12, 10, 16, 18, 20, 26, 14, 28
Calculate Mean and Median Sum
To determine the sum of the mean and median for the given dataset, we first need to calculate each value individually.
Calculate Data Mean
The mean is calculated by summing all the numbers in the dataset and dividing by the total count of numbers.
The dataset is: 12, 10, 16, 18, 20, 26, 14, 28.
First, find the sum of all the numbers:
$ \sum x_i = 12 + 10 + 16 + 18 + 20 + 26 + 14 + 28 = 144 $
There are 8 numbers in the dataset ($n=8$). Calculate the mean:
$ \text{Mean} = \frac{\sum x_i}{n} = \frac{144}{8} = 18 $
Calculate Data Median
The median is the middle value of a dataset when it is sorted in ascending order. For a dataset with an even number of observations, the median is the average of the two middle numbers.
Sort the dataset: 10, 12, 14, 16, 18, 20, 26, 28.
Since there are 8 numbers ($n=8$), the two middle numbers are the 4th and 5th values, which are 16 and 18.
Calculate the median:
$ \text{Median} = \frac{16 + 18}{2} = \frac{34}{2} = 17 $
Find Sum of Mean and Median
Finally, add the calculated mean and median to find the required sum.
$ \text{Sum} = \text{Mean} + \text{Median} = 18 + 17 = 35 $
Similar Questions
- 40 % is the passing criteria in an examination. Out of 9 students who appeared, 4 failed and the remaining received 80 %, 55 %, 52 %, 66 % and 81% marks. The median of the percentage marks is equal to:
- Find the median and the mode of the following data:
2, 3, 5, 7, 2, 3, 3, 5, 7 and 9. - 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: - The marks scored by 10 students are given below.
18, 13, 14, 14, 19, 14, 17, 17, 14, 20
The mode of the data is: - 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 - 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:
Important Questions from Elementary Statistics
Demand for seats in a university is at its highest in the fall; demand also trends to grow and fall off in 25 year waves. In time service forecasting, the former demand characteristic would be called ______ and the latter would be called _______.
The system of combining two or more overlapping series of index numbers to obtain a single continuous series is called
The rise in the number of patients due to heatstroke is an example of:
According to government data, 24 percent of teenagers in India under the age of 18 years live in households with incomes that are classified at a particular income level. A simple random sample of 400 teenagers in India under the age of 18 years was selected for a study of learning. If the government data is correct, which of the following best approximates the probability that at least 27 per cent of the teenagers in the sample live in households that are classified at a particular income level?
Which index satisfies the factor reversal test?
