Calculate the third quartile Q3 for the following data: 13 6 7 8 8 923 4 4 5 5 5 6 730 2 4 643 4 7 951 2 1) 18 2) 43 3) 36 4) 39.5

Step 1 From the given data 13,16,17,18,18,19,23,24,24,25,25,25,26,27,30,32,34,36,43,44,47,49,51,52 here the data is arranged in ascending order Step 2 Q3=3(N+14)thterm Q3=3(24+14)thterm Q3=3(6.25)th term Q3=18.75th term Q3=18thterm+0.75 (difference between 19-th and 18-th term) Q3=36+0.75(43−36) Q3=41.25

Step by step solution to "Calculate the third quartile Q3 for the following..."

Mahagnazk

Answered question

2021-11-30

Calculate the third quartile Q3 for the following data:

\begin{array}{cc} 1 & 3 6 7 8 8 9 \\ 2 & 3 4 4 5 5 5 6 7 \\ 3 & 0 2 4 6 \\ 4 & 3 4 7 9 \\ 5 & 1 2 \end{array}

1) 18
2) 43
3) 36
4) 39.5

Answer & Explanation

Onlaceing

Beginner2021-12-01Added 15 answers

Step 1
From the given data
13,16,17,18,18,19,23,24,24,25,25,25,26,27,30,32,34,36,43,44,47,49,51,52 here the data is arranged in ascending order
Step 2

Q_{3} = 3 {(\frac{N + 1}{4})}^{t h} t e r m

Q_{3} = 3 {(\frac{24 + 1}{4})}^{t h} t e r m

Q_{3} = 3 {(6.25)}^{t h} t e r m Q_{3} = {18.75}^{t h} t e r m

Q_{3} = 18^{t h} t e r m + 0.75

(difference between 19-th and 18-th term)

Q_{3} = 36 + 0.75 (43 - 36)

Q_{3} = 41.25

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