Answered

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A data set is made up of these values.
3, 3, 4, 5, 6, 7, 10
Find the interquartile range.
A. 3 - 3 = 0
B. 10 - 7 = 3
C. 7 - 3 = 4
D. 10 - 3 = 7

A Data Set Is Made Up Of These Values 3 3 4 5 6 7 10 Find The Interquartile Range A 3 3 0 B 10 7 3 C 7 3 4 D 10 3 7 class=

Sagot :

MrRoyal

Answer:

C. 7 - 3 = 4

Step-by-step explanation:

Given

[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]

Required

The IQR

The IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where:

[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]

[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]

The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.

Split to two, we have:

[tex]Lower \to 3, 3, 4[/tex]

[tex]Median \to 5[/tex]

[tex]Upper \to 6, 7, 10[/tex]

The lower half has 3 data; So, the median is the 2nd position.

Hence:

[tex]Q_1 = 3[/tex]

The upper half has 3 data; So, the median is the 2nd position.

Hence:

[tex]Q_3 = 7[/tex]

So, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 7 - 3[/tex]

[tex]IQR = 4[/tex]

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