Question

Find the mean, mode and median of this data. Are the three same?
3. Number of trees in eleven parks are as follows: 6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15​

Answer 1

Sorting this list in ascending order : 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120

Mean = 6+8+10+10+15+15+15+50+80+100+120/11

= 429/11

= 39.

Median = The Middle Observation = 15.

Mode = The observation occurred the highest number of times = 15.

or

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 429

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation2

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation2= 12 observation

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation2= 12 observation2

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation2= 12 observation2= 6 observation

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation2= 12 observation2= 6 observationThus, the 6th observation is 15

Arranging in ascending order = 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120Mean = 6+8+10+10+15+15+15+50+80+100+120/ 11= 42911= 39Mode = 15Median = (11+2) observation2= 12 observation2= 6 observationThus, the 6th observation is 15So, median = 15