Find the median mode and range for each set of data.
1.11,18,19,20,20,23
Median=19.5
Mode=20
Range=12
2.52,56,60,67
Median=58
Mode=No mode
Range=15
3.6.6,7.5,7.5,7.8,8.0
MEdian=7.5
Mode=7.5
Range=1.4
4.89,91,92,92,95
Median=92
Mode=92
Range=6
5.18,23,23,25
Median=23
Mode=23
Range=7
6.112,100,100
Median=110
Mode=100
Range=12
Do you have a typo in 6?
The others are correct.
100 for the median on 6
Right!
GOOD JOB!!!!!!!!!!
To find the median, mode, and range for each set of data, you can follow these steps:
1. Median: Arrange the numbers in the set in ascending order. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
2. Mode: Look for the number(s) that appear most frequently in the set. If there is no number that appears more than once, then there is no mode.
3. Range: Find the difference between the largest and smallest numbers in the set.
Now let's apply these steps to each set of data you provided:
1. Set: 11, 18, 19, 20, 20, 23
- Median: Since there are 6 values in the set, the two middle numbers are 19 and 20. Therefore, the median is the average of 19 and 20, which is 19.5.
- Mode: The number 20 appears twice, which is more than any other number in the set. Therefore, the mode is 20.
- Range: The largest number is 23 and the smallest number is 11. The difference between them is 23-11=12. Therefore, the range is 12.
2. Set: 52, 56, 60, 67
- Median: Since there are 4 values in the set, the two middle numbers are 56 and 60. Therefore, the median is the average of 56 and 60, which is 58.
- Mode: None of the numbers appear more than once in the set, so there is no mode.
- Range: The largest number is 67 and the smallest number is 52. The difference between them is 67-52=15. Therefore, the range is 15.
3. Set: 6.6, 7.5, 7.5, 7.8, 8.0
- Median: Since there are 5 values in the set, the middle number is 7.5.
- Mode: The number 7.5 appears twice, which is more than any other number in the set. Therefore, the mode is 7.5.
- Range: The largest number is 8.0 and the smallest number is 6.6. The difference between them is 8.0-6.6=1.4. Therefore, the range is 1.4.
4. Set: 89, 91, 92, 92, 95
- Median: Since there are 5 values in the set, the middle number is 92.
- Mode: The number 92 appears twice, which is more than any other number in the set. Therefore, the mode is 92.
- Range: The largest number is 95 and the smallest number is 89. The difference between them is 95-89=6. Therefore, the range is 6.
5. Set: 18, 23, 23, 25
- Median: Since there are 4 values in the set, the two middle numbers are 23 and 23. Therefore, the median is the average of 23 and 23, which is 23.
- Mode: The number 23 appears twice, which is more than any other number in the set. Therefore, the mode is 23.
- Range: The largest number is 25 and the smallest number is 18. The difference between them is 25-18=7. Therefore, the range is 7.
6. Set: 112, 100, 100
- Median: Since there are 3 values in the set, the median is the middle number, which is 100.
- Mode: The number 100 appears twice, which is more than any other number in the set. Therefore, the mode is 100.
- Range: The largest number is 112 and the smallest number is 100. The difference between them is 112-100=12. Therefore, the range is 12.