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Find the mean, median, mode(s), and range of the following data.


5,3,2,6,5,2,5
mean: 
qquad median: 
qquad mode: 
qquad range: 
qquad

24,12,10,15,10,22,12 mean: 
qquad median: 
qquad mode: 
qquad

qquad range: 
qquad

qquad

14,9,20,5,17,13 mean: 
qquad median: 
qquad mode: 
qquad range: 
qquad

qquad

21,15,16,25,13,18
mean: 
qquad median: 
qquad 17 mode: 
qquad range: 
qquad

qquad

20,17,10,31,25,18,12
mean: 
qquad median: 
qquad mode: 
qquad range: 
qquad 
48,40,53,43,52,46
mean: 
qquad median: 
qquad mode: 
qquad range: 
qquad 
9,15,28,10,8
nean: 
qquad median: 
qquad mode: 
qquad range: 
qquad 
22,33,22,85,58 
qquad median: 
qquad mode: 
qquad range: 
qquad 
35,18,20,17,30 
qquad median: 
qquad mode: 
qquad range: 
qquad

130,120,125,140,125

qquad median: 
qquad mode: 
qquad range: 
qquad

Find the mean, median, mode(s), and range of the following data.\newline11) 5,3,2,6,5,2,5 5,3,2,6,5,2,5 \newlinemean: \qquad median: \qquad mode: \qquad range: \qquad \newline22) 24,12,10,15,10,22,12 24,12,10,15,10,22,12 mean: \qquad median: \qquad mode: \qquad \newline \qquad range: \qquad \newline \qquad \newline33) \qquad 22 mean: \qquad median: \qquad mode: \qquad range: \qquad \newline \qquad \newline44) \qquad 88\newlinemean: \qquad median: \qquad 1717 mode: \qquad range: \qquad \newline \qquad \newline55) \qquad 44\newlinemean: \qquad median: \qquad mode: \qquad range: \qquad \qquad 99\newlinemean: \qquad median: \qquad mode: \qquad range: \qquad \qquad 44\newlinenean: \qquad median: \qquad mode: \qquad range: \qquad \qquad 99 \qquad median: \qquad mode: \qquad range: \qquad \qquad 44 \qquad median: \qquad mode: \qquad range: \qquad \newline \qquad 99\newline \qquad median: \qquad mode: \qquad range: \qquad

Full solution

Q. Find the mean, median, mode(s), and range of the following data.\newline11) 5,3,2,6,5,2,5 5,3,2,6,5,2,5 \newlinemean: \qquad median: \qquad mode: \qquad range: \qquad \newline22) 24,12,10,15,10,22,12 24,12,10,15,10,22,12 mean: \qquad median: \qquad mode: \qquad \newline \qquad range: \qquad \newline \qquad \newline33) \qquad 22 mean: \qquad median: \qquad mode: \qquad range: \qquad \newline \qquad \newline44) \qquad 88\newlinemean: \qquad median: \qquad 1717 mode: \qquad range: \qquad \newline \qquad \newline55) \qquad 44\newlinemean: \qquad median: \qquad mode: \qquad range: \qquad \qquad 99\newlinemean: \qquad median: \qquad mode: \qquad range: \qquad \qquad 44\newlinenean: \qquad median: \qquad mode: \qquad range: \qquad \qquad 99 \qquad median: \qquad mode: \qquad range: \qquad \qquad 44 \qquad median: \qquad mode: \qquad range: \qquad \newline \qquad 99\newline \qquad median: \qquad mode: \qquad range: \qquad
  1. Calculate Mean: For the data set 5,3,2,6,5,2,55,3,2,6,5,2,5, first, we need to find the mean by adding all the numbers and dividing by the number of values.\newlineMean = (5+3+2+6+5+2+5)/7(5 + 3 + 2 + 6 + 5 + 2 + 5) / 7\newlineMean = 28/728 / 7\newlineMean = 44
  2. Find Median and Mode: Next, we arrange the data in ascending order to find the median and mode: 2,2,3,5,5,5,62, 2, 3, 5, 5, 5, 6. The median is the middle number, which is 55.
  3. Calculate Range: The mode is the number that appears most frequently, which is also 55.
  4. Calculate Mean: The range is the difference between the highest and lowest values: 62=46 - 2 = 4.
  5. Find Median and Mode: For the data set 24,12,10,15,10,22,1224,12,10,15,10,22,12, we calculate the mean:\newlineMean = (24+12+10+15+10+22+12)/7(24 + 12 + 10 + 15 + 10 + 22 + 12) / 7\newlineMean = 105/7105 / 7\newlineMean = 1515
  6. Calculate Range: We arrange the data in ascending order: 10,10,12,12,15,22,2410, 10, 12, 12, 15, 22, 24. The median is the middle number, which is 1212.
  7. Calculate Mean: The mode is the number that appears most frequently, which are 1010 and 1212.
  8. Find Median and Mode: The range is the difference between the highest and lowest values: 2410=1424 - 10 = 14.
  9. Calculate Range: For the data set 14,9,20,5,17,1314, 9, 20, 5, 17, 13, we calculate the mean:\newlineMean = (14+9+20+5+17+13)/6(14 + 9 + 20 + 5 + 17 + 13) / 6\newlineMean = 78/678 / 6\newlineMean = 1313
  10. Calculate Mean: We arrange the data in ascending order: 5,9,13,14,17,205, 9, 13, 14, 17, 20. The median is the average of the two middle numbers, which is (13+14)/2=13.5(13 + 14) / 2 = 13.5.
  11. Find Median and Mode: There is no mode since no number repeats.
  12. Calculate Range: The range is the difference between the highest and lowest values: 205=1520 - 5 = 15.
  13. Calculate Mean: For the data set 21,15,16,25,13,1821, 15, 16, 25, 13, 18, we calculate the mean:\newlineMean = (21+15+16+25+13+18)/6(21 + 15 + 16 + 25 + 13 + 18) / 6\newlineMean = 108/6108 / 6\newlineMean = 1818
  14. Find Median and Mode: We arrange the data in ascending order: 13,15,16,18,21,2513, 15, 16, 18, 21, 25. The median is the average of the two middle numbers, which is (16+18)/2=17(16 + 18) / 2 = 17.
  15. Calculate Range: There is no mode since no number repeats.
  16. Calculate Mean: The range is the difference between the highest and lowest values: 2513=1225 - 13 = 12.
  17. Find Median and Mode: For the data set 20,17,10,31,25,18,1220,17,10,31,25,18,12, we calculate the mean:\newlineMean = (20+17+10+31+25+18+12)/7(20 + 17 + 10 + 31 + 25 + 18 + 12) / 7\newlineMean = 133/7133 / 7\newlineMean = 1919
  18. Calculate Range: We arrange the data in ascending order: 10,12,17,18,20,25,3110, 12, 17, 18, 20, 25, 31. The median is the middle number, which is 1818.
  19. Calculate Mean: There is no mode since no number repeats.
  20. Find Median and Mode: The range is the difference between the highest and lowest values: 3110=2131 - 10 = 21.
  21. Calculate Range: For the data set 48,40,53,43,52,4648,40,53,43,52,46, we calculate the mean:\newlineMean = (48+40+53+43+52+46)/6(48 + 40 + 53 + 43 + 52 + 46) / 6\newlineMean = 282/6282 / 6\newlineMean = 4747
  22. Calculate Mean: We arrange the data in ascending order: 40,43,46,48,52,5340, 43, 46, 48, 52, 53. The median is the average of the two middle numbers, which is (46+48)/2=47(46 + 48) / 2 = 47.
  23. Find Median and Mode: There is no mode since no number repeats.
  24. Calculate Range: The range is the difference between the highest and lowest values: 5340=1353 - 40 = 13.
  25. Calculate Mean: For the data set 9,15,28,10,89, 15, 28, 10, 8, we calculate the mean:\newlineMean = (9+15+28+10+8)/5(9 + 15 + 28 + 10 + 8) / 5\newlineMean = 70/570 / 5\newlineMean = 1414
  26. Find Median and Mode: We arrange the data in ascending order: 8,9,10,15,288, 9, 10, 15, 28. The median is the middle number, which is 1010.
  27. Calculate Range: There is no mode since no number repeats.
  28. Calculate Mean: The range is the difference between the highest and lowest values: 288=2028 - 8 = 20.
  29. Find Median and Mode: For the data set 22,33,22,85,5822,33,22,85,58, we calculate the mean:\newlineMean = (22+33+22+85+58)/5(22 + 33 + 22 + 85 + 58) / 5\newlineMean = 220/5220 / 5\newlineMean = 4444
  30. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333.
  31. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222.
  32. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63.
  33. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424
  34. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020.
  35. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020. There is no mode since no number repeats.
  36. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020. There is no mode since no number repeats. The range is the difference between the highest and lowest values: 333300.
  37. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020. There is no mode since no number repeats. The range is the difference between the highest and lowest values: 333300. For the data set 333311, we calculate the mean: Mean = 333322 Mean = 333333 Mean = 333344
  38. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020. There is no mode since no number repeats. The range is the difference between the highest and lowest values: 333300. For the data set 333311, we calculate the mean: Mean = 333322 Mean = 333333 Mean = 333344 We arrange the data in ascending order: 333355. The median is the middle number, which is 333366.
  39. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020. There is no mode since no number repeats. The range is the difference between the highest and lowest values: 333300. For the data set 333311, we calculate the mean: Mean = 333322 Mean = 333333 Mean = 333344 We arrange the data in ascending order: 333355. The median is the middle number, which is 333366. The mode is the number that appears most frequently, which is 333366.
  40. Calculate Range: We arrange the data in ascending order: 22,22,33,58,8522, 22, 33, 58, 85. The median is the middle number, which is 3333. The mode is the number that appears most frequently, which is 2222. The range is the difference between the highest and lowest values: 8522=6385 - 22 = 63. For the data set 35,18,20,17,3035,18,20,17,30, we calculate the mean: Mean = (35+18+20+17+30)/5(35 + 18 + 20 + 17 + 30) / 5 Mean = 120/5120 / 5 Mean = 2424 We arrange the data in ascending order: 17,18,20,30,3517, 18, 20, 30, 35. The median is the middle number, which is 2020. There is no mode since no number repeats. The range is the difference between the highest and lowest values: 333300. For the data set 333311, we calculate the mean: Mean = 333322 Mean = 333333 Mean = 333344 We arrange the data in ascending order: 333355. The median is the middle number, which is 333366. The mode is the number that appears most frequently, which is 333366. The range is the difference between the highest and lowest values: 333388.

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