📊 statistics

1. **State the problem:** We want to find the probability of having at most 2 defective items in a batch of 50, where each item has a 5% defect rate. This means we want $P(X \leq 2

1. **State the problem:** We have daily website traffic data (in thousands) for two sections over a week: - Politics: $\{25, 30, 22, 28, 27, 26, 29\}$

1. The problem states that the mode is 400 and the median is 500, and we need to find the mean. 2. For a moderately symmetric distribution, the empirical relationship between mean,

1. The problem is to calculate the mean (average) of the given cells: A1=70, A2=40, A3=71, A4=74, A5=85. 2. The formula for the mean of $n$ numbers $x_1, x_2, \ldots, x_n$ is:

1. **State the problem:** We are given class intervals and their corresponding frequencies, and we need to find the median of the data. 2. **List the data:**

1. The problem is to understand the concept of a class interval in statistics. 2. A class interval is a range of values used to group data points in a frequency distribution.

1. ปัญหาคือหาความน่าจะเป็นที่ตัวแปรสุ่ม $X$ ซึ่งมีการแจกแจงปกติด้วยค่าเฉลี่ย $\mu=200$ และส่วนเบี่ยงเบนมาตรฐาน $\sigma=50$ จะอยู่ในช่วง $[100,300]$\n\n2. ขั้นแรกแปลงช่วง $[100,300]

1. **State the problem:** We are given data on birthrate $x$ (number of births per 1000 population) and female life expectancy $y$ (in years), along with the product $xy$. We want

1. **State the problem:** We want to find the number of new mobile phone subscribers by 2025 for all regions excluding APAC and MENA, assuming current growth rates continue. 2. **I

1. ปัญหาคือการหาค่าเดไซล์ที่ 7 (D7) ของชุดข้อมูล 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 2. เดไซล์ที่ 7 หมายถึงตำแหน่งที่ 70% ของข้อมูลเมื่อเรียงลำดับจากน้อยไปมาก

1. ปัญหาคือการหาค่าควอร์ไทล์ที่ 3 (Q3) ของชุดข้อมูล 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 2. ค่าควอร์ไทล์ที่ 3 คือค่าที่แบ่งข้อมูลออกเป็น 75% ด้านล่างและ 25% ด้านบน

1. **Stating the problem:** We have data of 10 TNI soldiers with their monthly income (Pendapatan) and consumption (Konsumsi) in million rupiahs. We want to analyze the relationshi

1. **State the problem:** We have the number of mobile phones sold in 30 shops and need to construct a frequency distribution table with class intervals, draw histogram, frequency

1. **State the problem:** We have hourly rates of 10 high schoolers' part-time jobs and need to find mean, median, and mode for the original data and then after removing the high s

1. **Problem 1 (a) and (b):** Given the bar chart with classes and number of students:

1. **State the problem:** We have timing belt lifespans with some censored data (8+ means the belt lasted at least 8 years but exact failure time is unknown). 2. **Data given:** Li

1. **Problem Statement:** We are given a set of data with grouped frequency distribution and some calculations for variance and standard deviation. We need to verify the calculatio

1. **State the problem:** We are given monthly data for a stock including Volume, Traded Value, Trades, and Closing Price for 10 months. We need to answer 6 quantitative questions

1. **Find the range, sample standard deviation, and variance of Jose's correct answers on 8 worksheets.** Given data: Correct answers = $\{4,8,6,5,2,15,9,7\}$

1. **Problem statement:** We have a normally distributed variable $X$ representing the number of days per year with sulfur dioxide emissions above the legal limit. The mean is $\mu

1. **Problem Statement:** Calculate the mean, median, mode, variance, and standard deviation for the given frequency distribution of passengers (in millions) handled by 20 airports