Math Problem Statement

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Work Sheet (Assignment)
Submit online by: Sunday, 5th January 2025.

Note: Solve the problems individually, after preparing the respective chapters. Clearly mention your name & section on your assignment (submit either typed or snapshots of handwritten solution). Link for submission will be shared with you through WhatsApp.

Chapter 01
Q.No.1
i) Consider the following data set: 17, 24, 21, 22, 26, 22, 19, 21, 23, 11, 19, 14, 23, 25, 26, 15, 17, 26, 21, 18, 19, 21, 24, 18, 16, 20, 21, 20, 23, 33
Draw a histogram and determine whether the shape of the distribution is right-skewed, left-skewed, or symmetric.
Compute sample means and sample medians. Do they support your findings about skewness and symmetry? How?

ii) The following data set represents the number of new computer accounts registered during ten consecutive days:
43, 37, 50, 51, 58, 105, 52, 45, 45, 10.
Compute the mean, median, quartiles, and standard deviation. Check for outliers using the 1.5(IQR) rule.


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Math Problem Analysis

Mathematical Concepts

Statistics
Data Distribution
Descriptive Statistics
Outliers

Formulas

Histogram
Sample Mean = Σx / n
Sample Median
Quartiles
Standard Deviation (s) = sqrt(Σ(xi - x̄)² / (n - 1))
IQR (Interquartile Range) = Q3 - Q1
Outlier Detection: Lower bound = Q1 - 1.5 * IQR, Upper bound = Q3 + 1.5 * IQR

Theorems

Central Limit Theorem
Empirical Rule
Outlier Detection Rule

Suitable Grade Level

Grades 9-12