The given graph represents the data on the ages of various children with the following distribution:

Age (in years): 1, 2, 3, 4, 5
Number of children: 20, 50, 70, 50, 20

What is the difference between the mean and mode of the ages?![Screenshot 2025-05-08 214556.png](https://res.cloudinary.com/aptidude/image/upload/v1746720970/aptidude_questions/byvitrmni2i08aaqwq0e.png)

Question

The given graph represents the data on the ages of various children with the following distribution:

Age (in years): 1, 2, 3, 4, 5
Number of children: 20, 50, 70, 50, 20

What is the difference between the mean and mode of the ages?![Screenshot 2025-05-08 214556.png](https://res.cloudinary.com/aptidude/image/upload/v1746720970/aptidude_questions/byvitrmni2i08aaqwq0e.png)

Accepted Answer

Step 1: Identify the data points and their frequencies:
Ages: 1, 2, 3, 4, 5
Number of children: 20, 50, 70, 50, 20

Step 2: Calculate the mean:
Mean = (Sum of (age × frequency)) / Total number of children
= (1×20 + 2×50 + 3×70 + 4×50 + 5×20) / (20 + 50 + 70 + 50 + 20)
= (20 + 100 + 210 + 200 + 100) / 210
= 630 / 210
= 3

Step 3: Identify the mode:
The mode is the value with the highest frequency.
Highest frequency is 70 for age 3.
So, mode = 3

Step 4: Calculate the difference between mean and mode:
Difference = Mean - Mode = 3 - 3 = 0

Therefore, the difference between the mean and mode of the ages is 0.

Answer

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