National Park rangers keep data on the bears that inhabit their park. Below is a histogram of the weights of $143$ bears measured in a recent year.

Which statement below is correct?
(a) The median will lie in the interval ( $140, 180$ ), and the mean will lie in the interval ( $180, 220$ ).
(b) The median will lie in the interval ( $140, 180$ ), and the mean will lie in the interval ( $260, 300$ ).
(c) The median will lie in the interval ( $100, 140$ ), and the mean will lie in the interval ( $180, 220$ ).
(d) The mean will lie in the interval ( $140, 180$ ), and the median will lie in the interval ( $260, 300$ ).
(e) The mean will lie in the interval ( $100, 140$ ), and the median will lie in the interval ( $180, 200$ ).

Question

National Park rangers keep data on the bears that inhabit their park. Below is a histogram of the weights of $143$ bears measured in a recent year.

Which statement below is correct?
(a) The median will lie in the interval ( $140, 180$ ), and the mean will lie in the interval ( $180, 220$ ).
(b) The median will lie in the interval ( $140, 180$ ), and the mean will lie in the interval ( $260, 300$ ).
(c) The median will lie in the interval ( $100, 140$ ), and the mean will lie in the interval ( $180, 220$ ).
(d) The mean will lie in the interval ( $140, 180$ ), and the median will lie in the interval ( $260, 300$ ).
(e) The mean will lie in the interval ( $100, 140$ ), and the median will lie in the interval ( $180, 200$ ).

Accepted Answer

The correct statement is that the median will lie in the interval $(140, 180)$ and the mean will lie in the interval $(180, 220)$ i.e., correct option is (a).

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