📊 statistics

1. The problem asks to find the probability $P(Z > -0.58)$ where $Z$ is a standard normal variable. 2. The standard normal distribution is symmetric about zero, and probabilities a

1. **Problem:** Given 30% of bank customers are female, find probabilities for 10 randomly selected customers. 2. **Formula:** Use binomial probability formula $$P(X=k) = \binom{n}

1. **State the problem:** We want to test if there is enough evidence to reject the claim that the average home price in Beaver County is $60,000 at significance level $\alpha = 0.

1. **State the problem:** We want to test if there is enough evidence to reject the claim that the average price of a home sold in Beaver County is $60,000 at a significance level

1. The problem is to understand how to organize and display data using tables in statistics. 2. A table in statistics is a way to arrange data in rows and columns to make it easier

1. **Problem Statement:** Calculate the coefficient of skewness and kurtosis for the exam scores \{60, 62, 65, 68, 70, 70, 72, 74, 75, 75, 76, 78, 80, 82, 85, 88, 90, 92, 95, 98\}

1. The problem is to understand the concepts of mean, median, and mode (modus) in statistics. 2. **Mean** is the average of a set of numbers. It is calculated by summing all the nu

1. **Problem statement:** Calculate the coefficient of skewness and kurtosis for the exam scores \{60,62,65,68,70,70,72,74,75,75,76,78,80,82,85,88,90,92,95,98\} and interpret the d

1. **State the problem:** Find the interquartile range (IQR) of the data set: 8, 4, 7, 6, 15, 12, 16, 18. 2. **Sort the data:** Arrange the numbers in ascending order: 4, 6, 7, 8,

1. **State the problem:** Calculate the variance $S^2$, standard deviation $S$, and Mean Absolute Deviation (MAD) for the data set: 8, 4, 6, 2, 5. 2. **Calculate the mean (average)

1. **Stating the problem:** Calculate the mean score of students in the literature quiz using the grouped frequency distribution table provided.

1. **Restate the problem:** We need to correctly find the upper quartile (Q3) for the data set with frequencies: 25(4), 26(1), 27(4), 28(3), 29(2), 30(3). 2. **Recall the ordered d

1. **State the problem:** We need to complete the five number summary (Minimum, Lower quartile, Median, Upper quartile, Maximum) for the data set: 25, 26, 27, 28, 29, 30 with the g

1. The problem is to calculate the interquartile range (IQR) given the five number summary: minimum = 18, lower quartile (Q1) = 20, median = 21, upper quartile (Q3) = 23, maximum =

1. **State the problem:** We need to calculate the interquartile range (IQR) from the five number summary. 2. **Recall the formula:** The interquartile range is given by:

1. **State the problem:** We are given a stem-and-leaf plot and need to find the five number summary: minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum. 2

1. **State the problem:** We have a frequency distribution with scores and frequencies involving $x$, and the total score sum is 300. We need to find the variance and standard devi

1. **State the problem:** We are given a frequency distribution table with scores and frequencies involving a variable $x$: | Score | 2 | 4 | 5 | 6 | 7 | 8 |

1. The problem is to find the median, lower quartile (Q1), and upper quartile (Q3) of a data set. 2. The median is the middle value when the data is ordered. If the number of data

1. The problem asks for the mean check-in weight of 30 passengers given a frequency table of weights. 2. The formula for the mean when data is grouped with frequencies is:

1. **State the problem:** We are given a frequency table of pet ownership by men and women and need to complete the relative frequency table. 2. **Understand relative frequency:**