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The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12,5
The Grow Station: 9, 11, 6, 12, 7
Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree
heights at The Grow Station.
The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree
heights at The Grow Station.

Respuesta :

Answer:

The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.

The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.

The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station

The mean of the tree heights at Yard Works is less than that of The Grow Station.

The range of the tree heights at Yard Works is greater than that of The Grow Station.

The mean absolute deviation of Yard Works and The grow station are equal.

What are the measures of center and variability of the data sets?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Yard Works: (7+ 9 + 7 + 12 + 5) / 5 = 8

The Grow Station: (9+ 11 + 6 + 12 +  7)/ 5 = 9

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Yard Works: 12 - 5 = 7

The Grow Station: 12 - 6 = 6

Mean absolute deviation for The Grow Station: |(9 - 9) + (11 - 9) + (6 - 9) + (12 - 9) + (7 - 9)| / 5 = 2

Mean absolute deviation for Yard Works: |(7 - 8) + (9 -  8) + (7 - 8) + (12 - 8) + (5 - 8)| / 5 = 2

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Median of Yard works : 5, 7, 7, 9, 12 = 7

Median of The Grow Station: 6, 7, 9, 11, 12 = 9

To learn more about mean, please check: https://brainly.com/question/25842202

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