Assignment # 3

MTH302 (Spring 2015)

Total marks: 10

Lecture # 23 to 30

Due Date: July 31, 2015

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Section A

Question 1:

(i)Arrange the following set of data in ascending order and write down the frequency table showing the frequency of each term in front of it 9,10,9,8,7,5,3,9,8,8,7,5,5,5,5,3,2,2,3,1,1,2,3,3,2,1,6,7,8,3.

(ii)Find first second and third quartile of the following data

12, 18, 13,19,16,14,15,17,20.

Question 2:

Find the slope of the regression line “Y = a + bX” with the help of the following data:

X / 4 / 3 / 5 / 7
Y / 7 / 8 / 9 / 12

Section B

Question 1:

In a Honda center sales man collected spare part prices $8, $2, $14, $13, $22, $18, $30, $25, $52, $46, $63 in one day. Find out the lower quartile, upper quartile and interquartile range for the above given data.

Question 2:

Find the correlation coefficient r between variables X and Y using the following table (Do not use excel formulas to find correlation coefficient)

X / 8 / 9 / 10 / 11
Y / 10 / 5 / 12 / 11

Section C

Question 1:

60 / 80 / 90 / 96 / 120 / 150 / 200 / 360 / 480 / 520 / 1060 / 1200 / 1450 / 2500 / 7200

The annual incomes (in thousands of $) of fifteen families is as

Calculate the

  • Geometric mean
  • Harmonic mean
  • Quartile deviation

for the given data.

Question 2:

Find the correlation between candidates score in interview and written test for a random sample of 6 candidates, which is as

X / 2 / 4 / 5 / 6 / 8 / 11
Y / 18 / 12 / 10 / 8 / 7 / 5

Where X=Interview marks, Y=Marks of written test.

Section D

Question 1:

A company expenditures on advertising (in hundreds of $) are as follows:

X / 15 / 20 / 22 / 11 / 27 / 18 / 33 / 12 / 14 / 27 / 10

Find

1)Range

2)Mid Range

3)Median

4)Mode

Question 2:

From the data ‘x’ values 22, 35, 38, 33, 28, 37, 40, 20, 26, calculate

1)Mean deviation

2)Variance