In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50 kg. If the mean weight of all the students taken together is 60 kg, then the ratio of the number of boys so that of girls is

Let the number of boys be $n_1$ and that of girls be $n_2$ , then $60 = \frac{80n_{1} + 50n_{2}}{n_{1}+n_{2}} $ $\Rightarrow 60n_{1} + 60n_{2} = 80n_{1}+50n_{2}$ $ \Rightarrow 10n_{2}= 20n_{1} \Rightarrow n_{1} : n_{2} : : 1 :2$

In a group of students, mean weight of boys is 80

Notes on Statistics

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.