Find the median of the following data (correct to two places of decimal).Class interval 0-6 6-12 12-18 18-24 24-30 30-36 Frequency 5 7 10 13 9 8
19.85
First find the total frequency: \(N = 5 + 7 + 10 + 13 + 9 + 8 = 52\).
So \(\frac{N}{2} = \frac{52}{2} = 26\).
The cumulative frequencies are 5, 12, 22, 35, 44, 52. The value 26 first exceeds 22 in the class 18-24, so this is the median class.
Here \(L = 18\), cumulative frequency before the class \(cf = 22\), frequency \(f = 13\) and class width \(h = 6\).
Median \(= L + \frac{\frac{N}{2} - cf}{f} \times h = 18 + \frac{26 - 22}{13} \times 6 = 18 + \frac{4}{13} \times 6\).
\(= 18 + 1.846 = 19.85\) (to two decimals).
Hence, the median of the data is 19.85.
Similar Questions
- The following observations are arranged in ascending order. If the median of the data is 19, then find the value of x.
6, 9, 15, x + 4, x + 8, x + 12, 30, 32 - The marks scored by 10 students are given below.
17, 19, 12, 20, 19, 14, 15, 18, 19, 14
The mode of the given data is: - Let a set S = {1, 2, 2, 3, 3, 3, 4, 4, 4, 4}. Then the value of $4 \times \text{mean} + 2 \times \text{mode} - 8 \times \text{median}$ is:
- The weights (in kg) of 7 men are 64, 63, 62, 65, 67, 66 and 61. The median weight is:
- Which of the following CANNOT take a negative value?
- The given data is arranged in ascending order and its median is 17. Find the value of $x$.
$8, 10, 12, 15, x, x + 2, 20, 25, 30, 32$ - Find the sum of the mean, median and mode of the given data.
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Height (cm) Number of persons 120 3 130 4 140 5 150 6 160 2 - If the mean of the following data is k, then find the value of k.
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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.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find 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
