📊 statistics

1. **Problem Statement:** Compute the mean, median, mode, range, variance, and standard deviation of sales for 8 outlets with sales data: 45, 52, 39, 60, 55, 48, 62, 50 (in MK mill

1. **Problem Statement:** Calculate the mean number of children per family, the mean absolute deviation, and the standard deviation from the given data.

1. **Problem Statement:** We have 400 students at Loyola College in 2015.

1. **State the problem:** A company claims the average customer satisfaction score is 80%. A sample of 25 customers shows a mean of 79.02% with a standard deviation of 4. We want t

1. **State the problem:** We are given class intervals and their corresponding frequencies. We need to create a frequency table and calculate the mean, median, and mode. 2. **Creat

1. **State the problem:** We are given class intervals and their corresponding frequencies. We need to find the mean, median, and mode of the grouped data. 2. **Given data:**

1. The problem: Perform a t-test to determine if the mean of a sample differs significantly from a known population mean. 2. Formula: The t-test statistic is calculated as $$t = \f

1. The problem: Perform a one-sample t-test to determine if the mean of a sample differs significantly from a known population mean. 2. Formula: The t-test statistic is calculated

1. **Problem Statement:** Compute the mean, median, mode, range, and sample variance of the reading test scores: 72, 88, 81, 75, 88, 91, 84, 75, 90, 80. 2. **Mean:** The mean is th

1. **Problem 1 (Two marks):** Calculate the mean of the data set: 5, 8, 12, 20, 25. 2. **Solution:**

1. **Problem Statement:** Find the median and standard deviation of the given data set. 2. **Median:** The median is the middle value when the data is ordered from least to greates

1. **Problem Statement:** Given a grouped frequency distribution of employee performance rates, we need to find:

1. **Problem Statement:** Test the surveyor’s claim using a chi-square goodness-of-fit test with significance level $\alpha = 0.01$. 2. **Chi-square goodness-of-fit test formula:**

1. **State the problem:** We are given the number of accidents in a city during a week and want to test if the accidents are uniformly distributed over the days of the week. 2. **D

1. The problem states that $H_0: \mu_1 = \mu_2$, which is a hypothesis test where the null hypothesis claims the means of two populations are equal. 2. This is a common setup in st

1. **Problem Statement:** We want to find the 70th percentile $y^*$ of the fish length distribution, meaning 70% of fish lengths are less than $y^*$ and 30% are greater. 2. **Formu

1. Problem: Carla rolls a fair six-sided die. She wins 12 if she rolls a 6, but loses 3 for any other number. Find the expected value. Formula: Expected value $E(X) = \sum [x \cdot

1. **Problem:** Test if there is a difference in the age of onset of Alzheimer's symptoms between men and women at a 5% significance level. 2. **Hypotheses:**

1. **Problem a:** Find the midpoint of the first group 0 - 9. The midpoint of a group is the average of the lower and upper boundaries.

1. **Problem:** Test if there is a difference in the age of onset of Alzheimer’s symptoms between men and women. 2. **Hypotheses:**

1. **State the problem:** Find the mean (average) of the numbers 1, 2, 2, 5, 6, 7, 8. 2. **Formula for the mean:** The mean of a set of numbers is given by