Answered: The boxes below contain 14 numbers,…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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Question

The boxes below contain 14 numbers, listed in order, of which 6 have been removed. Your job is to use the clues given to determine the missing numbers. Write your answers in the boxes.

Mean is 26
The median is 22
The interquartile range is 20
The mode is 18
The range is 60

Second assignment

1) Use Technology (Desmos Calculator) to create a dot plot that represents the distribution of the data. Then describe the shape of the distribution. (look at past notes about shapes)

6 14 11 8 13 10 10 12 12 10

7 11 9 11 9 11 9 8

2) Find the mean and the median of the data.

3) Find the mean and median of the data with 2 additional values included as described.

a) add 2 values to the original data set that are greater than 14.
b) add 2 values to the original data set that are less than 6.
c) Ass 1 value that is greater than 14 and 1 value that is less than 6 to the original data set.
d) Add the two values, 50 and 100. To the original data set.

4) What do you notice is happening with the mean and median based on the additional values?

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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