📊 statistics

1. **Problem Statement:** Calculate the mean, median, mode, and standard deviation for the number of modules presented by 50 students based on the given frequency distribution. 2.

1. **Problem Statement:** We are given data of tourists visiting various provinces in Thailand from November 1 to November 7, 2567 (Buddhist calendar year). The task is to create a

1. **Problem statement:** We have a binomial random variable $X \sim \text{Binomial}(n=5, p=0.55)$ representing the number of cancer patients (out of 5) with WBC < 3000. 2. We want

1. **Problem Statement:** Calculate the average time spent to complete the exam, the range time used by the 1/4 fastest students, and the mean deviation about the mean for the give

1. The problem asks for the highest total score from two games of bowling, given points on a scatter plot. 2. Each point represents a player's scores: the x-coordinate is Game 1 sc

1. **Énoncé du problème :** Un chercheur veut constituer un échantillon représentatif de 300 étudiants répartis en 7 strates (établissements). On doit calculer le nombre d'individu

1. The problem asks to find the probability $P(Z < -2.48)$ where $Z$ is a standard normal random variable. 2. The standard normal distribution is symmetric about zero, and probabil

1. **Problem Statement:** Find the probability that a randomly selected gas tank holds at least 16.5 gallons, given the tank capacity is normally distributed with mean $\mu=14$ gal

1. **State the problem:** We have class intervals 0-20, 20-40, 40-60, 60-80, 80-100, 100-120 with frequencies 5, $x$, 10, missing, 7, 8 respectively. The mean is given as 62.8. We

1. **Stating the problem:** We have a discrete probability distribution with values $x$, probabilities $P(x)$, and related calculations including mean $\mu$, sample mean $\bar{X}$,

1. **State the problem:** We have class intervals and their frequencies with some missing values. The mean is given as 62.8. We need to find the missing frequencies using the step

1. **Stating the problem:** We are given probability distributions and asked to find missing probabilities and means (expected values) for two distributions, and then to find the v

1. **State the problem:** We have a pie chart with three categories. One category covers a sector angle of 120 degrees. We want to find what percentage this category represents of

1. **State the problem:** We need to find the range of the dataset: 15, 22, 8, 17, 30. 2. **Formula for range:** The range of a dataset is given by the difference between the maxim

1. **Problem Statement:** We are given a set of quoted interest rates (%) of bonds reported by the National Bank of Rwanda in 2018: 2.94, 4.25, 3.55, 1.90, 2.05, 1.78, 2.90, 1.85,

1. **Problem Statement:** We have scores of 28 pupils and need to group them into 5 class intervals, then find the frequency distribution, mean, median, and mode. 2. **Step 1: Find

1. The problem asks for the value of the $r^{th}$ moment about the mean for given parameters $\bar{x}$ (sample mean), $\mu$ (population mean), and $\sigma$ (standard deviation). 2.

1. The first question asks about the Normal Ordinate, which is the value of the normal distribution's probability density function (PDF) at the mean (usually 0 for standard normal)

1. **Problem Statement:** What percentage of students spend less than 2.5 hours per day on social media?

1. **State the problem:** We need to find the best representation of Hillary's typical heart rate after working out given the data: 137, 138, 137, 134, 82, 131, and 125 beats per m

1. **State the problem:** We need to find the best representation of Hillary's typical heart rate after working out given the data: 137, 138, 137, 134, 82, 131, and 125 beats per m