📊 statistics

1. **State the problem:** We have data for 8 male students showing hours spent on social media ($x$) and their IB Diploma points ($y$). We need to plot a scatter diagram, calculate

1. **Problem Statement:** We have a box and whisker diagram representing the number of sick days taken by employees in a year. The key values are:

1. **Problem 5a:** Show that the test score of 25 is not an outlier given the lower quartile (Q1) = 62 and upper quartile (Q3) = 88. 2. **Formula and rule:** To check for outliers,

1. **Problem statement:** We have water temperature data $T$ for months $m=1$ to $8$ (January to August) with May ($m=5$) missing. We assume a linear model $T=am+b$ and want to fin

1. **Problem statement:** We have a sample of 760 potatoes with weights measured and a cumulative frequency curve given. We need to find: - (a) Number of potatoes weighing more tha

1. **Problem statement:** A school has 740 students divided into 5 grades with given numbers. The principal wants to select a sample of 25 students maintaining the same proportion

1. **Stating the problem:** We are given a list of squared deviations from the mean, $(x - \bar{x})^2$, and we need to find their sum, which is the numerator in the standard deviat

1. The problem is to find the Interquartile Range (IQR) of a data set. 2. The IQR is a measure of statistical dispersion and is calculated as the difference between the third quart

1. The problem is to find the first quartile (Q1), median (Q2), and third quartile (Q3) of the given data set. 2. First, sort the data in ascending order:

1. **Problem Statement:** Determine if there is a significant change in resiliency levels before and after undergoing Gestalt Therapy using the given data. 2. **Step 1: Calculate M

1. **State the problem:** We need to find the first four central moments and the first three moments about the origin 4 for the data set $\{2,4,6,8\}$. 2. **Recall definitions:**

1. **State the problem:** We need to find the standard deviation of the female salaries using the population formula, showing all steps and additions. 2. **Recall the formula for p

1. **Problem 1: Statistical Measures for Dataset 1** Given dataset: 45, 62, 75, 85, 90, 93, 95, 95, 100

1. **Problem Statement:** Given the dataset of student test scores: 45, 62, 75, 85, 90, 93, 95, 95, 100, find the range, 1st and 3rd quartiles, 25th and 50th percentiles, mean, med

1. **State the problem:** We have data on the number of cigarettes smoked per day by 20 patients: 10, 8, 6, 14, 22, 13, 17, 19, 11, 9, 18, 14, 13, 12, 15, 15, 5, 11, 16, 11. 2. **G

1. **State the problem:** We are given a frequency distribution of masses of maize flour used by 30 traders and asked to find the median mass. 2. **Recall the formula for median in

1. **State the problem:** Given a discrete probability distribution with values of $x$ and their probabilities $P(x)$, we want to calculate the mean $\mu$ and the variance $\sigma^

1. The problem asks to calculate the variance by computing $ (x - \mu)^2 \times P(x) $ for each row and summing them up. 2. The variance formula is:

1. **Problem Statement:** Determine how many students had an overall academic grade below 84 based on the scatter plot showing the relationship between the number of absences and o

1. The problem is to insert the given values into a base or data structure, but since no specific operation or formula is provided, we will interpret this as organizing or analyzin

1. The problem is to insert and analyze the given 138 numerical values. 2. First, we list the values as provided: 37, 38, 37, 20, 43, 37, 40, 39, 42, 42, 40, 38, 43, 43, 18, 19, 20