Question

The number of cars crossing a bridge in a big city in 10 intervals of 5 minutes the record is as follows
25,15,18,30,20,20,12,9,16,15
Find geometric mean

Answer 1

Answer:

For our simplicity let us arrange the observation in ascending order i.e

9 12 15 15 16 18 20 20 25 30

1) Mean = \frac{Sum of observation}{Number of observation.}

Numberofobservation.

Sumofobservation

Now,

Sum of observation = 9+12+15+15+16+18+20+20+25+30=180

Number of observation = 10

Mean = 180/10 = 18

∴ Mean = 18

2) Median:

It is the middle most term. If it would be an odd term then the middle most term would be selected as the median but out no of observation is even so it is difficult to find the middle most term.

So for this two middle term are chosen and their average is found and that is called the median.

Middle term is 16 and 18

Average = \frac{16+18}{2}

2

16+18

= 34/2 = 17

∴ Median = 17