Find the mean , median , and mode of the data set . Round to the nearest tenth . 15, 13 , 9 , 9 , 7 , 1 , 11 , 10 , 13 , 1, 13
To find the mean, we add up all the numbers and divide by the total number of numbers:
(15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13) / 11 = 92 / 11 ≈ 8.4
The mean is approximately 8.4.
To find the median, we first need to put the numbers in order from least to greatest:
1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
There are 11 numbers, so the median is the middle number. In this case, there are two middle numbers (9 and 10), so we find the average of those two:
(9 + 10) / 2 = 9.5
The median is 9.5.
To find the mode, we look for the number that appears most frequently. In this case, both 13 and 1 appear three times each, so there are two modes: 13 and 1.
To find the mean of a data set, you need to sum up all the values and then divide by the total number of values.
Step 1: Add up all the values:
15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13 = 103
Step 2: Count the total number of values:
There are 11 values in the data set.
Step 3: Divide the sum by the total number of values to find the mean:
Mean = 103 / 11 = 9.4 (rounded to the nearest tenth)
To find the median of a data set, you need to organize the values in ascending order and then find the middle value.
Step 1: Order the values in ascending order:
1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
Step 2: Find the middle value:
Since there are 11 values, the middle value is the 6th value, which is 10.
Therefore, the median is 10.
To find the mode of a data set, you need to determine the value(s) that occur(s) most frequently.
Step 1: Count the frequency of each value:
1: 2 times
7: 1 time
9: 2 times
10: 1 time
11: 1 time
13: 3 times
15: 1 time
Step 2: Determine the mode(s):
The value that occurs most frequently in the data set is 13.
Therefore, the mode is 13.
In summary:
Mean = 9.4
Median = 10
Mode = 13