Measures of Central Tendency (Grade 7)

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Measures of Central Tendency

1. 
Which of the following sets of numbers has the lowest mean?
Set 1: 12, 14, 67, 15, 23, 49, 64
Set 2: 18, 94, 25, 14, 8, 5, 2, 11
Set 3: 47, 49, 31, 10, 9, 8, 25, 3
  1. They all have the same mean
  2. Set 1
  3. Set 2
  4. Set 3
2. 
Which of the following sets of numbers has the highest mean?
Set 1: 302, 328, 364, 312, 324
Set 2: 323, 319, 351, 331, 306
Set 3: 307, 315, 338, 325, 345
  1. They all have the same mean
  2. Set 1
  3. Set 2
  4. Set 3
3. 
Which of the following sets of numbers has the lowest median?
Set 1: 321, 319, 371, 330, 306
Set 2: 300, 228, 364, 714, 324
Set 3: 209, 515, 536, 305, 345
  1. They all have the same median
  2. Set 1
  3. Set 2
  4. Set 3
4. 
Which of the following sets of numbers has the smallest range?
Set 1: 43, 77, 46, 10, 68, 74
Set 2: 85, 27, 93, 37, 46, 71
Set 3: 63, 62, 12, 76, 49, 91
  1. They all have the same median
  2. Set 1
  3. Set 2
  4. Set 3
5. 
Which of the following sets of numbers has the lowest mean?
Set 1: 409, 402, 434, 457, 675
Set 2: 475, 578, 234, 576, 479
Set 3: 678, 324, 467, 586, 579
  1. They all have the same mean
  2. Set 1
  3. Set 2
  4. Set 3
6. 
Two boys are competing to see how many times they can dunk a basketball per minute. The boys dunk basketballs as fast as they can for 5 minutes. The first boy's number of basketball dunks during each minute are: 27, 32, 33, 33, 26. The second boy's numbers are: 28, 27, 29, 34, 30. Which of the two boys dunked the most basketballs per minute?
  1. They tied
  2. The first boy
  3. The second boy
7. 
A family decides to hold two Christmas parties: One on Christmas eve, and one on Christmas day. The youngest person to attend the Christmas eve party is 15 and the oldest is 29. The youngest person to attend the Christmas day party is 27 and the oldest is 42. Which party has largest age range of visitors?
  1. Neither have a large age range
  2. The parties have an equal age range
  3. The Christmas eve party
  4. The Christmas day party
8. 
A fishing boats gets the following amount of fish over a series of catching sessions: 65, 69, 67, 68, 65, 65. A rival fishing boat nearby gets similar statistics: 65, 69, 69, 67, 66, 64. Which fishing boat has the highest mode throughout their catching session statistics?
  1. Both have the same mode
  2. The first fishing boat
  3. The second fishing boat
  4. Neither boat has a mode
9. 
Two mothers each have 5 kids. The first mother's kids are ages 7, 9, 13, 14, 18. The second mother's kids are ages 6, 10, 11, 16, 19. Which mother's kids have the highest age median?
  1. The first mother
  2. The second mother
  3. Both have a high median
  4. Both have a low median
10. 
Three golfers are competing for the longest distance. Their longest distances in yards over a period of an hour are as follows:

First golfer: 260, 267, 234, 290, 267
Second golfer: 261, 260, 260, 273, 260
Third golfer: 287, 281, 276, 260, 281

Which golfer has the highest mode?
  1. First golfer
  2. Second golfer
  3. Third golfer
  4. They are tied

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