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. Social interactions in a week: x391517232635384348 Number of collegestudents: f1518181813143222 The mean is approximatelyenter your response here.(Round to the nearest tenth as needed.)The median isenter your response here.(Round to the nearest tenth as needed.)Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.The mode of the data is B.Mode: The midrange is

Answered: Image /qna-images/answer/d97fbd87-caf3-426e-a53d-4f62c14eda90.jpgSolution: x(1) Frequency (f) d=(x-A)/h =x-26A=26,h=1 f⋅d cf 3 15 -23 -345 15 9 18 -17 -306 33 15 18 -11 -198 51 17 18 -9 -162 69 23 13 -3 -39 82 26=A 14 0 0 96 35 3 9 27 99 38 2 12 24 101 43 2 17 34 103 48 2 22 44 105 n=105 ∑f⋅d=-921

Answered: The number of social interactions of…

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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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.

Social interactions in a week: x	3	9	15	17	23	26	35	38	43	48
Number of collegestudents: f	15	18	18	18	13	14	3	2	2	2

The mean is approximately

enter your response here.

(Round to the nearest tenth as needed.)

The median is

enter your response here.

(Round to the nearest tenth as needed.)

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The mode of the data is

Mode:

The midrange is

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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