Answer:
Median = 8
Step-by-step explanation:
Ascending order: 1,1,4,5,7,9,10,12,13,14
Number of data = 10
Median = mean of middle two terms.
= mean of 5th and 6th term
[tex]\sf = \dfrac{7+9}{2}\\\\\\=\dfrac{16}{2}\\\\\\=8[/tex]
To find the median of the data set {1, 4, 5, 7, 12, 14, 1, 13, 9, 10}, first sort the numbers in ascending order to get {1, 1, 4, 5, 7, 9, 10, 12, 13, 14}, then find the average of the fifth and sixth numbers, which is (7+9)/2, resulting in a median of 8.
The question asks for the value of the median in the data set {1, 4, 5, 7, 12, 14, 1, 13, 9, 10}. To find the median, one must organize the data in ascending order and then determine the middle value of the sequence. If the data set has an even number of values, the median is the average of the two middle numbers.
First, let's sort the data set: {1, 1, 4, 5, 7, 9, 10, 12, 13, 14}. Since there are 10 numbers, we take the fifth and sixth values, which are 7 and 9. To find the median, we compute the average of these two numbers: (7 + 9)/2 = 8. Therefore, the median of the given distribution is 8.
