Question

11)The scores in mathematics test (out of 25) of students is as follows.

19, 25, 24, 23, 20, 24, 24, 20, 19, 24, 25, 11, 14, 24, 25, 24, 20, 24, 20, 20, 19, 20, 24, 25, 24

Find the mean, mode and median of following data.​

Answer 1

Answer:

Mean = 21.64 marks

Mode = 24 marks

Median = 24 marks.

Step-by-step explanation:

To find mean:

Sigma (xifi) = 11+14+57+120+23+216+100 = 541

Sigma (fi) = 1+1+3+6+1+9+4 = 25.

Mean = Sigma (xifi) ÷ Sigma (fi) = 541/25 = 21.64 marks.

To find Mode:

Mode = Score with the highest frequency = 24 marks.

To find Median:

When arranged in ascending order :

11, 14, 19, 19, 19, 20, 20, 20, 20, 20, 20, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 35, 25.

Total no. of observations, 'n' = 25. Since 25 is an odd number,

Median = [(n+1)/2] th observation = [(25+1)/2] th observation = 13th observation = 24 marks.