📊 statistics

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

1. The problem is to create a table of 138 observations from the given data set. 2. Since the data is already provided as a list of 138 numbers, the task is to organize it into a t

1. **Problem Statement:** We are given data points for $x$ and $y$ and need to find the best fitting exponential function $f(x)$ and linear function $g(x)$ using regression. Then,

1. The user asks to explain well with the tPx, which likely refers to the t-distribution probability expression $t_{p,x}$ or a similar statistical notation. 2. Let's clarify the pr

1. **Problem Statement:** We want to analyze the relationship between seniority (X, years with the company) and hourly wages (Y, dollars per hour) for 12 secretaries. 2. **Measure

1. **Problem Statement:** We have storage devices with capacities following a normal distribution with mean $\mu = 12$ terabytes and standard deviation $\sigma = 1.5$ terabytes.

1. **Stating the problem:** Calculate the average absolute deviation given three samples and their deviations from the mean. 2. **Formula used:** The absolute deviation for each sa

1. **Problem Statement:** Find the missing values in the frequency distribution table (Part A) and answer questions about the data (Part B).

1. **State the problem:** We need to estimate the number of rings containing between 1.6 g and 3 g of gold using the histogram data. 2. **Recall the formula for frequency from a hi

1. **Problem statement:** We need to estimate the number of rings containing between 1.4 g and 3 g of gold using the histogram data. 2. **Understanding the histogram:** The histogr

1. **State the problem:** We want to test if the gender of a professor is independent of the department using the given data. 2. **Data:**

1. **Problem statement:** Find the area under the standard normal distribution curve between $z=0$ and $z=1.5$. 2. **Formula and rules:** The standard normal distribution has mean