Given below is the data of the ages of various children.
|
Age (Years) |
Number of children |
|
6 |
17 |
|
7 |
16 |
|
8 |
16 |
|
9 |
17 |
|
10 |
19 |
|
11 |
15 |
What is the difference between the mean and mode of the ages?
Answer & explanation
Correct answer: option 1
Total number of children = 17 + 16 + 16 + 17 + 19 + 15 = 100
Mean of age = \(\frac{ 6×17+7×16+8×16+9×17+10×19+11×15 }{100}\)
= \(\frac{ 102+112+128+153+190+165 }{100}\)
= \(\frac{ 850 }{100}\)
= 8.5
Mode = 10 ( Because 10 hase highest frequency i.e. 19 )
Difference b/w mean and mode = 10 - 8.5 = 1.5