Q: What is the mean of 80 92 91 75 89 84 0 85 and 78?

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83

The variance of 73 72 67 74 78 84 79 71 76 76 79 81 75 80 78 76 78 = 16.8456

Median: 80 Mode: 72, 80, 120, 98, 78, 84, 77

96

The mean is now: (74+76+77+78+79+80+80+82+84)/9 = 78.889. Since 50 is an outlier, the overall representation of the test score becomes more accurate since the majority of values lie between 74 and 84.

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For 72 68 64 90 80 84 78 75 76 77: σ=7.4863

83

The variance of 73 72 67 74 78 84 79 71 76 76 79 81 75 80 78 76 78 = 16.8456

87

(75+83+78+X)/4=80, solve for X X=4*80-75-83-78 So X=84

84 years. For a chart, see the Wolfram|Alpha link.

Median: 80 Mode: 72, 80, 120, 98, 78, 84, 77

96

Anything from 75 to 84.

The mean (average) of these numbers is 70.53 to two decimal places. (The final digit is a repeating 3)

The mean is now: (74+76+77+78+79+80+80+82+84)/9 = 78.889. Since 50 is an outlier, the overall representation of the test score becomes more accurate since the majority of values lie between 74 and 84.

84 * 78 = 80*70 + 80*8 + 4*70 + 4*8 = 5600 + 640 + 280 + 32 = 6552