Question

Find mode and mean of the given data:

{62, 67, 56, 67, 81, 71, 71, 67, 81, 65}

1. Mean = 68.8, Mode = 67
2. Mean = 71, Mode = 68.8
3. Mean = 70.3, Mode = 71
4. Mean = 71, Mode = 70.3

Answer 1

Correct Answer - Option 1 : Mean = 68.8, Mode = 67

Given:

62, 67, 56, 67, 81, 71, 71, 67, 81, 65

Concept used:

Mode is the most repeated value in a data

Formula used:

Mean = Sum of numbers / Number of observations

Calculations:

Arranging the numbers in ascending order

56, 62, 65, 67, 67, 67, 71, 71, 81, 81

Mean = (56 + 62 + 65 + 67 + 67 + 67 + 71 + 71 + 81 + 81)/10

⇒ 688/10

⇒ 68.8

In the given data, most repeated value = Mode = 67

∴ The mean and mode is 68.8 and 67 respectively