📊 statistics
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Mode Calculation
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
Calculate Mode
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 $f$.
Calculate Mode
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
Calculate Mode
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 $f$.
Calculate Mode
1. The problem asks us to find the mode of the data set given by the frequency table:
| x | f |
Sentiment Variance
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
Petrol Usage
1. **Problem Statement:**
We have petrol usage data (in litres) for 40 boda boda riders and the cost per litre is 160.
Petrol Frequency
1. **Problem statement:**
We have petrol usage data (in litres) for 40 boda boda riders and the cost per litre is 160.
Binomial Defect
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
Traffic Variability
1. **State the problem:** We have daily website traffic data (in thousands) for two sections over a week:
- Politics: $\{25, 30, 22, 28, 27, 26, 29\}$
Mean From Mode Median
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,
Mean Calculation
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:
Median Class
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:**
Class Interval
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.
Normal Probability
1. ปัญหาคือหาความน่าจะเป็นที่ตัวแปรสุ่ม $X$ ซึ่งมีการแจกแจงปกติด้วยค่าเฉลี่ย $\mu=200$ และส่วนเบี่ยงเบนมาตรฐาน $\sigma=50$ จะอยู่ในช่วง $[100,300]$\n\n2. ขั้นแรกแปลงช่วง $[100,300]
Birthrate Life Expectancy
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
Subscriber Growth
1. **State the problem:** We want to find the number of new mobile phone subscribers by 2025 for all regions excluding APAC and MENA, assuming current growth rates continue.
2. **I
Desile 7
1. ปัญหาคือการหาค่าเดไซล์ที่ 7 (D7) ของชุดข้อมูล 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
2. เดไซล์ที่ 7 หมายถึงตำแหน่งที่ 70% ของข้อมูลเมื่อเรียงลำดับจากน้อยไปมาก
Third Quartile
1. ปัญหาคือการหาค่าควอร์ไทล์ที่ 3 (Q3) ของชุดข้อมูล 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
2. ค่าควอร์ไทล์ที่ 3 คือค่าที่แบ่งข้อมูลออกเป็น 75% ด้านล่างและ 25% ด้านบน
Income Consumption
1. **Stating the problem:**
We have data of 10 TNI soldiers with their monthly income (Pendapatan) and consumption (Konsumsi) in million rupiahs. We want to analyze the relationshi
Frequency Distribution
1. **State the problem:** We have the number of mobile phones sold in 30 shops and need to construct a frequency distribution table with class intervals, draw histogram, frequency