📊 statistics

1. **Problem Statement:** We are given a list of times (in minutes) taken by people to solve a puzzle: 8, 7, 20, 24, 10, 15, 14, 10, 8, 16, 12, 24, 29. 2. **What is a Stem-and-Leaf

1. **State the problem:** We are given a list of times in minutes: 8, 7, 20, 24, 10, 15, 14, 10, 8, 16, 12, 24, 29. 2. **What is a stem-and-leaf diagram?** It is a way to organize

1. **State the problem:** We have a survey of 300 students about their movie-going frequency and genre preference. We want to find: (a) The percentage of students who go to the mov

1. The problem asks for the mode of the data, which is the category with the highest percentage of customers. 2. From the data given:

1. **Stating the problem:** We have a random variable $X$ representing the number of customers who order takeout in a day at a café. The values of $X$ are $0, 1, 2, 3,$ and $4$ or

1. **State the problem:** We want to test if the mean length of novels written by the club members is greater than 50,000 words at a significance level $\alpha = 0.10$. 2. **Set hy

1. **نص المشكلة:** لدينا توزيع تكراري للأجور الأسبوعية لعدد 30 عاملاً موزعة على فئات الأجور مع تكراراتها. 2. **البيانات:**

1. **Problem:** A new student with a test score of 8 joins a group whose mean score is 344 and median score is 335. We need to find the new mean and median positions (lines A, B, C

1. **State the problem:** We have a population of 8 cards numbered 1 to 8. We draw samples of size 3 without replacement and want to find the sampling distribution of the sample me

1. The Wishart distribution is a probability distribution that generalizes the chi-squared distribution to multiple dimensions. 2. It is used to describe the distribution of sample

1. **State the problem:** We have 30 people: 20 men and 10 women. Men's mean weight $\mu_m = 65$ kg, variance $\sigma_m^2 = 56.25$ kg$^2$.

1. The problem asks for the mean (average) of the temperatures given: -9, -5, 0, 1, and -2 degrees Celsius. 2. The formula for the mean of a set of numbers is:

1. **State the problem:** We need to find the mean number of emails sent on days beginning with the letter S or T. 2. **Identify the days:** Days starting with S are Saturday and S

1. **State the problem:** We want to understand how weather variables (temperature $X_1$, humidity $X_2$, rainfall $X_3$) affect household electricity consumption $Y$ using a regre

1. **Problem Statement:** We have weights of 40 students rounded to the nearest kg. We need to:

1. **Problem Statement:** We have the ages of 20 teachers: 23, 20, 24, 26, 29, 39, 35, 37, 39, 25, 24, 20, 28, 30, 34, 39, 45, 54, 58. We need to create a frequency distribution ta

1. **Problem Statement:** We have the ages of 20 teachers: 23, 20, 24, 26, 29, 39, 35, 37, 39, 40, 25, 24, 20, 28, 30, 34, 39, 45, 54, 58. We need to create a frequency distributio

1. **State the problem:** We have data points representing the number of holes moths ate in Grandma Marion's dresses: $7,8,8,5,7,8$. We need to create a frequency table showing how

1. **State the problem:** We have data points representing the number of holes moths ate in Grandma Marion's dresses: $7,8,8,5,7,8$. We need to create a frequency table showing how

1. **State the problem:** We have data on the number of times 8 students were suspended: 4, 7, 6, 5, 4, 7, 5, 5. 2. **Goal:** Create a frequency table showing how many students wer

1. **State the problem:** We have data on the number of times 8 students have been suspended: 4, 7, 6, 5, 4, 7, 5, 5. 2. **Goal:** Create a frequency table showing how many student