📊 statistics

1. **State the problem:** We are given a data set with a mean $\mu = 68$ and a standard deviation $\sigma = 4$. We need to find the z-value for the data point $x = 65$. 2. **Formul

1. نبدأ بقراءة السؤال: إذا كان عدد الإناث غير السعوديات 1.6 مليون، نريد إيجاد عدد الرجال غير السعوديين بالمليون. 2. من الرسم البياني المعطى، نلاحظ أن ارتفاع العمود الخاص بـ "نساء غ

1. The problem is to find the mean (average) of the numbers 0.4, 0.342, 0.27, 0.1, and 0.583. 2. The formula for the mean of a set of numbers $x_1, x_2, \ldots, x_n$ is:

1. **Problem Statement:** Calculate the average ($\bar{x}$) and range ($R$) for each subgroup, then compute the overall mean ($\bar{x}$) and average range ($\bar{R}$), and finally

1. **Stating the problem:** We are asked to find the average (mean) of the variable "Kepuasan Kerja Karyawan" (Employee Job Satisfaction) from the given data.

1. **Problem Statement:** We want to prove the least squares estimates for a model with one categorical variable having $J$ levels. 2. **Objective Function:** The sum of squared re

1. The problem asks to record the number of times a spinner lands on each color after 20 spins, excluding spins that land on a line (which require a re-spin). 2. Since the spinner

1. **Problem Statement:** We are given a frequency distribution of hours of television watched per week by 340 students. The goal is to construct and label a frequency histogram ba

1. The problem involves calculating sums related to a dataset: specifically, \(\sum X^2 - \sum X\), \(\sum (x - \text{mean})\), and \(\sum (x - \text{mean})^2\). 2. First, understa

1. **State the problem:** We are given the data set: 32, 32, 26, 32, 23, 29, 25, 22, 32. We need to find the sample standard deviation to the nearest thousandth. 2. **Recall the fo

1. Problem statement: We need to find the median of a given series, which is the middle value when the data is arranged in ascending order. 2. Formula and explanation: The median d

1. Muammo: Maktabdagi sportga qatnashmaydigan qiz bolalarning foizini topish. 2. Ma'lumotlar:

1. **Problem statement:** Given a normal distribution of weights for 500 high school students with mean $\mu=62$ kg and standard deviation $\sigma=4$ kg, find the probability that

1. The problem asks to predict the final grade based on a class project score of 76% using the trendline equation from the right graph. 2. The trendline equation relating final gra

1. **Problem Statement:** Given the data points \((x, y)\) as \((8, 162.4), (10, 142.2), (2, 193.5), (11, 133.2), (17, 106.8), (20, 83.6), (9, 155.1), (15, 114.5), (4, 177.8)\), we

1. **Problem Statement:** A nutrition scientist believes the mean sodium level in a soup brand is higher than the national average of 620 mg. Given population standard deviation $\

1. **State the problem:** A sociologist wants to test if the distribution of preferred study methods among college students is equally likely using a Chi-square Goodness of Fit tes

1. نبدأ بتحديد المشكلة: لدينا مجموعة من البيانات وهي 19، 13، 5، 12، 8، 20، 13. 2. المطلوب هو حساب قيمة المدى لهذه البيانات.

1. The problem is to create a line graph showing the number of students in grades 7 to 10. 2. The categories (grades) are 7, 8, 9, and 10, and the frequencies (number of students)

1. **Stating the problem:** We have a data set with values and are told there are 7 clusters (classes) with a class interval of 10. 2. **Finding the limits of the lowest cluster:**

1. The problem is to create a stem-and-leaf plot for the given data set: 94, 86, 80, 78, 76, 76, 72, 72, 71, 71, 68, 68, 68, 68, 67, 67, 67, 66, 66, 65, 65, 64, 64, 63, 62, 61, 61,