Maths-

General

Easy

Question

# The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6. Then the other two are

- 2 and 9
- 3 and 8
- 4 and 7
- 5 and 6

Hint:

### A fact or figure we gather regarding a certain variable is called an observation. It can be quantified or described as a quality. The observation "25" for a mother's age during the birth of her first kid is an example of a number. Here we have given the mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6 then we have to find the rest 2.

## The correct answer is: 4 and 7

### The mean is calculated by dividing the total number of observations by the sum of all the observations.

The median represents the "middle" value among the observations. Your observations must be sorted in either ascending or descending order in order to calculate the median.

Mode: The importance of observation is what happens most frequently. If an observation is not repeated, a mode for the list cannot exist.

In probability and statistics, variance is the expected value of the squared variation of a random variable from its mean value. Informally, variance calculates the degree to which a random group of numbers deviates from the mean value.

Here the number of observations is 5. The mean of five observations is 4 and their variance is 5.2. Let the 2 observations be a and b.

Using the variance formula, we get:

Here we used the concept of variance to solve this question. Using mean we found the final answer. Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation. So the two numbers are 4 and 7.

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### When 10 is subtracted from all the observations, the mean is reduced to 60% of its value. If 5 is added to all the observations, then the mean will be

Hence, the new mean is 30.

### When 10 is subtracted from all the observations, the mean is reduced to 60% of its value. If 5 is added to all the observations, then the mean will be

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Hence, the new mean is 30.

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### If mean deviation through median is 15 and median is 450, then coefficient of mean deviation is

Hence, the coefficient of Mean Deviation is 1/30.

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Hence, the coefficient of Mean Deviation is 1/30.

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### 2k-mol of an ideal diatomic gas is enclosed in a vertical cylinder fitted with a piston and spring as shown in the figure. Initially the spring is compressed by 5 cm and then the electric heater starts supplying energy to the gas at constant rate of 100 J/S and due to conduction through walls of cylinder and radiation, 20 J/S has been lost to surroundings ( Take K=1000 N/m, atomospheric pressure, , cross section area of piston , mass of piston m=1 kg R=8.3kj mol k) Answer the given question based on this information.

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The initial pressure of the gas is

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