📊 statistics

1. **State the problem:** We have class intervals 0-20, 20-40, 40-60, 60-80, 80-100, 100-120 with frequencies 5, $x$, 10, missing, 7, 8 respectively. The mean is given as 62.8. We

1. **Stating the problem:** We have a discrete probability distribution with values $x$, probabilities $P(x)$, and related calculations including mean $\mu$, sample mean $\bar{X}$,

1. **State the problem:** We have class intervals and their frequencies with some missing values. The mean is given as 62.8. We need to find the missing frequencies using the step

1. **Stating the problem:** We are given probability distributions and asked to find missing probabilities and means (expected values) for two distributions, and then to find the v

1. **State the problem:** We have a pie chart with three categories. One category covers a sector angle of 120 degrees. We want to find what percentage this category represents of

1. **State the problem:** We need to find the range of the dataset: 15, 22, 8, 17, 30. 2. **Formula for range:** The range of a dataset is given by the difference between the maxim

1. **Problem Statement:** We are given a set of quoted interest rates (%) of bonds reported by the National Bank of Rwanda in 2018: 2.94, 4.25, 3.55, 1.90, 2.05, 1.78, 2.90, 1.85,

1. **Problem Statement:** We have scores of 28 pupils and need to group them into 5 class intervals, then find the frequency distribution, mean, median, and mode. 2. **Step 1: Find

1. The problem asks for the value of the $r^{th}$ moment about the mean for given parameters $\bar{x}$ (sample mean), $\mu$ (population mean), and $\sigma$ (standard deviation). 2.

1. The first question asks about the Normal Ordinate, which is the value of the normal distribution's probability density function (PDF) at the mean (usually 0 for standard normal)

1. **Problem Statement:** What percentage of students spend less than 2.5 hours per day on social media?

1. **State the problem:** We need to find the best representation of Hillary's typical heart rate after working out given the data: 137, 138, 137, 134, 82, 131, and 125 beats per m

1. **State the problem:** We need to find the best representation of Hillary's typical heart rate after working out given the data: 137, 138, 137, 134, 82, 131, and 125 beats per m

1. Problem statement: We have sugar bags filled with an average (mean) of 1004 g and a standard deviation of 2.4 g, assuming a normal distribution. 2. We want to find:

1. Let's start by stating the problem: We want to calculate Pearson's correlation coefficient, denoted as $r$, which measures the linear relationship between two variables. 2. The

1. The problem is to find the count of participants. 2. To find the count of participants, you typically need data or a list of participants.

1. We are given two sets of data: Midterms scores ($x$) and travel times ($y$). 2. We need to create a table including columns for $x$, $y$, $xy$, $x^2$, and $y^2$ for each partici

1. Let's create a table with columns for $x$, $y$, $xy$, $x^2$, and $y^2$. 2. For each participant, you need to provide values for $x$ and $y$.

1. **Stating the problem:** We have two sets of data: Midterm scores ($x$) and travel times ($y$). We want to analyze the relationship between these two variables, typically by fin

1. The problem is to create a table of participants including columns for $x$, $y$, $xy$, $x^2$, and $y^2$. 2. The formulas for each column are:

1. **State the problem:** We want to test if the average time teenagers spend on social media is 3 hours per day based on a sample of 100 teenagers. 2. **State the hypotheses:**