📊 statistics

1. **State the problem:** We want to find the percentage of data values greater than $x=22$ in a normal distribution with mean $\mu=24.8$ and standard deviation $\sigma=5.94$. 2. *

1. **Problem a:** Find $k$ such that $P(\mu - k\sigma \leq X \leq \mu + k\sigma) = 0.8502$ for a normal distribution. 2. The probability that $X$ lies within $k$ standard deviation

1. **State the problem:** We are given data points $(3,13)$, $(4,19)$, $(7,38)$, $(10,92)$, $(12,97)$, $(14,150)$, and $(17,191)$ and asked to find the best fit for two models: exp

1. **Problem statement:** We have a frequency distribution of 120 potatoes by mass intervals and frequencies. We need to estimate the number of potatoes with mass greater than 270

1. **State the problem:** We are given a survey of 2,500 people aged 16–24 and the percentage of respondents who took public transport a certain number of times per week. We want t

1. **State the problem:** We need to determine which statement about internet usage activities by gender is true based on the given percentages. 2. **Analyze each statement:**

1. The problem asks for the range of the number of books. 2. The range of a data set is the difference between the maximum and minimum values.

1. **State the problem:** We want to find the overall relative frequency of teenagers who eat fruit every day based on two groups of survey responses. 2. **Given data:**

1. **State the problem:** We have a frequency distribution with class intervals and their frequencies. We want to draw a histogram and find the mode of the distribution. 2. **Recal

1. **State the problem:** We have a set of data values and need to group them into six classes and then find the relative frequency distribution. 2. **Find the range:** The range i

1. **Problem Statement:** Given a country with a birth rate of 15 per 1,000 population, find the percentage of countries that have a birth rate equal to or greater than 15.

1. **State the problem:** We want to test if the new organic fertilizer increases the mean height of flowering plants compared to the historical mean height of untreated plants, wh

1. **Stating the problem:** We have a study with 500 males and 500 females (total 1000 participants).

1. **State the problem:** We need to find two percentages based on the data:

1. **Problem Statement:** Given the data points \(x = [3,4,7,10,12,14,17]\) and \(y = [15,23,52,84,101,151,179]\), find the exponential regression \(y = a b^x\) and quadratic regre

1. **State the problem:** We are given a set of numbers representing the number of new businesses: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. We need to find:

1. **Problem statement:** We have monthly income data for 15 households grouped into income classes with given histogram bar heights (density). We need to create a frequency table,

1. **State the problem:** We are given the data set: 6, 7, 5, 4, 7, 8, 9, 7. We need to find the mean and the mode. 2. **Mean formula:** The mean (average) of a data set is given b

1. The problem provides a frequency distribution table showing the number of restaurants corresponding to ranges of employees. 2. The table is:

1. The problem asks to find the value of $a$ that completes the conditional relative frequency table by row for Non-Fiction texts assigned to students. 2. The table shows relative

1. The problem asks: How many students in the survey said that math was their favorite subject? 2. We are given the conditional relative frequencies for males and females who favor