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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.
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