.625 - 35.177 = 0.448 (0.448)² = 0.200704
35.750 - 35.177 = 0.573 (0.573)² = 0.328329
36.250
36.250 - 35.177 = 1.073 (1.073)² = 1.151329
35.177
∑(x-x)² = 20.749883
DOT PLOT –
0.6
0.5
0.4
0.3
0.2
0.1
0
34
34 1/2
35
35 1/2
36
36 1/2
37
37 1/2
38
THE DEVIATION
 Of the three sets of data, jeans measured at Meijer had the
lowest standard deviation. This means that the jeans at Meijer
are closest to their mean of 35.22.
 The data set with the highest standard deviation was the jeans
at K-Mart. The deviation of this set was more than twice as
much as the other two sets.
 The data collected at K-Mart had the highest variance due to
having the highest deviation as well. This means that there was
a greater distance in between each measurement than the other
sets.
THE TRUEST TO SIZE
 Target’s jeans had the lowest mean, yet K-Mart’s jeans’ box was
smaller than the rest.
 In K-Mart’s data, the Q1 and Q3 numbers created a box that had
more lower numbers compared to the rest. These data points
were closer to the size 32.
 None of the data sets were really close to the size of 32 but were
very similar to each other.
 Jeans measured at Meijer had the lowest standard deviation and
variance. This means that there was not much difference in the
sizes of the jeans, but these data points were not the closest to
size 32.
THE CONCLUSION
 There were not any problems in regards to the measuring of the
pants.
 All of the jeans measured larger than the size of 32.
 The hypothesis was that Target’s jeans would be truest to size.
 The hypothesis was incorrect because jeans measured at K-Mart
were the truest to size.
ADVICE FOR CONSUMERS
 Originally it was hypothesized that the more expensive of the
jeans would be truest to size but the data collected does not
prove this.
 From the data collected, jeans from Target were the truest to
their size, not by much, but were.
 In this case, paying more money does not get you a better
product. For the jeans closest to their size out of the ones
chosen, Denizen from Levi’s purchased at Target is your best
bet.
ADVICE FOR MANUFACTURERS
 From looking at the data collected it can easily be determined that both the size
of the pants is not equal to the measurement of the pants, and the measurements
of the pants are not consistent whatsoever.
 When jeans are sewn and pressed, the jeans are not being sewn and pressed
consistently the same way. This process is done quickly to mass-produce many
jeans. As shown by the data, the jean’s waist is not even when it is folded to be
sewn, and not all of the jeans end up having the same measurement.
 While mass-producing many jeans and working on many jeans at a time may be a
good idea for selling many goods, it’s not a good idea for making each product the
same and having the size be accurate.
 Advice that can be given so that a better, more accurate product to be sold is to
slow down and create jeans with more precision. Currently, a worker just folds
fabric in half and sews it together. If this job is done with more precision and care,
jeans could be created more accurately and be true to their size.
WORKS CITED
Jeans. Image. Closet Couture. Web.
<http://www.closetcouture.com/uploads/1223997626/med_gallery_456__13753.png> Mar.
2013.
Meijer logo. Image. Michican Baby Walks. Web.
<http://www.mibabywalks.org/MeijerLogo.jpg>26 Mar. 2013.
Kmart logo. Image. BatteryTender. Web. <http://batterytender.com/images/kmartlogo-317x336.jpg> 26 Mar. 2013.
Target logo. Image. Take5ADay. Web.
<http://www.mibabywalks.org/MeijerLogo.jpg>26 Mar. 2013.
EVAN199. "How it's made: Jeans" Online video clip.
YouTube. YouTube, 17 Jun. 2007. Web. <http://youtu.be/5DzEpOp2Jy8> 26. Mar. 2013.