Answer:
(B) the mean is less than the mode and less than the median.
Step-by-step explanation:
Mean, Median, Mode is used to calculate the central tendency of the distribution.
Mean is defined as,
∴ Mean = 5
Median is the middle observation of the distribution after arranging it in ascending or descending order.
So, arranging distribution in ascending order we get,
$1, $2, $4, $6, $7, $7, $8
Also, a number of observation is 7 which is an odd number.
Hence,
⇒
⇒ Median = 4th term = 6
Mode is the observation which has highest frequency.
Here, only $7 is repeated 2 times.
Hence, Mode = 7.
Hence, we see that Mean < Median < Mode
So, Option (B) is correct i.e. mean is less than the mode and less than the median.