Question 1)(i) Use matrix multiplication to divide Rs. 30,000 in two parts such that total annual interest at 9% on first part and 11% on the second part amount Rs. 3060.
(ii) Describe Quartile Deviation and Standard Deviation in detail.
Question 2) Write detailed notes on the following
I) Statistics and Business
II) Statistics and Economics
Question 3) Determine the number of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangement.
i) do the words start with P.?
ii) do all the vowels always occur together?
iii) do the vowels never occur together?
iv) do the words begin with I and end in P.
Question 4) Draw the histogram and gives curve for given data. Determine the number of workers whose wages lie between Rs. 157 and Rs. 177.
Daily wages No. of workers Daily wages No of workers
(Rs.) (Rs.)
115-125 21 155-165 104
125-135 48 165-175 72
135-145 82 175-185 69
145-155 167 185-195 17
Question 5) Particulars regarding income of two villagers are given below :
Village X Village Y
Number of People 600 500
Average Income (in Rs.) 175 186
Variance of Income (in Rs.) 100 081
I) In which village is the variation in income is greater?
II) What is the combined standard deviation of the village X and village Y put together?