Which data set has the same range as the box-and-whisker plot shown?
14, 26, 32, 20 14, 26,
32, 20 64, 60, 62, 63,
63, 65 64, 60,
62, 63, 63, 65 19,
16, 26, 18, 23 19,
16, 26, 18, 23 11, 9,
15, 14, 9, 12
The data set that has the same range as the given box-and-whisker plot is:
64, 60, 62, 63, 63, 65
The variance of a data set is 4. What is the standard deviation? (1 point) Responses 2 2 4 4 8 8 16
The standard deviation is usually calculated as the square root of the variance.
Given that the variance is 4, the standard deviation would be √4, which equals 2.
Therefore, the correct response is 2.
To determine which data set has the same range as the given box-and-whisker plot, we need to calculate the range of the data set in the box-and-whisker plot.
The range is the difference between the maximum value and the minimum value in the data set.
Looking at the box-and-whisker plot, we can see that the left whisker extends to the minimum value (14) and the right whisker extends to the maximum value (32).
Therefore, the range of the data in the box-and-whisker plot is 32 - 14 = 18.
Now, let's calculate the range for each of the given data sets:
Data set 1: 14, 26, 32, 20
Range = 32 - 14 = 18
Data set 2: 64, 60, 62, 63, 63, 65
Range = 65 - 60 = 5
Data set 3: 19, 16, 26, 18, 23
Range = 26 - 16 = 10
Data set 4: 11, 9, 15, 14, 9, 12
Range = 15 - 9 = 6
Comparing the ranges, we can see that only Data set 1 has the same range (18) as the box-and-whisker plot.
To find the data set that has the same range as the box-and-whisker plot shown, we need to first understand what range means in this context.
Range refers to the difference between the largest and smallest values in a data set. In a box-and-whisker plot, the "whiskers" extend from the box to the minimum and maximum values, representing the range.
Let's find the range for the given box-and-whisker plot:
14, 26, 32, 20
The smallest value is 14, and the largest value is 32. Therefore, the range is 32 - 14 = 18.
Now, let's calculate the range for each of the data sets provided and see which one matches the range of 18:
Data set 1: 14, 26, 32, 20
Range: 32 - 14 = 18 (matches)
Data set 2: 64, 60, 62, 63, 63, 65
Range: 65 - 60 = 5 (does not match)
Data set 3: 19, 16, 26, 18, 23
Range: 26 - 16 = 10 (does not match)
Data set 4: 11, 9, 15, 14, 9, 12
Range: 15 - 9 = 6 (does not match)
Thus, the data set that has the same range as the box-and-whisker plot shown is the first data set: 14, 26, 32, 20.