📊 statistics

1. **State the problem:** We have ACT and SAT scores for 8 students and want to analyze the relationship between these scores using a scatter plot, find the line of best fit, and m

1. The problem asks which cells are used to calculate SSA in a 2x3 ANOVA design, specifically whether SSA corresponds to rows or columns. 2. In a two-way ANOVA, SSA represents the

1. **State the problem:** We are given the number of students who scored at least certain percentages and need to find how many scored at least 80% but less than 90%. 2. **Given da

1. The variance assumption in the residual plot (Residuals vs Fitted) is checked by looking for a random scatter of points with no clear pattern or funnel shape. Here, if the resid

1. **Problem statement:** Given the frequency table of fish caught: Number of fish: 0, 1, 2, 3, 4, 5, 6

1. **Stating the problem:** You have recorded the number of hours spent on various activities in a day and want to construct a probability distribution from this data. Then, you ne

1. **State the problem:** We have a set of homework marks: 5, 6, 7, 8 with frequencies 1, 3, 1, and 5 respectively.

1. **State the problem:** We need to find the mean (average) of the given pre-test scores: 26, 25, 31, 23, 22, 19, 21, 27, 18, 25, 27, 28, 24, 28, 23, 21, 29, 28, 28, 21, 18. 2. **

1. **State the problem:** Find the mean (average) of the given pre-test scores: 26, 25, 31, 23, 22, 19, 21, 27, 18, 25, 27, 28, 24, 28, 23, 21, 29, 28, 28, 21, 18. 2. **Formula for

1. **Problem Statement:** We need to allocate 52 Professional Counsellors (PCs) across 9 districts in Copperbelt based on the TX_CURR values, with Kitwe and Ndola having more PCs d

1. The problem is to analyze the students' scores from Katwatwa Primary across three terms. 2. We can calculate the average score for each student who has scores in all three terms

1. **Problem Statement:** Organize the students into a chart by sex (male/female) and score ranges (0-25, 26-50, 51-75, 76-100), including those without scores as "absent". 2. **Ap

1. **Problem Statement:** Organize the Term Two scores by gender into the ranges 0-25, 26-50, 51-75, and 76-100. Indicate absent students (no score) separately. 2. **Data Extractio

1. **Problem statement:** We have candy bar weights normally distributed with mean $\mu=8.3$ ounces and standard deviation $\sigma=0.125$ ounces.

1. **Problem A: Find scores based on standard deviations from the mean** Given: mean $\mu = 58.4$, standard deviation $\sigma = 7.6$.

1. The problem is to arrange the given ages at death of 50 persons into a frequency distribution with 10 class intervals. 2. First, find the range of the data: minimum age = 18, ma

1. **Problem Statement:** We are given four bivariate data sets and asked to identify the nature of the relationships between the variables in each set. 2. **Understanding Relation

1. **State the problem:** We need to estimate the number of rings containing between 1.4 g and 3 g of gold using the histogram data. 2. **Recall the formula for frequency from a hi

1. The problem is to find the median of a data set without explicitly counting all the values. 2. The median is the middle value when the data is ordered from smallest to largest.

1. **Problem Statement:** We have bivariate data with an explanatory variable $x$ (from 1 to 20) and a response variable $y$. We want to analyze the relationship between $x$ and $y

1. **State the problem:** We want to find the proportion of students in the sample who believe that "social media has a negative effect on my day-to-day happiness" in 2024. 2. **Fo