ENGINEERING MATHS.

ENGINEERING MATHS
STUDENT ID:
[Pick the date]

Question 1
Data set of transistors measured
(a) Tally chart to group the data
Classes Frequenc
y
Tally
154 to 155 5 ||||
155 to 159 8 |||||||
159 to 164 15 ||||||||||||
164 to 169 22 ||||||||||||||||||
169 to 173 24 |||||||||||||||| ||||
173 to 178 43 |||||||||||||||||||||||||||||||||||
178 to 183 37 |||||||||||||||||||||||||||| ||
183 to 188 28 |||||||||||||||||||||||
188 to 192 10 ||||||||
192 to 196 8 |||||||
(b) Histogram
151 to 155 155 to 159 159 to 164 164 to 169 169 to 173 173 to 178 178 to 183 183 to 188 188 to 192 192 to 196
0
5
10
15
20
25
30
35
40
45
50
Histogram
Gain of similar transistors measured
Frequency
(c) Cumulative frequency curve
2

151 to 155 155 to 159 159 to 164 164 to 169 169 to 173 173 to 178 178 to 183 183 to 188 188 to 192 192 to 196
0
50
100
150
200
250 Cumulative Frequency Curve: Ogive
Gain of similar transistors measured
Cumulative Frequency
(d) The histogram does not highlight asymmetric distribution as negative skew is present.
Owing to the presence of skew, the given distribution would not be normal as an essential
condition for normal distribution is zero skew.
Question 2
(a) Mean value of grouped data
3