The correct option is
B Mode of the number of cups of hot chocolate consumed will remain the same.
Below is the given data set for the number of cups of hot chocolate consumed by 6 owls.
We can see that the data value
8 for the number of cups consumed by Alex is an outlier here.
Calculation of Mean:––––––––––––––––––––––––––
Mean of number of cups
including Alex's consumption is
1+2+3+2+3+86=196=3.1¯6
Mean of number of cups
excluding Alex's consumption is
1+2+3+2+35=115=2.2
Hence, if Alex's consumption is ignored, the mean of the number of cups consumed will decrease.
∴Option (c.) is incorrect.––––––––––––––––––––––––––
Calculation of Median:––––––––––––––––––––––––––––
The given ordered data set is
Median of the number of cups including Alex's consumption is
2+32=52=2.5
Median of the number of cups excluding Alex's consumption is
2.
Hence, if Alex's consumption is ignored, the median of the number of cups consumed will decrease.
∴Option (a.) is incorrect.––––––––––––––––––––––––––
Calculation of Mode:––––––––––––––––––––––––––
The given ordered data set is
Here, the numbers
2 and
3 occur twice, which is the maximum number of occurrence.
Modes of number of cups including Alex's consumption are
2 and 3.
Modes of number of cups excluding Alex's consumption are also
2 and 3.
Hence, if Alex's consumption is ignored, the mode of the number of cups consumed will remain the same.
∴Option (b.) is CORRECT.–––––––––––––––––––––––––––––