In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the data set 2, 2, 3, 6, 10. A USE SALT (a) Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean (b) Add 3 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in a set? Adding the same constant c to each data value results in the mode, median, and mean remaining the same. O Adding the same constant c to each data value results in the mode, median, and mean increasing by c units. There is no distinct pattern when the same constant is added to each data value in a set. O Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units.
In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the data set 2, 2, 3, 6, 10. A USE SALT (a) Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean (b) Add 3 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in a set? Adding the same constant c to each data value results in the mode, median, and mean remaining the same. O Adding the same constant c to each data value results in the mode, median, and mean increasing by c units. There is no distinct pattern when the same constant is added to each data value in a set. O Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Question
Transcribed Image Text:In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the
data set 2, 2, 3, 6, 10.
In USE SALT
(a) Compute the mode, median, and mean. (Enter your answers to one decimal place.)
mode
median
mean
(b) Add 3 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.)
mode
median
mean
(c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the
same constant is added to each data value in a set?
Adding the same constant c to each data value results in the mode, median, and mean remaining the same.
Adding the same constant c to each data value results in the mode, median, and mean increasing by c units.
There is no distinct pattern when the same constant is added to each data value in a set.
Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units.
Expert Solution
Step 1
Mean, median and mode are the measures of central tendency.
Mean is the average of the values and is calculated as the sum of all values divided by the total number of values.
Median is the middle most value.
Mode is the value with highest frequency.
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