📊 statistics

1. **Problem Statement:** Find the median of grouped data. 2. **Formula for Median of Grouped Data:**

1. The problem asks for the standard deviation, which measures the amount of variation or dispersion in a set of values. 2. The formula for the standard deviation $\sigma$ of a pop

1. **State the problem:** We are given a set of data points in grams: 1000, 1005, 989, 1003, 899, 1007, 1001, 1000, 900, 992. We need to find the mean (average) of these values. 2.

1. **Problem Statement:** Given 50 values of $y$, with $\sum (y - t) = 1672$ and $\sum (y - t)^2 = 5081.6$, where $t$ is a constant.

1. **Problem Statement:** Find the variance of the midexam results for classes 5A and 5B. Given data:

1. **State the problem:** We want to test if more than 45% of the bank customers have saving accounts based on the sample data. 2. **Identify the sample data:** Total customers $n=

1. **Problem statement:** We need to find the new minimum height for men such that only the tallest 4% of men are eligible. 2. **Given data:**

1. **Problem Statement:** Test the hypothesis that there is no difference in the average production of maize when different kinds of manure are used, using the given data and a 0.0

1. **Problem Statement:** Calculate Spearman's rank correlation coefficient to assess the consistency between employee performance scores and peer review rankings. 2. **Formula:**

1. **State the problem:** We need to calculate the Pearson correlation coefficient $r$ to measure the strength and direction of the linear relationship between advertising spend an

1. **Problem Statement:** Given independent random variables $X_i \sim N(0, i\sigma^2)$ for $i=1,2,\ldots,n$, with pdf

1. **Problem statement:** We have delivery times normally distributed with mean $\mu=5$ days and standard deviation $\sigma=1.2$ days. 2. **Formula and rules:** For a normal distri

1. **Problem statement:** We are given that the average age (mean) of bank managers is $\mu = 40$ years, and the standard deviation is $\sigma = 5$ years. The ages are normally dis

1. **Problem statement:** Given a normal distribution with mean $\mu=25$ and standard deviation $\sigma=7.5$, find the percentage of scores: a) Greater than 40

1. The problem is to understand the probability model given by $$Pr(Export_i=1) = \Phi(\beta_0 + \beta_1 TransportObstacle_i + \beta_2 SkillsObstacle_i + \beta_3 X_i + \beta_4 Year

1. ප්‍රශ්නය: දී ඇති දත්ත සෙට් එකේ මාතය (mode), මධ්‍යස්ථය (median), සහ මධ්‍යන්‍යය (mean) සොයා ගන්න. 2. මාතය (mode) යනු දත්ත සෙට් එකේ වැඩිම වතාවක් පෙනෙන අගයයි.

1. Задача: Определить наибольшее число $a$ такое, что $a \leq V \leq b$, где $V$ — точное число воробьев, при условии, что в любой из дней подсчёты учеников были различными и отлич

1. The problem is to understand what the median is in statistics. 2. The median is the middle value in a data set when the numbers are arranged in order.

1. **Problem Statement:** We have two frequency distributions: one for scores of candidates and another for tyre life versus type.

1. **Problem Statement:** We have a frequency distribution of lifetimes of 500 light bulbs. We need to calculate the mean, standard deviation, construct a percentage ogive to find

1. **Problem Statement:** We have a sample of times (in seconds) taken by employees to complete a task: 63, 229, 165, 77, 49, 74, 67, 59, 66, 102, 81, 72, 59, 74, 61, 82, 48, 70, 8