we are going to run a set of descriptive statistics to help describe our sample. For the following dataset, find the sample mean, median, mode, sample standard deviation, range, Q1, Q3, IQR: 30, 35, 27, 42, 50, 26, 23, 47, 23, 29, 41, 45, 21, 50, 47, 24, 26 Use the following calculator to help: https://www.calculatorsoup.com/calculators/statistics/descriptivestatistics.phpLinks to an external site. Answer the following questions Report your sample mean, median, mode, sample standard deviation, range, Q1, Q3, and IQR. Do not forget, we are looking at a sample set here, so we need to use the sample standard deviation. Compare the measures of center (mean, median, mode). How similar or different are they? Does the relationship between the mean and median tell us anything about the symmetry/skew of the dataset? Look at the measures of spread (standard deviation, range, IQR). How do these compare to one another? What do they tell us about the spread of our dataset?

Mean is the average of dataset. It is the sum of observations divided by the total number of…

Answered: we are going to run a set of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 6PPS

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Question

we are going to run a set of descriptive statistics to help describe our sample. For the following dataset, find the sample mean, median, mode, sample standard deviation, range, Q1, Q3, IQR:

30, 35, 27, 42, 50, 26, 23, 47, 23, 29, 41, 45, 21, 50, 47, 24, 26

Use the following calculator to help: https://www.calculatorsoup.com/calculators/statistics/descriptivestatistics.phpLinks to an external site.

Answer the following questions

Report your sample mean, median, mode, sample standard deviation, range, Q1, Q3, and IQR. Do not forget, we are looking at a sample set here, so we need to use the sample standard deviation.
Compare the measures of center (mean, median, mode). How similar or different are they? Does the relationship between the mean and median tell us anything about the symmetry/skew of the dataset?
Look at the measures of spread (standard deviation, range, IQR). How do these compare to one another? What do they tell us about the spread of our dataset?

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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