Find the mean median and mode of the data set:
10 11 4 7 12 11 16 6 9 15
Answer:
Mean = 10.1
Median = 10.5
Mode = 11
Step-by-step explanation:We are given a set of data: 10,11,4,7,12,11,16,6,9,15
First we arrange into ascending order. 4, 6, 7, 9, 10, 11, 11, 12, 15, 16
Thus, The mean of given data is 10.1Number of data is even.
Possible median: where, n=10 of the arranged data would be median. Median: 10 and 11Average of median Thus, The median of given data is 10.5
Mode: It is maximum repeated number of data set. In the given data set, 11 repeated two times. Thus, The mode the given data is 11
Mean: Add the data together and divide by 10.
Median: Arrange them in numerical order and take the average of the 5th and 6th number.
Mode: The number that appears most often. In this set, the mode is 11.
sort the data to get
4 6 7 9 10 11 11 12 15 16
Now it is easy to see
mode = 11
median = 10.5
mean = 10.1
can you have these numbers 11,9,8,12,4,7,7,10,15
Can you have this numbers? To find mean, median and mode 25, 4, 17, 9, 11, 26, 13, 9, 12, 59, 11, 13, 7, 22, 11
No
Find the median travel time for that group of students.
Students of 12
16,16,13,7,8 13,13,15,15,11,6,11
To find the mean, median, and mode of a data set, follow these steps:
1. Mean:
To find the mean, add up all the values in the data set and divide the sum by the total number of values.
For this data set: 10 + 11 + 4 + 7 + 12 + 11 + 16 + 6 + 9 + 15 = 101
There are 10 values, so the mean is: 101 / 10 = 10.1
2. Median:
To find the median, arrange the values in ascending order and determine the middle value. If there is an even number of values, take the average of the two middle values.
First, let's put the values in order: 4, 6, 7, 9, 10, 11, 11, 12, 15, 16
There are 10 values, so the median is the average of the two middle values: (10 + 11) / 2 = 10.5
3. Mode:
The mode is the value that appears most frequently in the data set. In this case, the number 11 appears twice, which is more than any other value, so the mode is 11.
Therefore, for the given data set:
Mean = 10.1
Median = 10.5
Mode = 11