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}
15. {116, 686, 702, 784, 904}
16. {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

Sort the set: \(\{320, 486, 750, 803, 849\}\)
Middle term (3rd): \(750\)

Step3: Determine Mode

No repeated numbers, so mode: None (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: \(529\)