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Dr.M.Mubashir Unnissa Mat2001 - Statististics For Engineers Practice Problem Sheet

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DR.M.

MUBASHIR UNNISSA

MAT2001 – STATISTISTICS FOR ENGINEERS

PRACTICE PROBLEM SHEET

1. The following table gives the average costs of a single-lens reflex camera:

800 650 300 430 560 470 640 830


400 280 800 410 360 600 310 370 Find Mean, Median, mode, standard deviation,
quartile deviation, coefficient of quartile deviation, mean deviation, coefficient of mean
deviation and coefficient of variation.

2. The following are the wind velocities reported at 6 P.M. on six consecutive days: 13,8,15,11,3
and 10. Find the range, mean and standard deviation.

3. Suppose two machines produce nails which are on average 10 inches long. A sample of 11
nails is selected from each machine.
Machine A: 6, 8, 8, 10, 10, 10, 10, 10, 12, 12, 14.
Machine B: 6, 6, 6, 8, 8, 10, 12, 12, 14, 14, 14.
Which machine is better than the other?

4. In a study on effectiveness of a medicine over a group of patients, the following results were
obtained :
Percentage of relief 0-20 20-40 40-60 60-80 80-100
No. of patients 10 10 25 15 40
Find the mean, median, quartile deviation and standard deviation.

5. The data on ages of teachers working in a school of a city are given below:
Age (in years) 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60
No. of teachers 25 110 75 120 100 90 50 30
Calculate the mode, mean deviation from mean, coefficient of mean deviation, range,
coefficient of range, coefficient of variation and standard deviation.

6. The data below presents the earnings of 50 labourers of a factory


Earnings (in Rs.) 1200 1300 1400 1500 1600 1800
No. of Labourers 4 7 15 12 7 5
Calculate mean deviation, quartile deviations and their coefficients.

7. Find the batting average and mean deviation for the following data of scores of 50 innings
of a cricket player:
Run Scored 0-20 20-40 40-60 60-80 80-100 100-120
No. of Innings 6 10 12 18 3 1

8. Find the mean deviation from the mean, median, standard deviation and coefficient of
variation of the following data :
Size of items 4 6 8 10 12 14 16
Frequency 2 5 5 3 2 1 4

9. Calculate the mean deviation for the following data of marks obtained by 40 students in a test
Marks obtained 20 30 40 50 60 70 80 90 100
No. of students 2 4 8 10 8 4 2 1 1
10. Find the standard deviation for the following distribution giving wages of 230 persons.
Wages No. of persons Wages No. of persons
(in Rs) (in Rs)
70-80 12 110-120 50
80-90 18 120-130 45
90-100 35 130-140 20
100-110 42 140-150 8

11. Find the mode for the following data


X: 10 20 30 40 50 60
f: 4 6 20 8 7 6

12. Find the median, Q1, D8,P65 from the following data.

Marks 0-10 10-30 30-50 50-80 80-90 90-100


No of Students 4 12 20 8 4 2
13. The amount of time (in minutes) that a sample of students spends watching television
per day is given below.
40 25 35 30 20 40 30 20

40 10 30 20 10 5 20

(a) Compute the mean b) The standard deviation. (c) The coefficient of variation.
(d) The 40th percentile.(e) The mode. (f) The interquartile range.

Note : Geometric mean and Harmonic mean problems are not given
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