Question

The number of students who dropped out of the Perkins School District for the first ten (10) months of 2019 were as follows: 26, 31, 24, 36, 29, 24, 27, 18, 28, 8;33 Determine the following: a. Range b. Mean c. Median d. Mode e. Variance f. Standard Deviation

Answer 1

a)

Range = Highest value - lowest value = 36 - 8 = 28

b)

Mean = X /n = 284 / 11 = 25.82

c)

Write data in ascending order

8, 18, 24, 24, 26, 27, 28, 29, 31, 33, 36

median = ( n + 1) / 2 th observation

= (11 +1) / 2

= 6 th observation

= 27

d)

Mode = Data with most repetitions

= 24 (Appeared twice)

e)

Variance = ( X² - n * mean² ) / n -1

= ( 7916 - 11 * 25.82² ) / 10

= 58.36

f)

Standard deviation = sqrt ( variance)

= sqrt ( 58.36 )

= 7.64