Author: Saim Khalid

Introduction In this lesson, we solve problems involving, the sample size, sum of a data set and its mean. Any two of these three quantities are given and we find the third unknown quantity using the relation between these 3 quantities. Formula Example 1 The average of x and 3 is equal to the average…

Introduction Symmetrical distribution is a situation in which the values of variables occur at regular frequencies, and the mean, median and mode occur at the same point. Unlike asymmetrical distribution, symmetrical distribution does not skew. Example 1 Find the mean of the following symmetric distribution. 1, 1, 4, 4, 5, 6, 7, 7, 10, 10…

Introduction In this lesson we understand the mean of a dataset using graphical method. Suppose we are given a bar graph showing two bars of data. Here we are required to find the mean of given data graphically. Rules to find the mean graphically Example 1 The two bars in a bar graph have heights…

Introduction A line plot of a data set shows the various numbers of the data set along the x axis as per a convenient scale. It also shows the number of occurrences of each of the numbers as crosses. The smallest and largest numbers among the data set also find a place on the line…

Introduction Range is a measure of variance of the data. The measure of centre gives an average value of the data set while the range gives a measure of how far the data is spread out. Rules to find the range of a data set Example 1 Find the mode and range of the set…

Introduction Themodeof a set of data is the value in the set that occurs most often. Mode is the most commonly occurring data point in the data set or the one with highest frequency. Consider the data set 12, 17, 21, 31, 35, 17, 37 Here 17 occurs twice. All other numbers occur one time…

This tutorial provides comprehensive coverage of Mean, Median, and Mode based on Common Core CCSS and State Standards and its prerequisites. Students can navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. This simple tutorial uses appropriate examples to help you understand Mean, Median, and…

Definition We combine the order operations PEMDAS with adding, subtracting, multiplying, and dividing fractions. Rules for Order of Operations with Fractions Consider the following problems involving PEMDAS with adding, subtracting, multiplying, and dividing fractions. Example 1 Evaluate 45[17−32(14)2] Solution Step 1: As per the PEMDAS rule of operations on fractions we simplify the brackets or the parentheses first.…

Definition Rules to convert a decimal to a mixed number and an improper fraction in simplest form. Example 1 Convert 6.8 to a mixed number and an improper fraction in simplest form. Solution Step 1: The decimal 6.8 is read as 6 and 8 tenths. So, it can be written as a mixed number 6810. Step…

Definition To convert a decimal into a mixed number and an improper fraction without simplifying. We can follow two methods. Method 1 We read the decimal and write it as a mixed number and an improper fraction as shown in this example. Convert 13.06 into a mixed number and an improper fraction without simplifying. Method…