📊 statistics

1. The problem is to understand the concept of "échantillonnage" (sampling) in statistics. 2. Sampling is the process of selecting a subset (sample) from a larger set (population)

1. **Problem:** Find the standard deviation of the data set: 20, 25, 30, 36, 32, 43. 2. **Formula:** The standard deviation $\sigma$ for a sample is given by:

1. **State the problem:** We need to find the Median (Md), the first quartile (Q1), and the 43rd percentile (P43) for the data set: 60, 70, 50, 80, 90, 100, 110. 2. **Sort the data

1. **State the problem:** We need to find the Median (Md), the first quartile (Q1), and the 43rd percentile (P43) for the data set: 60, 70, 50, 80, 90, 100, 110. 2. **Sort the data

1. **Problem Statement:** Find the mean, median, and mode of the data set: 5, 9, 12, 4, 5, 14, 19, 16, 3, 5, 7. 2. **Mean:** The mean is the average of all numbers. Use the formula

1. **Problem:** Work out the mean, median and mode for the data: 5, 9, 12, 4, 5, 14, 19, 16, 3, 5, 7. 2. **Mean formula:** $$\text{Mean} = \frac{\text{Sum of all data values}}{\tex

1. **Stating the problem:** We have an incomplete frequency distribution table of marks and the total number of students is 50. The mean of the distribution is given as 30.2. | Mar

1. The problem states that the mean is 30.2. 2. The mean (or average) of a set of numbers is calculated by summing all the values and dividing by the number of values.

1. **Stating the problem:** We have an incomplete frequency distribution table of marks and number of students. We need to find the missing frequencies. 2. **Given data:**

1. **Problem Statement:** We have a frequency distribution of annual commission earnings (in thousands) for 150 salespeople. We want to find the proportion of salespeople earning l

1. **Problem Statement:** We are given a frequency distribution with class intervals and frequencies. We need to: a) Compute the frequency density for each class.

1. **Problem Statement:** We have a frequency distribution of annual commission earnings (in thousands) for 150 salespeople. We want to find the proportion of salespeople earning l

1. **Problem Statement:** We have a frequency distribution of annual commission earnings (in thousands) for 150 salespeople. We want to construct an ogive (cumulative frequency gra

1. **Problem statement:** Given the expectations: $$E(y_1)=\beta_1+\beta_2+\beta_3$$

1. **Problem Statement:** We have a sample of 15 waiting times in minutes: 1.38, 2.34, 3.02, 3.20, 3.54, 3.79, 4.21, 4.50, 4.77, 5, 5.13, 5.35, 5.55, 6.10, 6.19. We need to constru

1. **Problem Statement:** We have a sample of 15 waiting times in minutes: 1.38, 2.34, 3.02, 3.20, 3.54, 3.79, 4.21, 4.50, 4.77, 5, 5.13, 5.35, 5.55, 6.10, 6.19. We need to constru

1. **Problem:** Find the area under the standard normal curve for z between 1.03 and 2.79. 2. **Formula:** The area between two z-values $z_1$ and $z_2$ is given by $P(z_1 < Z < z_

1. **Problem Statement:** Calculate the variance of profit data given in class intervals with frequencies. 2. **Understanding the Data:** We have profit intervals (0-10, 10-20, etc

1. **Problem statement:** Given a binomial distribution with mean $\mu = 4$ and variance $\sigma^2 = \frac{4}{3}$, find the probability $P(X > 1)$. 2. **Recall formulas for binomia

1. **Problem Statement:** Calculate the median of grouped data using the formula and understand its components. 2. **Formula for Median of Grouped Data:**

1. Muammo: Berilgan statistik ma'lumotlar asosida tanlanma o'rtacha qiymat $X_T$, dispersiya $D_T$ va standart og'ish $C3$ ni hisoblash. 2. Formulalar va qoidalar: