Question

two numbers 2,5 are added to a data 2 5 2 1 1 5 9 8 2 .is mode of the data changes explain​

Answer 1

No
It remains 9 as 9 is still the highest number in the given data

Answer 2

When two numbers 2, 5 are added to the given data, the mode does not change. It remains same.

From the given data, we have

x      f

1      2

2     3

5     2

8     1

9     1

• Mode is the observation with highest frequency.
• From the given data, 2 has the highest frequency i.e, 3.
• Therefore, 2 is the mode of the data.
• When 2, 5 are added to the data, the frequency of 2 changes to 4 and that of 5 increases to 3.
• Hence, frequency of 2 is still the highest and it is the mode even after adding 2,5.