📊 statistics

1. **Problem:** Find the area between $z=2$ and $z=3$ using the z-table. 2. **Formula and rules:** The area between two z-values $z_1$ and $z_2$ on the standard normal curve is giv

1. **State the problem:** We have a population with values $\{2,4,8,10,5\}$. We want to list all possible samples of size 3, find their sample means, and construct the sampling dis

1. **State the problem:** We are given the ages (in months) at which eight children first walked: 12, 11, 16, 19, 10, 12, 12, 13. We need to calculate the mean and standard deviati

1. **Stating the problem:** We are given the distribution of parents' job status for students in classes A, B, and C. We need to determine which class has the most varied (heteroge

1. **Stating the problem:** We have data on the status pekerjaan (job status) of parents of students in classes A, B, and C. We want to determine which class has the most variation

1. **Problem Statement:** Find the area between $z=0$ and given $z$-scores using the z-table (standard normal distribution).

1. **Problem Statement:** Find the area under the standard normal curve between $z=0$ and given $z$-values using the z-table.

1. The problem is to identify examples of parameters and statistics in different situations. 2. A parameter is a numerical value that describes a characteristic of an entire popula

1. **Problem:** Find the point estimate for the average time spent in the store for all customers based on a sample. 2. **Formula:** The point estimate for the population mean is t

1. **Stating the problem:** We are given a frequency distribution with class intervals, real limits, frequencies, and relative frequencies. We want to understand how to calculate t

1. **State the problem:** We need to find how many students obtained marks greater than the average marks of the class based on the given histogram data. 2. **Data from histogram:*

1. **State the problem:** We need to find the percentage of schools charging a monthly fee below 150. 2. **Identify the data:** The number of schools for each fee category is:

1. **Stating the problem:** We have a data set with mean $\mu = 7$, variance $\sigma^2 = 2$, and range $R = 3$. Each data point is transformed by multiplying by 2 and then adding 5

1. **ปัญหา:** ข้อมูลชุดหนึ่งมีค่าควอไทล์ที่ 3 (Q3) มากกว่าควอไทล์ที่ 1 (Q1) อยู่ 10 และสัมประสิทธิ์ของส่วนเบี่ยงเบนควอไทล์ (Coefficient of Quartile Deviation) เท่ากับ $\frac{1}{3}$

1. **Stating the problem:** We are given the data set: 7, 3, 1, 5, 13, 7, 19, 16.

1. ปัญหาคือหาค่าของ $b - a$ เมื่อคะแนนสอบ 10 คนเรียงจากน้อยไปมากเป็น 15, 16, 24, $a$, 28, 29, 31, $b$, 37, 37 โดยมีค่าเฉลี่ยเลขคณิตเท่ากับ 28 และส่วนเบี่ยงเบนเฉลี่ยเท่ากับ 6 2. สูต

1. **Problem Statement:** Find the probability that the annual salary of a randomly selected teacher is at least 85,000 pesos.

1. **State the problem:** We are given a grouped frequency distribution of electrical cord lengths for 80 kettles and need to complete the cumulative frequency table. 2. **Recall t

1. The problem asks to identify which of the given options is discrete data. 2. Discrete data consists of distinct, separate values, often counts, that cannot be subdivided meaning

1. **Problem Statement:** Find the Mean (Direct Method), Median, and Mode of the delivery time from the given frequency distribution. 2. **Given Data:**

1. **Problem Statement:** Find the Mean (Direct Method), Median, and Mode of the delivery time for the given frequency distribution. 2. **Given Data:**