Question

1.The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20.
Find the mode and median of the data. Are they same?

Answer 1

Answer:

Yes

Step-by-step explanation:

Arranging the scores in ascending order: 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

The median of a set of data is the middlemost number in the set and mode is the observation that

appears most frequently in a set.

As there are 15 items in the data, the median is the ( $\frac{15+1}{2}$ )th observation i.e. the 8th observation

from the data.

Hence, Median = 20

Also, it can be observed that 20 occurs 4 times (i.e. the maximum number of times) in the data.

⸫ Mode of this data = 20

Yes, they are the same.

Answer 2

Answer:

yes they are same