X= 3. Prove the following: The arithmetic mean for grouped data is given by and m denote the frequency and mid-point respectively. 4. Define the following: i. Statistic ii. Parameter m Σr . where f

The accompanying data table contains the prices and weights of the diamonds in 10 rings offered for sale. The prices are 4 carats an Xough d belo Data (Daund both The weight in carats and price in dollars for 10 diamond rings Weight 0.29 0.32 0.34 0.17 0.36 0.36 0.12 0.14 0.23 0.26 Price 924 881 1,039 445 1,073 1,034 120 320 665 733 Print Done - rings. ble.

3:34 İ. Construct a simple frequency distribution for grouped data; display your findings in a table (number of intervals should be 5) ii. Add a column to your table with the cumulative frequency (bottom up). iii. Add a column to your table with the relative frequency. iv. Add a column to your table with the relative percent. v. Add a column to your table with the cumulative percent. vi. Construct a histogram that distributes the intervals along the horizontal scale (x-axis) and list the frequency of scores in each interval on the vertical scale vii. Construct an Ogive for this data. Grade 95 94 65 77 69 45 54 88 75 39 15 56 63 93 84 70 63 52 79 81 87 69 99 48 65 83 44 5G 91 35 57 60

Make a frequency distribution for the data. X f 1 2 2 20 3 21 4 15 The sample mean is x = (Round to one decimal place as needed.)