📊 statistics
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Normal Distribution
1. The problem asks to identify the TRUE statement about the Normal Distribution from four options.
2. Recall key properties of the Normal Distribution:
Std Dev Percentage
1. **State the problem:** We have a data set: 16, 24, 12, 22, 28, 32, 26, 40, 18, 30, 38.
We want to find the percentage of values that lie within one standard deviation of the mea
Lottery Sales
1. **Problem Statement:**
We have a frequency distribution of lottery sales over 30 days with class intervals and number of days as frequencies.
Bmi Statistics
1. **Problem Statement:**
We have 120 BMI values from a 1998 survey. We need to:
Bmi Statistics
1. **Problem Statement:**
We have 120 BMI data values from a survey. We need to:
Multiple Linear Regression
1. **Problem Statement:**
We want to find the multiple linear regression equation that predicts Exam Score ($Y$) based on Hours Studied ($X_1$) and Hours of Sleep ($X_2$).
Plot Histogram
1. The problem is to understand how to plot a histogram.
2. A histogram is a graphical representation of data distribution, showing the frequency of data points within specified in
Distance Frequency
1. **Problem statement:** We have distances travelled to school by 26 students recorded in intervals. We need to complete the frequency table, draw a histogram, calculate a probabi
Data Analysis
1. The problem presents a list of five numeric values: 16,200; 10,600; 18,100; 20,200; and 16,800.
2. These numbers appear to be data points, possibly representing quantities or me
Questions Ratio
1. The problem asks for the ratio of the number of questions asked from "profit & loss and percentage" together in shift 1 to the number of questions asked from "profit & loss and
Basic Stats
1. The problem is to analyze the given list of numbers: 1.78, 12, 1.00, 3.56, 1.00, 1.00, 2.92, 1.78, 5.35, 12.27.
2. Since no specific operation is requested, let's explore some b
Central Tendency Dispersion
1. **Problem Statement:** We will learn about Measures of Central Tendency and Dispersion for grouped and ungrouped data, including how to calculate mean, identify modal and median
Box Plot Central
1. The problem asks: What feature of the box plot shows the central half of the data?
2. A box plot is a graphical representation of data distribution that highlights key statistic
Central Half Data
1. The central half of a data set typically refers to the middle 50% of the data when it is ordered from smallest to largest.
2. This is often represented by the interquartile rang
Box Plot Girls
1. **Problem Statement:**
We are given a box plot summary for girls' times in seconds with the following data:
Age Data Stats
1. **Problem Statement:** Given raw age data of people in a barangay, we need to find the Range, Quartile Deviation, Mean Absolute Deviation (MAD) for ungrouped and grouped data, S
Statistical Measures
1. **Problem Statement:** We are given raw age data of people in a barangay and asked to find various statistical measures including range, quartile deviation, mean absolute deviat
Staff Salary Stats
1. **Problem:** Find the mean, median, and mode of the staff salaries given the table.
**Step 1:** Calculate the total number of staff.
Weighted Mean
1. **State the problem:** We need to find the weighted mean price of bags sold at different prices and quantities.
2. **Formula for weighted mean:**
Data Statistics
1. **Stating the problem:**
We have a dataset of 51 daily test scores of students, with the lowest score 65 and the highest score 90.
Variables Summations Classification
1. **Distinguish between qualitative and quantitative variables:**
Qualitative variables describe categories or qualities (e.g., color, gender) and are non-numeric.