Find the mean, median and mode for each set of values.
1,1,3,3,5,5,6,7,9,9,9,10,10
Mean: (1+1+3+3+5+5+6+7+9+9+9+10+10)/13 = 69/13 ≈ 5,31
Median: There are 13 numbers, so the median is the middle number when they are listed in order. Putting them in order, we get: 1,1,3,3,5,5,6,7,9,9,9,10,10. Thus, the median is 5.
Mode: The mode is the number that appears most frequently. In this set, both 9 and 10 appear three times, and they are the most frequent values. Therefore, the mode is 9 and 10.
To find the mean, median, and mode for the given set of values: 1, 1, 3, 3, 5, 5, 6, 7, 9, 9, 9, 10, 10, we can follow these steps:
Step 1: Calculate the Mean
The mean can be found by adding up all the values and then dividing by the total number of values.
1 + 1 + 3 + 3 + 5 + 5 + 6 + 7 + 9 + 9 + 9 + 10 + 10 = 78
78 / 13 = 6
So, the mean for this set of values is 6.
Step 2: Calculate the Median
The median is the middle value when the numbers are arranged in ascending order. So, let's arrange the numbers in ascending order:
1, 1, 3, 3, 5, 5, 6, 7, 9, 9, 9, 10, 10
We have 13 numbers, so the median will be the 7th value. In this case, the 7th value is 6. So, the median is 6.
Step 3: Calculate the Mode
The mode is the value that appears most frequently in the set. In this set, the number 9 appears three times, which is more than any other number. So, the mode is 9.
In summary, for the given set of values: 1, 1, 3, 3, 5, 5, 6, 7, 9, 9, 9, 10, 10
- Mean = 6
- Median = 6
- Mode = 9