Calculating the Median Weight
The goal is to find the median weight from the given list of 7 men's weights.
Ordering the Weights
First, arrange the weights in ascending order:
- 61 kg
- 62 kg
- 63 kg
- 64 kg
- 65 kg
- 66 kg
- 67 kg
Finding the Median Value
The median is the middle value in a sorted data set. Since there are 7 observations (an odd number), the median is the value at the middle position.
The position of the median is calculated using the formula:
Position = $\frac{n+1}{2}$
Where 'n' is the number of observations.
In this case, $n = 7$.
Position = $\frac{7+1}{2} = \frac{8}{2} = 4$
The median is the 4th value in the ordered list.
Looking at the ordered list (61, 62, 63, 64, 65, 66, 67), the 4th value is 64 kg.
Therefore, the median weight is 64 kg.
Similar Questions
- 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:
- 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.
$9, 35, 20, 25, 25, 15, 25$ - In the given data if 30 is replaced by 100 then find the difference of the two medians.
80, 90, 40, 30, 20, 10, 70, 60, 50 - Find the mean height of persons from the following data.
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.
Value 3 2 k 4 5 Frequency k 2k 3k 4k 5k - A alone can complete a work in 12 days and B alone can complete the same work in 18 days. They started working together, but A left after 3 days. In how many days will B alone be able to complete the remaining work?
- For the data set 1, 2, 3, 5, 2, 3, 4, 6, 6, 8, 3, 4, 5 which of the following options is INCORRECT?
- If the median and mean are 36 and 35 respectively, find the mode.
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.
