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Question

Question 6 Marks: 6

Suppose there are nine homes valued at Rs. 150,0000, Rs. 140,0000, Rs.160,0000, Rs.130,0000, Rs.180,0000, Rs.170,0000, Rs.190,0000, Rs.120,0000, and Rs160,0000 in a new area. There is one small empty lot in the area and someone builds small home with a valuation of Rs. 20,0000. Find either the distribution is negatively skewed or positively skewed by first finding the first quartile, third quartile and median.

Question 5: Marks: 5

A company increases the price of its products at the following rate

Rs. 150 in the product range up to Rs. 4000.

Rs. 200 in the product range from Rs. 6000

Rs. 250 in the product range from Rs. 8000

Rs. 300 in the product range from Rs. 10000

Rs. 350 in the product range from Rs. 12000

Rs. 400 in the product range from Rs. 14000.

No increase in the price if the price of product is 16000 or above. What benefit company will receive on sale of one item of each product if there are 30 products with the following price

3700 3900 4200 5000 5500 5700

5800 6200 6400 7200 7900 8000

8100 8800 10300 10700 11200 11400

11500 11600 11800 12200 13000 13100

13200 13800 13900 14200 15000 15000

Answer 1

X

200000

1200000

1300000

1400000

1500000

1600000

1600000

1700000

1800000

1900000

Coefficient of showness = 23 + 21 – 2(Median)

                                              23  - 21

Q1 =   n + 1  th item

               4

Q1 =    10 + 1    =  11  =  2.75

4 4

The value of  2th item + .75(3th item - 2th item)

                     1200000 + .75 (1300000-1200000)

                     1200000 + .75 (100000)

                     1200000 + 75000

          Q1 = 1275000

           Q3 =  3(n + 1)  th item

                           4

                 =  3(10 + 1) = 30+3 = 8.25 th item

4 4

The value of 8th item + .25 (9th item – 8th item)

                   1700000 + .25 (1800000 – 1700000)

                   1700000 + .25 (100000)

                   1700000 + 25000

         Q3 =  1725000

                    

Median = n + 1 th item

                    2

             = 10 + 1  =  11  = 5.5 th item

2 2

The value of  5th item+ .5 ( 6th  item – 5th item )

                    1500000 + .5 ( 1600000 – 1500000 )

                    1500000 + .5 ( 100000 )

                    1500000 + 50000

      Median = 1550000

Coefficient of skew ness =  Q3 + Q1 –2(Median)

                                                    Q3 – Q1

                                        =  1725000 + 1275000 – 2(1550000)  

                                                     1725000 - 1275000                

                                      

                                        = 1725000 + 1275000 – 3100000

                                                             450000

                                      

                                        =  1725000 – 1825000

                                                      450000

                                  

                                       =            -100000

                                                       450000

                                      =          -.222 waqar saleem baig vu aligarh college