📊 statistics

1. **State the problem:** We are given the number of magazines purchased by six customers: 1, 7, 3, 2, 3, 4. 2. **Recall what the mode is:** The mode is the number that appears mos

1. **State the problem:** Given a frequency distribution of distances traveled by tires until unusable, find:

1. **State the problem:** Find the probability $P(-0.92<z<0)$ where $z$ is a standard normal variable. 2. **Recall standard normal distribution properties:** The standard normal di

1. **Stating the problem:** We have a frequency distribution showing the distances (in multiples of 1000 km) that wires lasted before becoming unusable for 60 wires. 2. **Organizin

1. **Stating the problem:** Given a frequency distribution of tire lifetimes (in 1000 km), we need to find: (1) The five modes of the distribution.

1. The z-score is a measure that indicates how many standard deviations an element is from the mean of a distribution. 2. To determine if there is a z-score in a drawing, we need c

1. The problem asks to find the probability \(P(0 < z < 2.65)\) using the standard normal distribution, where \(z\) is the standard normal variable. 2. Recall that the standard nor

1. **Problem statement:** We want to determine which statistical measures will be equal to zero if all values in a data set are the same. 2. **Key concept:**

1. **Problem Statement:** We want to calculate the variance $v_c^2$ for clusters given the formula: $$ v_c^2 = \frac{1}{n_c - 1} \sum_{i=1}^{n_c} \left( d_i - \overline{d} \right)^

1. Problem statement: Describe the relation between two variables (A,B) for each model based on the graphs provided. 2. Model 1 shows a scatter plot with points randomly scattered

1. Énoncé du problème : Nous avons un échantillon de 500 personnes avec leurs situations familiales données. 2. Calcul de la proportion des personnes mariées :

1. **State the problem:** We have data for boys' spending grouped in class intervals with frequencies and need to estimate the boys' mean spending first. 2. **Identify midpoints:**

1. **Stating the problem:** We need to calculate the range and standard deviation for rainfall data of City A and City B, and determine which city has more variability in rainfall.

1. **State the problem:** We are given the number of comments on 10 opinion articles: {15, 25, 10, 30, 20, 18, 22, 12, 28, 17}. Calculate the mean and standard deviation to analyze

1. The problem states there are 12 bags of apples, with a mean of 8 apples per bag. 2. Using the formula for mean: $$\text{mean} = \frac{\text{total apples}}{\text{number of bags}}

1. **State the Problem:** We are given two sets of sentiment scores from two platforms and need to calculate variance and standard deviation for each. Then determine which platform

1. The problem asks to find the mean deviation of the data set 3, 4, 5, 6, 7, 8. 2. Mean deviation is the average of the absolute deviations from the mean.

1. **Problem statement:** We have frequency data of the number of text messages sent by students as follows:

1. **State the problem:** We are asked to calculate the number of left-handed people in Wales in 2011 given the population and percentages. 2. **Identify given data:**

1. The problem is to understand the list of numbers: 28, 39, -8, -56, -9. 2. We can analyze this set by calculating basic statistics or identifying any patterns.

1. **Problem Statement:** Given Susan Dean's spring pre-calculus exam scores: