📊 statistics

1. **State the problem:** We are given a list of 23 data points representing the time spent by pupils practising times tables. We need to find the interquartile range (IQR), which

1. **State the problem:** We have a frequency table of running times for 50 athletes with class intervals and frequencies given. We need to complete the cumulative frequency table.

1. **State the problem:** We have a frequency distribution of plant heights in intervals and need to complete the histogram by calculating the density for each interval. 2. **Recal

1. **State the problem:** We need to estimate the mean size of the offices using the histogram data. 2. **Understand the histogram:** The histogram shows frequency density on the y

1. **Stating the problem:** We are given a list of numbers and we want to analyze them statistically. A common first step is to find the mean (average) of the data set. 2. **Formul

1. The problem asks to find the mean, median, maximum, minimum, mid-range, range, and standard deviation of a data set. 2. However, the data set values are not provided in the prom

1. **State the problem:** We have the number of students who voted for each subject: Reading = $40$, Science = $35$, Math = $45$, Writing = $20$. 2. **Find how many students chose

1. **State the problem:** We have raw scores of 70 students and need to calculate ungrouped data measures (D3, P90, Q2), construct a frequency distribution table, and calculate gro

1. **State the problem:** Calculate the population variance ($\sigma^2$), sample variance ($s^2$), population standard deviation ($\sigma$), sample standard deviation ($s$), quarti

1. **State the problem:** We need to analyze the scatter plot data from 15 trials to determine which two statements best describe the data about the effectiveness of a chemical com

1. **State the problem:** We are given the weights of 6 dogs and one unknown weight. The weights are $66$, $8$, $12$, $74$, $35$, $66$, and one unknown value represented by $?$. We

1. **State the problem:** We need to find the average rate of change in the median age of American men at first marriage from the year $1930$ to $1960$. 2. **Formula for average ra

1. **State the problem:** We need to estimate the interquartile range (IQR) of the tree trunk circumferences from the cumulative frequency graph. 2. **Recall the formula:** The int

1. **State the problem:** We are given a histogram with class intervals and their frequencies. We need to find the class width and the sample size. 2. **Find the class width:** The

1. **State the problem:** We are given a data set of 54 values and need to find the first quartile ($Q_1$), third quartile ($Q_3$), and the interquartile range (IQR). 2. **Organize

1. **State the problem:** We are given a data set and asked to find the third quartile $Q_3$ and the interquartile range $IQR$ given that the first quartile $Q_1 = 398.3$. 2. **Rec

1. **State the problem:** We want to find the approximate percentage of 1-mile long roadways with potholes numbering between $46$ and $61$ given a normal distribution with mean $\m

1. **State the problem:** We have data for 4 sections (Venus, Jupiter, Mars, Neptune) with the number of students, passed, and failed. We need to calculate the Passing % and Remark

1. **State the problem:** We need to create a stem-and-leaf plot for the given data set:

1. **Find the Z-Score for $\mu = 34$, $\sigma = 5.1$, $x = 17$** The formula for the Z-Score is:

1. **State the problem:** We need to find the central angle of the horror section in a pie chart representing the favourite film genres of 800 people. 2. **Formula for central angl