At the end of a school day, the Headmaster conducted a survey asking students in how many classes they had used the internet. The data is shown in the following table. number in classes in which the students used internet 0123456number of students20 2430 k 10 3 1 The mean of classes in which a student used the internet is 2 Find the value of k

The objective of the question is to find the value of 'k' which represents the number of students who used the internet in 3 classes. The mean of classes in which a student used the internet is given as 2.The mean is calculated by dividing the sum of all values by the total number of values. In this case, the mean is the total number of classes in which the internet was used divided by the total number of students.First, we need to calculate the total number of classes in which the internet was used. This can be done by multiplying the number of classes with the number of students and then adding all these products together. So, the total number of classes = (0*20) + (1*24) + (2*30) + (3*k) + (4*10) + (5*3) + (6*1) = 0 + 24 + 60 + 3k + 40 + 15 + 6 = 145 + 3k.Next, we need to calculate the total number of students. This is the sum of all the students in each category. So, the total number of students = 20 + 24 + 30 + k + 10 + 3 + 1 = 88 + k.Since the mean is given as 2, we can set up the equation for the mean and solve for 'k'. The equation for the mean is: Mean = Total number of classes / Total number of students. Substituting the given mean and the calculated totals, we get: 2 = (145 + 3k) / (88 + k).To solve for 'k', first multiply both sides of the equation by (88 + k) to get rid of the denominator on the right side. This gives: 2*(88 + k) = 145 + 3k.Simplify the equation to get: 176 + 2k = 145 + 3k.Subtract 2k from both sides to get: 176 = 145 + k.Finally, subtract 145 from both sides to solve for 'k': k = 176 - 145 = 31.The value of 'k', which represents the number of students who used the internet in 3 classes, is 31. This was determined by setting up and solving an equation for the mean number of classes in which a student used the internet.

Answered: At the end of a school day, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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At the end of a school day, the Headmaster conducted a survey asking students in how many classes they had used the internet. The data is shown in the following table.

number in classes in which the students used internet	0	1	2	3	4	5	6
number of students	20	24	30	k	10	3	1

The mean of classes in which a student used the internet is 2

Find the value of k

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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