2, 3, 5, 7, 2, 3, 3, 5, 7 and 9.
Data Set Analysis
The given data set is: 2, 3, 5, 7, 2, 3, 3, 5, 7, 9.
Median Calculation
To find the median, first arrange the data in ascending order:
2, 2, 3, 3, 3, 5, 5, 7, 7, 9
There are 10 data points (an even number). The median is the average of the two middle values.
The middle positions are the 5th and 6th values in the sorted list.
5th value = 3
6th value = 5
Median = $\frac{3 + 5}{2} = \frac{8}{2} = 4$
Mode Determination
The mode is the value that appears most frequently in the data set.
Count the frequency of each number:
- 2 appears 2 times
- 3 appears 3 times
- 5 appears 2 times
- 7 appears 2 times
- 9 appears 1 time
The number 3 appears most often (3 times).
Therefore, the Mode = 3.
Results Summary
The calculated Median is 4.
The calculated Mode is 3.
The final answer is Median = 4 and Mode = 3.
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:
- 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.
$9, 35, 20, 25, 25, 15, 25$ - 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?
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.
