Question

the score in mathematics test out of 30 of 15 students as for 201 8 19 23 21 the 17 25 19 18 19 20 15 17 19 26 find the mode and the median of these data are the same​

Answer 1

Answer: ANSWER:

Arranging the given scores in an Ascending Order, we get

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

Mode,

Mode is the value of the variable which occurs most frequently.

Clearly, 20 occurs maximum number of times.

Hence, mode of the given Sores is 20

Median,

The value of the middle-most observation is called the Median of the data.

Here n = 15, which is odd.

Where, n is the number of the students.

∴median = value of ½ (n + 1)th observation.

= ½ (15 + 1)

= ½ (16)

= 16/2

= 8

Then, value of 8th term = 20

Hence, the Median is 20.

Yes, both the values are same.