for wich value k,7 is the mode of the following data 3,5,5,7,3,6,7,9,6,7,3,5,3,k
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It's because mode is reffered as the item appearing the most
Clearly, if 7 appears as the value of k, it will be considered as the mode of this data as it would be the only item appearing the maximum number of times!!.
I ain't sure that I'm correct...
Hope this helps!
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