In an attempt to judge and monitor the quality of instruction, the administration of Mega- Byte Academy devised an examination to test students on the basic concepts that all should have learned. Each year, a random sample of 10 graduating students is selected for the test. The average score is used to track the quality of the educational process. Test results for the past 10 years are shown in Table.

Use these data to estimate the center and standard deviation for this distribution. Then calculate the two-sigma control limits for the process average. What comments would you make to the administration of the Mega-ByteAcademy?

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TEST SCORES ON EXIT EXAM Student Year 10 63 57 92 8770675 58 63 71 2 907759 88 48 83 63 9 70 3 67 7 71 86 986090 62677861 89 93 71 59 93 84 2 Average 69.7 744 75.7 5 85 77 69 5890 97 2 66076.0 66057 7 8364 94 86 64 92 74 753 79.4 81.8 83.6 84.9 7 94 85 56 77 89 72 71 6 9297 97 86 8 88 65 87 76 8817 9 94 7688 65 3 87 94 63 88 9 7 79 93 87 69 85 7 10