📊 statistics

1. The first problem involves analyzing monthly accident counts for two years, 2078 and 2079. 2. We can compare the total accidents per year by summing the monthly counts.

1. **Stating the problem:** We want to understand the formulas for Pearson's correlation coefficient $r$, the test value $t$ for significance testing of $r$, and Spearman's rank-or

1. **Problem Statement:** Given a grouped frequency distribution table, find the minimum, mode, median, variance, standard deviation, 30th percentile (P30), 80th percentile (PP80),

1. The problem asks for the fraction of members whose heights are between 150 cm and 160 cm. 2. From the frequency polygon and table, the class interval 150 < x ≤ 160 corresponds t

1. **Problem statement:** We are given a histogram showing the frequency density of Roman coins by their mass intervals. We know that 108 coins weigh between 8 g and 17 g. We need

1. The problem involves analyzing a class frequency distribution, which is a way to organize data into intervals (classes) and count how many data points fall into each interval (f

1. Let's state a basic statistics problem: Find the mean, median, and mode of the data set: 3, 7, 7, 2, 9, 10, 3. 2. The mean (average) is calculated by summing all values and divi

1. **State the problem:** We need to estimate the number of rings containing between 1.4 g and 3 g of gold using the histogram data. 2. **Recall the formula for frequency:** The fr

1. The problem asks: How many of the non-fiction books were written by female authors? 2. From the table, the number of non-fiction books written by female authors is directly give

1. The problem asks: What does the Central Limit Theorem (CLT) state? 2. The Central Limit Theorem is a fundamental result in probability theory and statistics.

1. **Problem Statement:** Calculate the mean lifetime and standard deviation of lifetimes for bulbs from manufacturers A and B based on the given grouped data. 2. **Formulas:**

1. **Stating the problem:** We are given the hours of sleep of 10 soldiers during field training: 4, 5, 6, 7, 6, 5, 4, 6, 7, 5. 2. **Goal:** Construct a frequency table that shows

1. **State the problem:** We are given the number of missions completed by 15 soldiers in a month: 1, 2, 3, 4, 2, 3, 4, 5, 1, 2, 3, 4, 2, 3, 4. We need to construct a frequency tab

1. The presenter’s conclusion that watching TV causes weight gain is incorrect because correlation does not imply causation. A correlation of $r=0.21$ only indicates a weak associa

1. The presenter’s conclusion that watching TV causes weight gain is incorrect because correlation does not imply causation. The correlation $r=0.21$ only indicates a weak positive

1. The presenter’s conclusions are flawed because correlation does not imply causation. A correlation of $r=0.21$ only indicates a weak association between weight and hours of TV w

1. **Problem:** Prepare a discrete frequency distribution table for the data: 12, 21, 21, 3, 9, 3, 6, 12, 13, 21, 15, 22, 3, 6, 9, 9, 21, 22, 15, 13, 15, 9, 15, 6, 15, 13, 6, 9, 13

1. **Problem Statement:** We are given the probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day as $P(x) = 0.75, 0.17, 0.01, 0.025, 0.01, 0.005$

1. **State the problem:** We have a probability distribution with values of $x$ and their probabilities $P(X)$. We need to complete the table by calculating $x \cdot P(X)$, $x - \m

1. **State the problem:** We are given a discrete probability distribution of the number of modules John can finish in a day, with values of $x$ and their probabilities $P(x)$. We

1. **Problem Statement:** We have weekly physical training hours for 30 soldiers: 3, 4, 5, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 4, 5, 6, 7, 3, 4, 5, 6, 7. We need