The variance of 50 observations is 7. Suppose that each observation in this data is multiplied by 6 and then 5 is subtracted from it. Then the variance of that new data is
The variance of 50 observations is 7. Suppose that each observation in this data is multiplied by 6 and then 5 is subtracted from it. Then the variance of that new data is
37
42
247
252
The Correct Option is D
Solution and Explanation
The correct option (D) 252
Top Questions on Statistics
- Calculate the mean of the following data :
Class : 4 – 6 7 – 9 10 – 12 13 – 15 Frequency : 5 4 9 10 - For the above distribution, the modal class is :
Marks : Below 10 Below 20 Below 30 Below 40 Below 50 Number of Students : 3 12 27 57 75 - The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is:
- If a certain variable \(x\) divides a statistical data arranged in order into two equal parts; then the value of \(x\) is called the:
- Gurpreet is very fond of doing research on plants. She collected some leaves from different plants and measured their lengths in mm.
The length of the leaves from different plants are recorded in the following table.Based on the above information, answer the following questions :\(\text{Length (in mm)}\) 70-80 80-90 90-100 100-110 110-120 120-130 130-140 \(\text{Number of leaves}\) 3 5 9 12 5 4 2
Questions Asked in TS EAMCET exam
The ratio of the radii of two solid spheres of same mass in 2:3. The ratio of the moments of inertia of the spheres about their diameters is:
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If (-c, c) is the set of all values of x for which the expansion is (7 - 5x)-2/3 is valid, then 5c + 7 =
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- Algebra of Complex Numbers
The general solution of the differential equation (x2 + 2)dy +2xydx = ex(x2+2)dx is
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- Differential equations
If i=√-1 then
\[Arg\left[ \frac{(1+i)^{2025}}{1+i^{2022}} \right] =\]- TS EAMCET - 2023
- Trigonometric Identities
If nCr denotes the number of combinations of n distinct things taken r at a time, then the domain of the function g (x)= (16-x)C(2x-1) is
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- permutations and combinations
Concepts Used:
Statistics
Statistics is a field of mathematics concerned with the study of data collection, data analysis, data interpretation, data presentation, and data organization. Statistics is mainly used to acquire a better understanding of data and to focus on specific applications. Also, Statistics is the process of gathering, assessing, and summarising data in a mathematical form.
Mathematically there are two approaches for analyzing data in statistics that are widely used:
Descriptive Statistics -
Using measures of central tendency and measures of dispersion, the descriptive technique of statistics is utilized to describe the data collected and summarise the data and its attributes.
Inferential Statistics -
This statistical strategy is utilized to produce conclusions from data. Inferential statistics rely on statistical tests on samples to make inferences, and it does so by discovering variations between the two groups. The p-value is calculated and differentiated to the probability of chance() = 0.05. If the p-value is less than or equivalent to, the p-value is considered statistically significant.