📊 statistics

1. **State the problem:** We have a set of scores from Grade 7 learners and need to analyze the frequency distribution to answer questions about highest and lowest frequencies, and

1. **Problem Statement:** We are given that 83% of federal government employees use e-mail. From a sample of 210 employees, we need to find the mean, variance, and standard deviati

1. **State the problem:** We have two data sets, A and B. Data set A has 21 values including one outlier 19, and data set B is data set A without the outlier 19, so it has 20 value

1. **State the problem:** We have a frequency distribution of garden areas with some missing frequencies. We know the total number of responses is 100, and the frequency in the int

1. The problem asks to identify which situation best represents causation. 2. Causation means one event directly causes another. Correlation means two events happen together but on

1. **Problem Statement:** We have monthly revenue (Y) and two predictors: Radio units (X1) and Television units (X2). We want to:

1. **Problem Statement:** (a)(i) Estimate the regression equation of Revenue (Y) on Radio units (X1) and Television units (X2).

1. **Problem statement:** We are given the mean height $\mu = 158$ cm, standard deviation $\sigma = 20$ cm, and total number of students $N = 100$. We want to find how many student

1. **Problem Statement:** We want to find the probabilities that a normally distributed random variable falls within certain standard deviations (SD) from the mean. 2. **Background

1. **Problem statement:** We have a normally distributed random variable $X$ representing the time for super glue to set, with mean $\mu = 30$ seconds. We want to find the standard

1. **State the problem:** We have a random variable (RV) with a normal distribution, mean $\mu = 62.4$, and we want to find the standard deviation $\sigma$ given that $P(X > 79.2)

1. **State the problem:** We have a random variable (RV) with a normal distribution and standard deviation (SD) $\sigma = 10$. We know the probability that the RV is less than 82.5

1. **Problem statement:** We have a normal distribution for cosmic radiation exposure with mean $\mu = 4.35$ mrem and standard deviation $\sigma = 0.59$ mrem. We want to find proba

1. **Problem statement:** We have a normal distribution for cosmic radiation exposure with mean $\mu = 4.35$ mrem and standard deviation $\sigma = 0.59$ mrem. We want to find proba

1. The problem is to understand why the probability is expressed as $P(Z \leq -2.33) = 0.0099$ instead of $P(Z > -2.33)$, especially when comparing it to a probability like $P(16.0

1. **Problem Statement:** We have a normally distributed random variable $X$ representing developing time with mean $\mu=16.28$ seconds and standard deviation $\sigma=0.12$ seconds

1. The problem asks to find the critical values $Z_{0.01}$, $Z_{0.05}$, $Z_{0.005}$, and $Z_{0.025}$ from the standard normal distribution. 2. These values correspond to the z-scor

1. **Problem Statement:** Find the probabilities for a standard normal random variable $Z$ for the following intervals: (i) Between 0.87 and 1.28

1. The problem is to understand the components of a frequency table and how to calculate each column. 2. A frequency table typically has these columns:

1. **Problem Statement:** Find the mode of the grouped data given the class intervals and their frequencies. 2. **Data:**

1. **Stating the problem:** We have data for 6 estates showing the number of housing blocks and the number of bikes parked. We want to analyze the relationship between these two va