Answer:
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.
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1 The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
2 The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
3 The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
4 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.
5 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.
Explanation:
Yard works has...
mean=8
median=7
mode=7
range=11
because in order it is 5 7 7 9 12
(5+7+7+9+12)/5=8
5 7( 7 )9 12 is the median
and seven occurs the most
and with this logic...
THE GROWSTATION has a
mean=9
median=9
mode=n/a
range=6
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YEA) The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
YEA) The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
YEA) 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.
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A B C