Check the solution to "The number of absent days a student had..."

aidmoon2x

Answered question

2021-12-06

The number of absent days a student had in the last five months are

{0, 4, 2, 0, 3}

. What is the approximate variance of this data?
F. 1.6
G. 1.8
H. 2.6
J. 2.8

Answer & Explanation

Supoilign1964

Beginner2021-12-07Added 19 answers

Step 1
Given
The number of absent days a student had in the last five month are

{0, 4, 2, 0, 3}

We find variance of this data

\Rightarrow μ = m e a n = \overset{―}{x} = \frac{0 + 4 + 2 + 0 + 3}{5} = \frac{9}{5} = 1.8

Step 2
variance

= \frac{1}{n} \sum_{i = 1}^{5} {(x_{i} - μ)}^{2} = \frac{1}{5} ({(0 - 1.8)}^{2} + {(4 - 1.8)}^{2} + {(2 - 1.8)}^{2} + {(0 - 1.8)}^{2} + {(3 - 1.8)}^{2})

= \frac{12.8}{5}

= 2.56

\approx 2.6

option (H)

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