📊 statistics

1. The mode of a data set is the value that appears most frequently. 2. To find the mode, list all values and count how many times each occurs.

1. The problem is to find the mode of a given data set. 2. The mode is the value that appears most frequently in a data set.

1. **State the problem:** We need to find the mean (average) age of the youngest leaders given the ages: 33, 37, 37, 39, 39, 41, 43, 43, 44, 45. 2. **Formula for mean:** The mean i

1. **Problem Statement:** Calculate the mean, median, and mode for the respondents' Weight, Serum cholesterol, IQ, and Sodium. 2. **Formulas and Rules:**

1. **State the problem:** We are given the probability statement $$P(0.2 - a < \hat{P}_1 - \hat{P}_2 < 0.2 + a) = 0.1551$$ where $$P_1 = 0.25$$, $$P_2 = 0.2$$, $$n_1 = 5$$, and $$n

1. **State the problem:** We have scores and corresponding number of students: Scores = $54, 64, 74, 84, 94, 104, 114$ and Number of students = $y, 3, 5, 7, 3, 2y, y-1$. The averag

1. **Problem Statement:** We want to test if the distributions of access to basic water services in rural and urban areas are the same. 2. **Null Hypothesis ($H_0$):** The distribu

1. **State the problem:** We want to test if the average access to basic water services is equal between rural and urban areas. 2. **Given:**

1. **State the problem:** We are testing hypotheses about the average access to basic water services in rural vs. urban areas. 2. **Hypotheses:**

1. The problem asks to identify the statement that best represents a null hypothesis. 2. A null hypothesis typically states that there is no effect or no difference between groups

1. The problem asks us to determine which statement about the correlation coefficients between average access to basic water services and Annual Rates of Change (ARC) in rural and

1. The problem asks us to evaluate the appropriateness of a polynomial trend line fitted to data points representing average access to basic water services (%) versus ARC (%). 2. A

1. **Problem statement:** We want to assess the accuracy of predicted values for national average access to basic water services based on Annual Rates of Change (ARC) using the giv

1. The problem asks whether the expected correlation coefficient between ARC (%) and average access to basic water services is closer to +0.5 than to -1 based on the scatter plot d

1. **Problem Statement:** We have scores of 10 students in Mathematics (x) and Science (y). We need to find:

1. **Problem Statement:** We have data of 10 students' scores in Mathematics (x) and Science (y). We want to analyze the relationship between these two variables. 2. **Goal:** Find

1. Let's start by stating the problem: We need to find the exact value of the regression line given a set of data points. 2. The regression line is typically expressed as $$y = mx

1. **Problem Statement:** We have scores of 10 students in Mathematics (x) and Science (y). We need to plot the scatter graph, find the mean point M, find the regression line equat

1. **Problem statement:** We have two groups: asthmatic children with mean maximal nitric oxide diffusion rate $\bar{x}_1 = 3.5$ nL/s and standard error of the mean (SEM) $SE_1 = 0

1. **Problem statement:** We have a sample of 9 subjects with ACL tears. The mean laxity is 17.4 mm and the standard deviation is 4.3 mm. We need to find: (a) The estimated standar

1. **State the problem:** We have a sample of 10 interns with the number of breast exams performed: 30, 40, 8, 20, 26, 35, 35, 20, 25, 20. We want to construct a 95% confidence int