11, 12, 13, 14, 5, 7, 9, 6, 4, 1
Finding the Median of Given Data
To find the median, the data must first be arranged in ascending order.
Ordering the Data
The given data set is: 11, 12, 13, 14, 5, 7, 9, 6, 4, 1.
Arranging these numbers in ascending order gives:
1, 4, 5, 6, 7, 9, 11, 12, 13, 14
Calculating the Median
Count the total number of data points (N). In this case, N = 10.
Since N is an even number, the median is the average of the two middle values. The positions of these middle values are \(N/2\) and \((N/2) + 1\).
- Position \(N/2 = 10 / 2 = 5\). The 5th value is 7.
- Position \((N/2) + 1 = (10 / 2) + 1 = 5 + 1 = 6\). The 6th value is 9.
The median is calculated as the average of the 5th and 6th values:
\(\text{Median} = \frac{(\text{Value at 5th position}) + (\text{Value at 6th position})}{2}\)
\(\text{Median} = \frac{7 + 9}{2}\)
\(\text{Median} = \frac{16}{2}\)
\(\text{Median} = 8\)
Therefore, the median of the given data is 8.
Similar Questions
Find the median of the data 11, 16, 33, 15, 51, 19, 71, 75, 21, 17.
For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is:
- If the mean of a distribution is 8.73 and its median is 11, then the mode of the distribution is __________ (using empirical relation).
- If the median and mode of a data of 20 numbers are 250 and 295, respectively, then find the sum of the 20 numbers.
- What is the mode of the following data?
70, 70, 73, 71, 74, 69, 80, 68, 66, 66, 89, 83, 81, 86, 82, 74, 86, 87, 67, 72, 62, 76, 86, 65, 62 - The lifetime of certain species is given in the following table. Calculate the modal lifetime (rounded up to one decimal place) in days.
Lifetime (days) 0-10 10-20 20-30 30-40 40-50 50-60 Frequency 10 35 52 61 38 29 - Find the mean of the mode and the median of the given data.
15, 3, 8, 7, 6, 5, 5, 7, 18, 7 - Find the mean of the range and the mode of the given data.
4, 6, 11, 17, 18, 3, 11, 21, 5, 11 - Find the mean of the mode and the median of the given data.
15, 3, 8, 7, 6, 5, 5, 7, 18, 7 The median of the data 2, 6, 4, 8, 1, 2, 5, 8, 9, 10, 12, 9, 7, 8, 3, 1, 0, 9, 2, 5 is
Important Questions from Elementary Statistics
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
Find the mean of first 5 two-digit multiples of 4.
