📊 statistics

1. **Problem Statement:** We have a scatter diagram showing scores of 10 students in Maths (x-axis) and English (y-axis) exams.

1. **Stating the problem:** We are asked to identify the type of correlation shown in three scatter diagrams (A, B, and C). 2. **Understanding correlation types:**

1. The problem asks to find the particular value $y$ corresponding to a given z-score $z = -2.237$, with a standard deviation $sd = 5.43$ and mean $\mu = 24$. 2. The formula to fin

1. The problem asks to find the particular value $y$ corresponding to a given z-score $z = -2.237$, with standard deviation $sd = 5.43$ and mean $\mu = 24$. 2. The formula to find

1. The problem asks to find the particular value $y$ corresponding to a given z-score $z = -2.237$, with a standard deviation $sd = 5.43$ and mean $\mu = 24$. 2. The formula to fin

1. **Stating the problem:** We have three groups with an independent variable (IV) having three levels: (1) watch TV, (2) read books, and (3) meet with friends.

1. The problem is to understand and calculate the standard deviation from a given data set or distribution. 2. Standard deviation measures the amount of variation or dispersion in

1. **Problem 1: Calculate the mean, range, and standard deviation for ABC University data** Given data: $120, 110, 100, 200, 10, 90, 100, 100$

1. **Problem Statement:** We want to find a regression equation that predicts server response time (ms) based on CPU usage percentage. 2. **Data Given:**

1. **Problem Statement:** We want to determine if server type (A, B, C), region (North, South), and their interaction significantly affect response time.

1. **Problem Statement:** Analyze the factorial experiment data for yield based on pressure and temperature with three levels each and two replicates. 2. **Formula and Rules:** Use

1. The problem involves analyzing an ANOVA table to understand the variance between and within groups. 2. ANOVA (Analysis of Variance) tests whether there are statistically signifi

1. **Problem Statement:** Analyze the factorial experiment data for yield based on pressure and temperature with three levels each and two replicates. 2. **Method:** Use two-factor

1. **Problem Statement:** We have a distribution of the number of toy cars owned by children with frequencies depending on $n$, a positive integer:

1. **State the problem:** We have a distribution of the number of toy cars owned by children with frequencies depending on $n$, a positive integer. The table is: | Number of toy ca

1. **State the problem:** We want to test if there is a difference in the proportions of men and women who never thought about leaving their spouses. 2. **Define the proportions:**

1. The problem asks to find the coefficient of determination and the coefficient of nondetermination given the correlation coefficient $r=0.57$. 2. The coefficient of determination

1. The problem asks to identify the type of variable that is predicted in a data set. 2. The variable to be predicted, or the y-value, is called the **response variable**. This is

1. **Problem Statement:** The school wants to analyze learners' performance based on the histogram data showing learners' scores and frequencies.

1. **Problem Statement:** Given the mode and mean of a data set as $15x$ and $18x$ respectively, find the median of the data. 2. **Formula Used:** For moderately skewed data, the e

1. **Problem statement:** Find the 70th percentile of the distribution of the average of 49 fly balls. 2. **Given:** The sample size $n=49$.