$9, 35, 20, 25, 25, 15, 25$
Data Statistics Calculation
The given data is: $9, 35, 20, 25, 25, 15, 25$.
We need to find the sum of the mean, median, and mode of this dataset.
Calculating the Mean
The mean is the average of the numbers.
- Sum the data values: $9 + 35 + 20 + 25 + 25 + 15 + 25 = 154$
- Count the number of observations: There are 7 values.
- Calculate the mean: Mean = $\frac{\text{Sum of values}}{\text{Number of values}}$ = $\frac{154}{7}$ = $22$
Calculating the Median
The median is the middle value after sorting the data.
- Sort the data in ascending order: $9, 15, 20, 25, 25, 25, 35$
- Identify the middle value: Since there are 7 observations (an odd number), the median is the $\frac{(7+1)}{2} = 4^{th}$ value.
- The median is: $25$
Calculating the Mode
The mode is the value that appears most frequently in the data.
- Count the frequency of each value:
- 9: 1 time
- 15: 1 time
- 20: 1 time
- 25: 3 times
- 35: 1 time
- Identify the most frequent value: The number 25 appears most often (3 times).
- The mode is: $25$
Sum of Mean, Median, and Mode
Add the calculated mean, median, and mode:
Sum = Mean + Median + Mode
Sum = $22 + 25 + 25 = 72$
Similar Questions
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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:
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- Which of the following CANNOT take a negative value?
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80, 90, 40, 30, 20, 10, 70, 60, 50 - Find the mean height of persons from the following data.
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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?
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
