📊 statistics

1. **State the problem:** We have relative frequencies of samples with harmful pollution levels for each day, and each day 500 samples are taken. We need to find the range of the n

1. The problem asks to find probabilities related to the standard normal variable $z$. 2. For $P(z < -0.73)$, we look up the cumulative probability for $z = -0.73$ in the standard

1. **Problem:** Calculate $P(0 < z < 1.44)$ for a standard normal distribution. 2. **Step 1:** Recall that the total area under the standard normal curve to the left of $z=0$ is 0.

1. **State the problem:** We need to construct a box-and-whisker plot for the data set: 3, 9, 10, 2, 6, 7, 5, 8, 6, 6, 4, 9, 22, and identify any outliers. 2. **Order the data:** S

1. **State the problem:** We need to calculate the variance and standard deviation of sentiment scores for Platform X and Platform Y, then compare their variability. 2. **Recall fo

1. **State the problem:** We are given a frequency distribution table with values of $x$ and their corresponding frequencies $f$. We need to find the mode, which is the value of $x

1. The problem asks us to find the mode of the data given in the frequency table. 2. The mode is the value of $x$ that corresponds to the highest frequency $f$.

1. **State the problem:** We are given a frequency distribution table with values $x$ and their corresponding frequencies $f$. We need to find the mode, which is the value of $x$ t

1. The problem asks us to find the mode of the data set given in the frequency table. 2. The mode is the value of $x$ that corresponds to the highest frequency $f$.

1. The problem asks us to find the mode of the data set given by the frequency table: | x | f |

1. **State the problem:** We need to calculate the variance and standard deviation of sentiment scores for Platform X and Platform Y, then compare their variability. 2. **Recall fo

1. **Problem Statement:** We have petrol usage data (in litres) for 40 boda boda riders and the cost per litre is 160.

1. **Problem statement:** We have petrol usage data (in litres) for 40 boda boda riders and the cost per litre is 160.

1. **State the problem:** We want to find the probability of having at most 2 defective items in a batch of 50, where each item has a 5% defect rate. This means we want $P(X \leq 2

1. **State the problem:** We have daily website traffic data (in thousands) for two sections over a week: - Politics: $\{25, 30, 22, 28, 27, 26, 29\}$

1. The problem states that the mode is 400 and the median is 500, and we need to find the mean. 2. For a moderately symmetric distribution, the empirical relationship between mean,

1. The problem is to calculate the mean (average) of the given cells: A1=70, A2=40, A3=71, A4=74, A5=85. 2. The formula for the mean of $n$ numbers $x_1, x_2, \ldots, x_n$ is:

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

1. The problem is to understand the concept of a class interval in statistics. 2. A class interval is a range of values used to group data points in a frequency distribution.

1. ปัญหาคือหาความน่าจะเป็นที่ตัวแปรสุ่ม $X$ ซึ่งมีการแจกแจงปกติด้วยค่าเฉลี่ย $\mu=200$ และส่วนเบี่ยงเบนมาตรฐาน $\sigma=50$ จะอยู่ในช่วง $[100,300]$\n\n2. ขั้นแรกแปลงช่วง $[100,300]

1. **State the problem:** We are given data on birthrate $x$ (number of births per 1000 population) and female life expectancy $y$ (in years), along with the product $xy$. We want