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# Subject: Engineering statistic

## Name: Arsyi shafa vedika

Matric no: 176361
Develop a histogram
Annealing time (min)
48
35
33
29

40
34
32
29

38
34
32
28

37
34
32
28

Solution:
Table 1: the class boundaries for annealing time
Time
(min)
26-30
31-35
36-40
41-45
46-50

freque
ncy
4
8
3
0
1

## Histogram of annealing Time

9
8
7
6
5

Frequency 4
3
2
1
0

26-30

31-35

36-40

Time (min)

Exercise C1-6
Develop a histogram for data below

41-45

46-50

## Water thickness (mm)

302
267
272
310

315
300
295
302

265
309
305
282

296
312
283
287

289
299
309
307

309
316
313
305

Solution
Table 2: the class boundries for water thickness
water
thickne
ss
256265
266275
276285
286295
296305
306315
316325

frequen
cy
1
2
8
5
8
13
3

14
12
10
8

Frequency

6
4
2
0

## water thickness (mm)

Exercise C2-6

308
309
278
314

280
286
284
314

285
281
296
308

318
311
291
280

a) Mean
A customer group tested the gas mileage of two cars models in five trials.
Which model average has more miles per gallon?
Trials (miles
per gallon)
Model A
Model B

22
21

24
25

19
27

25
23

23
21

Mean for model A= (22+24+19+25+23)/5= 22.6 miles/gallon
Mean for model B= (21+25+27+23+21)/5= 23.4 miles/ gallon
Model B has more miles per gallon than model A

b) Median
The data below lists a furnaces daily high temperature for 11 days period.
Identify the median high temperature
{62, 68, 73, 71, 82, 77, 74, 68, 65, 68, 69}
Rank the data: 62, 65, 68, 68, 68, 69, 71, 73, 74, 77, 82
Depth of the median: d() = (11+1)/2=6
The median is the 6th number from either end in the ranked data: =69
c) Midrange
The table below indicates the number of minutes of 8 randomly selected airlines flight were
either early (negative value) or late (positive value) arriving at their destinations. Calculate
the midrange of data set.
Number of minutes early or late
12

-10

32

-4

16

18

Solution;
Midrange= (L+H)/2=(-10+32)/2=11 min

d) Mode
A grinding process records the time in minutes required to grind wafer edge. Identify the
mode of this data set below.
Minutes per grinding time
3

Solution;
Mode: The mode is the value of x that occurs most frequently. If two or more values in a
sample are tied for the highest frequency there is no mode.
In this case value 4 and 5 has occurred mostly. Thus there is no mode.
e) Percentile
The table below lists the monthly output of silicon wafer. Identify the 4th percentile.
Month
Jan
Feb
Mac
Apr
May
June
July
Aug
Sep
Oct

Wafer pieces
1431
1261
1008
1004
927
909
907
879
782
772

Solution;
Rank the data: 772, 782, 879, 907, 909, 927, 1004, 1008, 1261, 1431.
k=4: (10)(4)/100=0.4 nearest depth is 1. Thus 4th percentile is 772.
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