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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, APRIL 2021

Mechanical Engineering
Streams: (1) Industrial Engineering (2) Financial Engineering
01ME6401: Statistics for Engineering Applications
Max. Marks: 60 Duration: 3 Hours

Answer any two full questions from each Part.
Use of Statistical Tables permitted.
Any missing data shall be assumed. All assumptions shall be clearly stated.

PART A

1. (a) The following are determinations of a river’s annual maximum flow in cubic meters
per second: 405, 356, 419, 266, 370, 391, 613, 383, 435, 462, 289, 318, 540, 295, and
508. Construct a stem-and-leaf display with two-digit leaves. Interpret the display.

(3 marks)

(b) The administrator of a hospital surveyed the number of days 200 randomly chosen
patients stayed in the hospital following an operation. The data are as follows:

Hospital stay in days | 1-3 | 4-6 | 7-9 | 10-12 | 13-15 | 16-18 | 19-21 | 22-24

| Frequency | 116110

(i) Calculate the mean and standard deviation.

(ii) According to Chebyshev’s theorem, how many stays should be between 0 and 17
days? How many are actually in the interval?

(4.5 marks)
2. (a) The following information is obtained from a person on his home loan application:
(i) Monthly income; (ii) Marital Status; (iii) Term of loan; (iv) Occupation

Classify by type of data and indicate the measurement scale. (3 marks)

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