📊 statistics

1. Given $X \sim N(44, 1^2)$, find the probabilities: 1.1 Calculate $P(X \leq 44.4)$:

1. Problem Statement: We have two normal distributions:

1. Problem statement: Given a chemistry exam with normally distributed marks where the mean $\mu=45$ and the variance $\sigma^2=13$, answer the following. 2. Calculate the standard

1. **Problem statement:** We are given that the exam marks are normally distributed with mean $\mu = 45$ and variance $\sigma^2 = 13$.

1. **State the problem:** We need to find the upper quartile (Q3), lower quartile (Q1), and then calculate the interquartile range (IQR) from the given cumulative frequency data fo

1. **Problem Statement:** We have a normally distributed variable $X$ representing exam marks with mean $\mu = 45$ and variance $\sigma^2 = 13$. (a) Find the proportion of candidat

1. We are given the frequency table for length intervals and need to find the missing cumulative frequency table values $A$, $B$, and $C$. 2. Cumulative frequency is the running to

1. The problem asks to find the distances of the interquartile range for the given intervals: 0-5, 5-10, 10-15, 15-20, 20-25, and express them correct to 2 decimal places. 2. The i

1. The problem asks to predict the numbers for 21-10-2025 for several places based on previous data for October 2025. 2. We have data for each location from 01-10-2025 to 20-10-202

1. We are given that the distance is 5 units and asked to find the interquartile range (IQR) of the distances, correct to 2 decimal places. 2. The interquartile range (IQR) is the

1. **State the problem:** We are given distances in kilometers covered by workers from their homes to the factory, and we want to find the mean and standard deviation of the distan

1. **State the problem:** We want to test whether the average height of 40 students is less than 160 cm. 2. **Set hypotheses:**

1. **State the problem:** We are given I.Q. scores of 60 children and need to form a frequency distribution with class intervals of width 15. Then, we will locate the mode graphica

1. The problem involves finding the inverse binomial using a Casio GDC calculator. 2. To solve an inverse binomial problem, you typically want to find the number of trials or proba

1. **Problem (e):** Find the probability that a person rides both Daifong and Torbellino. Since the probability of riding Torbellino is $0.61$ and the probability of riding Daifong

1. The mode of a data set is the value that appears most frequently. 2. To find the mode, first list all the numbers in the data set.

1. Stating the problem: We need to identify the letters on the chart that correspond to the height of the missing bars for Thursday's plums and kiwis sold. 2. Given data:

1. **State the problem:** We need to find the best scale for the vertical axis for test scores data: Wilfred: 23

1. Problem statement: Tracey says the number of male students is the same over the three years, and the number of female students increases each year. 2. Analyze each chart:

1. **State the problem:** We are given a survey of 750 people and the frequencies of their favourite ice cream flavours. 2. The frequencies are Vanilla: 262, Chocolate: 417, Strawb

1. Stating the problem: We are asked to organize given device access data into a frequency table including Device type, Tally, Frequency, and Relative frequency (%). 2. First, writ