📊 statistics

1. **State the problem:** We have a sample of $n=6$ scores with a mean $M=10$. One score $X=12$ is removed. We need to find the new mean. 2. **Recall the formula for mean:**

1. **Problem Statement:** Given the GPA data of 15 students: 3.4, 3.9, 4.0, 2.8, 3.5, 2.6, 3.2, 3.6, 1.9, 2.1, 2.0, 3.3, 2.4, 1.8, 3.2, find the range, interquartile range (IQR), a

1. **State the problem:** Calculate the z-score for the measurements 34.6, 35.6, and 37.2 using the formula $$z = \frac{x - \bar{x}}{s}$$ where $\bar{x}$ is the mean and $s$ is the

1. **State the problem:** Calculate the z-scores for the measurements 34.6, 35.6, and 37.2 given the mean $\bar{x}$ and standard deviation $s$. 2. **Recall the formula for z-score:

1. The problem asks: What percent of $x$ values from a normal distribution lie within one standard deviation of the mean? This means we want the percentage of data between $\mu - \

1. **Problem:** Find the mean absolute deviation (MAD), standard deviation (σ), and variance (σ²) of the data set \{90, 86, 81, 62, 45, 93, 100, 75\}. 2. **Step 1: Calculate the me

1. Problem: Find the mean absolute deviation, standard deviation, and variance of the data set {600, 470, 170, 430, 300}. 2. First, calculate the mean (average) of the data:

1. Let's clarify the problem: You mentioned that when you input data, the equations and correlation coefficient you received were different from what you expected. 2. The correlati

1. **Problem Statement:** We are given data for days $x = 1, 2, \ldots, 8$ and the number of people volunteering $y = 9, 5, 13, 11, 10, 11, 19, 12$. We need to find the line of bes

1. **Stating the problem:** We are given a probability distribution for the number of houses sold (x) and their probabilities P(x). We need to find the mean (expected value) \(\mu\

1. **Stating the problem:** We have a factory producing 2000 pipes daily: 1200 from Machine A and 800 from Machine B.

1. **State the problem:** We need to find the percentage of students who received an A grade and were instructed individually. 2. **Identify the relevant data:** From the table, th

1. **State the problem:** We are given a stem-and-leaf plot of test scores for 23 students and asked to find the range of the test scores. 2. **Extract the data:** From the stem pl

1. The problem asks: Based on the histogram, how many countries have a population size less than 100000 people? 2. The population size is plotted on a $\log_{10}$ scale. To find th

1. **State the problem:** We have a sample of 20 people watching a commercial. The success rate for recalling the company name is 81% or 0.81. We want to find: a) The expected numb

1. **Problem:** Complete the two-way frequency table for after-school activity attendance by gender. Given:

1. Problem: Fill in the missing values in the gold price index table for years 2007 and 2009. 2. The index is calculated relative to the base year 2006, where the index is 100. The

1. **State the problem:** Show that to the nearest whole number, the electricity consumption per person in Algeria is 1304 kWH per year.

1. The problem is to determine the percentage of radios from each brand that are likely to play 30 minutes or longer based on the given data and box plot description. 2. First, let

1. **State the problem:** We are comparing two crank-powered radios based on their play times after cranking 15 times. We want to summarize which radio performs better and how cons

1. **Stel het probleem vast:** We hebben een boxplot van het gewicht (in kg) van 920 kinderen. 2. **Definities:**