📊 statistics

1. **المسألة:** حساب المدى للتوزيع. - المدى = الحد الأعلى - الحد الأدنى

1. Problem: Correct the false statements related to regression analysis and justify the corrections. 2. Statement 1: "In case of heteroscedasticity, it is recommended to use the fo

1. The problem asks to identify the independent and dependent variables, determine the strength of the relationship, and discuss the results. 2. **Independent variable**: This is t

1. **State the problem:** We are given the data set: 90.496, 89.554, 91.393, 86.198, 90.139, 90.496, 86.198, 89.554, 86.198. We need to calculate the mean, median, and mode of this

1. **State the problem:** We are given the data set: 59, 44, 45, 56, 52, 58, 56, 65, 50, 45. We need to calculate the mean, median, and mode. 2. **Mean:** The mean is the average o

1. **State the problem:** Calculate the mean of the data set: 45, 54, 55, 58, 53, 54, 54, 55, 49. 2. **Formula for mean:** The mean (average) is calculated by summing all the numbe

1. **State the problem:** We are given the dataset $\{51, 39, 43, 46, 53, 63, 35, 57, 61, 22\}$ and need to calculate the mean, median, and mode. 2. **Mean formula:** The mean (ave

1. **Problem:** Identify the population, sample, variable under study, and parameter of interest in the farmer's wheat production estimation. 2. **Step 1: Define the terms**

1. **Problem statement:** We are given that the average rainfall per season is 35 inches with a standard deviation of 4 inches. We want to find the probability that next year the r

1. **Problem statement:** We are given a mean systolic blood pressure $\mu = 128$ and a standard deviation $\sigma = 9$. We want to find the probability that a randomly selected pe

1. **Problem Statement:** Calculate the mean, median, and mode of the data set: 34, 33, 32, 31, 40, 39, 45, 32, 30, 32. 2. **Mean:** The mean is the average of all numbers. Formula

1. The problem is to find the mean (average) of the numbers: 34, 33, 32, 31, 40, 39, 45, 32, 30, 32. 2. The formula for the mean of a set of numbers is:

1. **பிரச்சினையை விளக்குதல்:** 100 மாணவர்களின் கணிதப் புள்ளிகள் தரப்பட்டுள்ளன. முதலில் (70-77) என்ற வகுப்பாயிடையின் மீன்றன் பரம்பலுக்கான அட்டவணையை உருவாக்க வேண்டும்.

1. Problem 5: Find the probability that exactly 4 out of 6 telephones are busy, given the probability of a telephone being busy is $p=\frac{1}{10}=0.1$. 2. Use the binomial probabi

1. **Problem Statement:** We have two groups of workers with given means and standard deviations of their monthly wages. We need to find the standard deviation of the combined grou

1. **State the problem:** We want to test if the average time spent on the company's website per session is significantly different from the industry average of 5 minutes. 2. **Set

1. **State the problem:** Calculate the value of the expression:

1. **Problem Statement:** A bus arrives following a normal distribution with mean 8:55 AM and standard deviation 5 minutes. We want to find the probability the bus arrives earlier

1. **Problem Statement:** Forecast the number of participating households for May 2024 using various methods based on data from July 2023 to April 2024. 2. **Given Data:**

1. The problem involves testing a hypothesis with a significance level of 5% and determining the critical values for the test. 2. At a 5% significance level, the critical region is

1. **Problem statement:** Bilbo wants to test at the 5% significance level which number of transactions starting with digit 1 would be suspicious, given that the expected proportio