Question

1. Find x and y so that the ordered data set has a mean of 42 and a median of 35, hence compute the harmonic mean and geometric mean of the data sample.

       17, 22, 26, 29, 34, x, 42, 67, 70, y                                                         

2. The lengths, in centimeters, of 18 snakes are given below. Draw an ordered stem-and-leaf diagram for the data.                                                                                                                                    

24, 62, 20, 65, 27, 67, 69, 32, 40, 53, 55, 47, 33, 45, 55, 56, 49, 58

3. Costs of production have been monitored for some time within a company and the following data found:

Production level (‘000)	1	2	3	4	5	6	7	8
Average Total cost (sh 000)	70	65	50	40	30	25	20	21

1. Calculate the correlation coefficient.                                                                        
2. Calculate the coefficient of determination and explain its significance for the company.                                                                                                                                                   

4. Using the following frequency distribution table;

Class	10-19	20-29	30-39	40-49	50-59	60-69
Frequency	4	66	47	36	12	4

Find

1. The mean                                                                                                       
2. Median                                                                                                           
3. Standard deviation                                                                                         
4. Coefficient of skewness and comment                                                          

5. A single fair die is tossed. What is the probability that the score is a prime number?                
6. The following data represents the comparison made between the price of a consumer product and the corresponding demand.

Price (x)	32	33	35	40	47	46	44	38	50	58
Demand (y)	28	25	27	30	20	18	18	31	12	10

      Determine the linear regression equation of the form y= a+bx that relates price (x) and demand (y).                                                                                                                                                                        

7. An integer is randomly selected between 1 and 50, inclusively. Find the probability that the number is not divisible by 7.                                                                                                                              

There are three arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word PROBABILITY?            

Answer 1