QUESTION IMAGE
Question
mean, median, mode, and range (a)
calculate the mean, median, mode, and range of each set of numbers.
- {320,486,750,803,849}
- {196,205,755,773,831}
- {119,239,457,617,878}
- {126,246,246,269,797}
- {170,190,190,378,579}
- {241,383,782,848,984}
- {158,501,654,821,821}
- {271,372,547,652,926}
- {307,393,402,799,905}
- {550,550,580,738,774}
- {243,337,733,875,875}
- {145,589,770,879,946}
- {107,107,107,457,457}
- {261,261,261,525,734}
,784,904}
- {319,319,542,948,950}
Step1: Calculate Mean
Sum the numbers: \(320 + 486 + 750 + 803 + 849 = 320+486=806; 806+750=1556; 1556+803=2359; 2359+849=3208\). Divide by count (5): \(\frac{3208}{5} = 641.6\).
Step2: Find Median
Order the set: \(\{320, 486, 750, 803, 849\}\). Middle term (3rd) is \(750\).
Step3: Determine Mode
No repeated numbers, so no mode (or all unique).
Step4: Compute Range
Subtract min from max: \(849 - 320 = 529\).
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Mean: \(641.6\), Median: \(750\), Mode: No mode (all distinct), Range: \(529\)