Question

find the median and mode of the following data 19,25,9,20,23,20,15,5,10,16,20,25,24,12,20,​

Answer 1

Answer:

Step-by-step explanation:

Scores of 15 students in mathematics test are: 19,25,9,20,23,20,15,5,10,16,20,25,24,12,20,

Arranging scores in ascending order, we get

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20 , 23, 24, 25, 25

Mode - Mode of a given data is that value of observation that has the maximum occurrence or repetition i.e., most frequent.

Therefore, 20 has the highest occurrence.

∴ Mode = 20.

We have 15 observations given in total. Hence, the midmost observation will be the 8th observation.

Median = Middlemost observation (in this case, 8th observation)

∴ Median = 20

Yes, the mode and median of the given observations are the same.