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mean, median, mode, and range (a) calculate the mean, median, mode, and…

Question

mean, median, mode, and range (a)
calculate the mean, median, mode, and range of each set of numbers.

  1. {320,486,750,803,849}
  2. {196,205,755,773,831}
  3. {119,239,457,617,878}
  4. {126,246,246,269,797}
  5. {170,190,190,378,579}
  6. {241,383,782,848,984}
  7. {158,501,654,821,821}
  8. {271,372,547,652,926}
  9. {307,393,402,799,905}
  10. {550,550,580,738,774}
  11. {243,337,733,875,875}
  12. {145,589,770,879,946}
  13. {107,107,107,457,457}
  14. {261,261,261,525,734}

,784,904}

  1. {319,319,542,948,950}

Explanation:

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: \(849 - 320 = 529\).

Answer:

Mean: \(641.6\), Median: \(750\), Mode: No mode (all distinct), Range: \(529\)