📊 statistics

1. **State the problem:** We are given 10 values with the sum of their squares as 390 and the sum of the values as $10\sqrt{14}$. We need to find the standard deviation of these va

1. **State the problem:** We need to construct a grouped frequency distribution for the leisure time (in hours) of 80 college students. 2. **Organize the data:** The data ranges fr

1. **State the problem:** We have a poll with a sample size $n=2030$ and a reported margin of error (MOE) of 2 percentage points (0.02) at a 95% confidence level. We want to determ

1. **Prove the rank correlation coefficient formula:** The rank correlation coefficient $R$ is given by:

1. **Prove the rank correlation coefficient formula:** The rank correlation coefficient $R$ is given by:

1. **Problem 1: Variance of sample distributions** Given population $S = \{1, 2, 3, 4, 5\}$, population size $N=5$, sample size $n=2$.

1. প্রশ্ন: ১০টি তথ্যের জন্য সংসম্পকের নির্দেশক করণ। 2. দেওয়া তথ্য: $\sum x=700$, $\sum y=900$, $\sum xy=66900$, $\sum y^2=87360$, $\sum x^2=51868$, $n=10$।

1. **State the problem:** We want to test if the average stress level among pet owners (group 1) is lower than that among non-owners (group 2) at the 0.05 significance level. 2. **

1. The problem asks to plot points on a scatter graph using the given data from the table. 2. The table provides pairs of values for variables $c$ and $d$:

1. **State the problem:** We have data on opponent's height (H) and unreturned lobs (L) from five matches. We want to find: A. The dependent variable.

1. **Problem Statement:** Given tree circumferences data, find statistical measures: mean, median, mode, midrange, range, standard deviation, variance, Q1, Q3, and P10. Data: 1.8,

1. The problem is to calculate the sample size $n$ using the formula: $$n = \frac{Z^2 \times p \times q}{e^2}$$

1. The problem gives a histogram with frequency density on the y-axis and height intervals on the x-axis. We know 26 plants have a height less than 20 cm. 2. The total number of pl

1. **State the problem:** We have a histogram showing the ages of members in a football supporters club with frequency densities for different age intervals. We know there are 20

1. Let's restate the problem: We want to predict the value of a smaller time frame within a larger time frame based on the smaller frame's value before the larger frame ends, consi

1. **Calculate the mean, median, and mode for the ungrouped data.** Given data: 22, 21, 23, 24, 25, 24, 23, 22, 5, 2, 4, 3, 1, 2, 4, 16, 17, 18, 17, 18, 19, 17, 18, 16, 20, 20, 18,

1. **State the problem:** We have a 2x2 contingency table with observed frequencies for Beer and No Beer buyers against whether they bought diapers or not. We want to test if there

1. **Problem Statement:** We analyze the quality control data of light bulbs using various probability distributions and statistical methods. ---

1. **Problem Statement:** We analyze the quality control data of light bulbs using various probability distributions. **Part 1: Discrete Random Variables and Distributions**

1. **Problem Statement:** Calculate the Mean, Median, Mode, and Standard Deviation for the given frequency distribution of advertising expenses (in millions) for 100 companies. 2.

1. **State the problem:** We are given UK aid amounts to Ethiopia from 2009 to 2015: 219, 263, 344, 265, 329, 321, 338 (in millions). We need to calculate the mean and standard dev