📊 statistics

1. **State the problem:** Find the lower quartile (Q1) and upper quartile (Q3) for the data set $4, 8, 2, 7, 10$ without a calculator. 2. **Sort the data:** Arrange the numbers in

1. **Calculer l'espérance mathématique et la variance de X** Soit $X$ une variable aléatoire suivant une loi de Poisson de paramètre $\lambda$. On sait que:

1. **State the problem:** We need to estimate the fraction of videos that are between 2 minutes and 3 minutes long, i.e., between 120 seconds and 180 seconds. 2. **Understand the d

1. The problem asks to create a double line graph showing the population of Los Angeles City and Los Angeles County from 1900 to 2000. 2. A double line graph plots two sets of data

1. We are given a frequency distribution table with values $x_i$ and frequencies $f_i$ and need to calculate the relative frequency ($rf_i$ in %), cumulative frequency ($cf_i$), an

1. **Stel het probleem vast:** We hebben een frequentietabel met waarden $x_i$ en frequenties $f_i$. We moeten de relatieve frequenties ($rf_i$), cumulatieve frequenties ($cf_i$) e

1. **State the problem:** We have 60 class sizes from statistics classes and need to construct a Frequency Distribution Table (FDT) and calculate mean, median, mode, variance, stan

1. **Stating the problem:** We need to find the mean absolute deviation (simpangan rata-rata) of the data set: 4, 3, 5, 7, 6. 2. **Formula:** The mean absolute deviation is given b

1. **Problem statement:** Calculate the arithmetic mean (average) of the monthly mean air temperatures given for each month of the year. 2. **Formula:** The arithmetic mean $\bar{x

1. **Stating the problem:** Determine the number of classes (bins) for data grouping using Sturges' formula given the smallest production is 200000 and the largest is 500000.

1. **Stating the problem:** We are given a frequency distribution of student scores and asked to find the mean deviation (rata-rata simpangan) from the mean. 2. **Data from the tab

1. **State the problem:** We need to estimate the number of slow worms whose length is more than one interquartile range (IQR) above the mean length. 2. **Recall the formula:** We

1. **Stating the problem:** Given the data set: 8, 6, 5, 9, 7, 6, 4, 5, 3, find the interquartile range (IQR).

1. **Stating the problem:** We want to test if the proportion of new electric cars bought in 2024 is different from 19.2% (the 2023 proportion). This is a hypothesis test for a pop

1. We are given five bar charts representing results of five tests, each with three bars of different heights. 2. The problem asks: Which chart(s) have a median greater than the me

1. **State the problem:** We are given a box-and-whisker plot showing the mass of parcels in kilograms. We need to find: (a) The mass of the heaviest parcel.

1. **State the problem:** We need to compute the F ratio for three groups of scores. 2. **Recall the formula:** The F ratio in ANOVA is given by

1. **State the problem:** We need to compute the F ratio for three groups of scores: Group 1: 10, 10, 9, 8, 11

1. **Problem Statement:** Calculate the mean, median, mode, range, variance, and standard deviation for the time (in minutes) it takes smokers to fall asleep given the data: 69.3,

1. **Problem Statement:** Given failure times at 75, 79, 83, and 85 hours, find the one-sided lower tolerance limit for 95% reliability with 90% confidence assuming normal distribu

1. **Problem statement:** We have a discrete random variable $R$ following a binomial distribution $R \sim B(n,p)$ with mean 200.