20: find the mean, median, mode and midrange The number of social interactions of ten minutes or longer over a one-week period for a group of college students isgiven in the following frequency table. (These interactions excluded family and work situations.) Find the mean,median, mode, and midrange for these data.5 7 12 19 21 29 30 38Social interactions ina week: xNumber of collegestudents: f15 18 18 18 13The mean is approximately(Round to the nearest tenth as needed.)aW146LO45 465сл567°F Clear4x3:11 AM9/29/2022

Given data is Social interaction in a week :x No. of collage students : f 5 15 7 18 12 18…

Answered: The number of social interactions of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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20: find the mean, median, mode and midrange

The number of social interactions of ten minutes or longer over a one-week period for a group of college students is
given in the following frequency table. (These interactions excluded family and work situations.) Find the mean,
median, mode, and midrange for these data.
5 7 12 19 21 29 30 38
Social interactions in
a week: x
Number of college
students: f
15 18 18 18 13
The mean is approximately
(Round to the nearest tenth as needed.)
a
W
14
6
LO
45 46
5
сл
5
67°F Clear
4x
3:11 AM
9/29/2022

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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