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The variance of a data set is the arithmetic mean of the squared differences between the elements of the data set and the arithmetic mean of the data set. For example the arithmetic mean of the data set consisting of 2 7 and 9 is (2+7+9)/3 which is 6 and the variance is [(2-6)^2 + (7-6)^2 + (9-6)^2]/3 which is 26/3. What is the variance of the data set consisting of 3 4 5 6 and 7?

A certain store charges for photocopies by the number of pages. The charge is 14 cents per page for the first 5 pages 8 cents per page for each additional page after the first 5 but before the 11th page and 6 cents per page for each additional page after the first 10 pages. How many cents less is the average charge per page for photocopies of 25 pages than for photocopies of 6 pages?

Larry began reading a 392-page novel on Sunday and finished it the following Saturday. Each day after the first Larry read 12 pages more than he did the previous day. How many pages did Larry read on Sunday?

A manufacturer regularly receives shipments of computer chips. Over the past year the mean number of computer chips per shipment was 1200. If a shipment of 1456 chips was 1.6 standard deviations above the mean how many standard deviations below the mean was a shipment of 848 chips?

A certain tour company bought canoes kayaks and life jackets for a total of $3279. If the company paid $65 for each canoe $40 for each kayak and $2 for each life jacket then the company must have bought which of the following? I. An odd number of canoes II. An even number of kayaks III. An even number of life jackets