📊 statistics

1. **Problem Statement:** We have test scores of 40 students and need to find the mean, median, and mode. 2. **Mean Formula:** The mean is the average of all data points.

1. **State the problem:** We are given a grouped frequency distribution of marks scored by 100 students in a Biology exam. We need to find:

1. **State the problem:** We have a scatter plot showing the relationship between the number of hours worked ($x$) and the amount of money spent on entertainment ($y$) by 25 studen

1. The problem asks to answer parts i) and ii) and determine if the results support the hypothesis. 2. Since the exact questions for i) and ii) are not provided, I will explain the

1. **State the problem:** We need to find the mean number of refunds given in the summer and winter from 2015 to 2020 using the bar chart data, then determine if more refunds are g

1. **State the problem:** We need to find the minimum sample size $n$ required to estimate the prevalence of Alzheimer's disease with a margin of error no more than 3.4% (0.034) at

1. The problem asks for the total number of students who chose a school dinner. 2. From the frequency tree, we see two year groups: Year 7 and Year 8.

1. **Problem statement:** We have a frequency distribution of students' long jump distances in intervals and need to answer several questions about the data. 2. **Given data:**

1. **Problem statement:** Given an incomplete contingency table with relative frequencies:

1. **Stel het probleem vast:** We hebben een enquête onder 2000 mensen over hun favoriete dessert. We moeten de ontbrekende waarden in de tabel vinden, namelijk de absolute aantall

1. **State the problem:** We are given data relating the number of automatic weapons (in thousands) $x$ to the number of murders per 100,000 residents $y$. The data is modeled by t

1. **State the problem:** Calculate the correlation coefficient $r$ for the given data points $(x, y)$. 2. **Formula:** The correlation coefficient $r$ is given by:

1. **State the problem:** We have the data set 4, 6, 2, 5, 8, 1, 3. We want to find which measure of central tendency (mean, median, mode, or range) remains the same if the 1 is ch

1. **State the problem:** Find the quartiles (Q1, Q2, Q3) for the given data set. 2. **Recall definitions:**

1. **State the problem:** Find the five number summary for the data set and create a boxplot. 2. **Five number summary includes:** minimum, first quartile (Q1), median (Q2), third

1. **State the problem:** We are given a data set and asked to check the calculations of mean, median, range, variance, and standard deviation. 2. **Mean calculation:** The mean $\

1. **Problem Statement:** Use the histogram to answer the following questions about the number of cars sold in a week.

1. **Stating the problem:** We are given a frequency distribution of mass (in mg) intervals and their corresponding absolute frequencies (AF). The problem is to analyze or interpre

1. The problem asks to explain the difference between a discrete variable and a categorical variable, and to identify examples of each. 2. A discrete variable is a numerical variab

1. **Problem:** A worker randomly selects one out of every 7 sets from the 3,500 sets of headphones produced. The sample size is 500 sets. We need to find the ratio of defective he

1. **Problem Statement:** Given data for river width (m) and water speed (km/h), we need to draw a scatter plot, find a line of fit, write its equation, and estimate water speed at