📊 statistics

1. **Problem Statement:** Given two sets of data points for variables $x$ and $y$:

1. The problem asks for the percentage of students who like navy color. 2. From the data given, the percentage of students who like navy is directly stated as 5%.

1. **Problem Statement:** We have marks of 10 employees before and after training. We want to determine if the training has significantly improved their performance using a paired

1. Statement of the problem: Two classes have dot plots showing nine quiz scores each, and we need to analyze and compare their distributions. 2. Data given: Class B scores are 8,

1. The problem involves interpreting two dot plots representing quiz scores for two different classes. 2. The top dot plot shows quiz scores ranging from 1 to 16, with most dots cl

1. The problem involves analyzing the quiz scores of students in two math classes, each with 9 scores represented in dot plots. 2. Since the dot plots are not provided, we cannot c

1. **Problem Statement:** Organize the marks of 40 candidates into grouped frequency distribution with class intervals 0-9, 10-19, ..., 90-99.

1. **Problem Statement:** Organize the given marks of 40 candidates into a grouped frequency distribution with class intervals 0-9, 10-19, etc.

1. **Problem Statement:** Fit a multiple regression model relating the number of games won ($y$) to passing yardage ($x_2$), percent rushing plays ($x_7$), and opponent's rushing y

1. **Problem statement:** We have 5 executives with years of service: 20, 22, 26, 24, 28. We want to find how many samples of size 2 are possible using combinations. 2. **Formula:*

1. **State the problem:** We are given a discrete random variable $X$ with values and their probabilities $P(X)$. We need to find the Mean ($\mu$), Variance ($\sigma^2$), and Stand

1. **State the problem:** We are given a discrete random variable $X$ with probabilities $P(X)$ and need to find the Mean ($\mu$), Variance ($\sigma^2$), and Standard Deviation ($\

1. The problem involves calculating the mean ($\bar{x}$) from grouped frequency data. 2. The formula for the mean of grouped data is:

1. **State the problem:** Find the mean of the values 0, 1, 2, and 3. 2. **Formula for mean:** The mean (average) of a set of numbers is given by

1. **Problem Statement:** We have the ages of 55 employees and need to:

1. **Problem Statement:** We have grouped data of prices and their frequencies. We need to find:

1. The problem is to find an alternative formula for the sample variance. 2. The sample variance $s^2$ measures the spread of data points in a sample and is usually calculated by t

1. Let's restate the problem: Calculate the sample standard deviation of the data set $\{2,4,4,4,5,5,7,9\}$ using a table. 2. Recall the formula for sample standard deviation:

1. Let's start by stating the problem: We want to understand how to calculate the standard deviation of a data set. 2. The standard deviation measures how spread out the numbers in

1. The problem asks for the slowest pulse rate in the "after exercise" group. 2. The data is presented as a stem-and-leaf plot. For the "after exercise" group, the stems are the te

1. **State the problem:** We are given a set of student heights in inches: 67, 70, 71, 61, 71, 67, 69, 68, 66, 65, 67, 67, 64, 71, 69, 67, 67, 64, 62, 69. 2. **Create a stem-and-le