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dem82 [27]
3 years ago
10

Which characteristics best describe the undefined concept?

Mathematics
1 answer:
never [62]3 years ago
4 0
Line. A line would have a length but has no width
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The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-gr
postnew [5]

Answer:

Only 60 is an identified outlier

Step-by-step explanation:

Given

<u>Age group: 40 to 50</u>

Min = 60           Q_1 = 70           Median= 73

Q_3 = 76              Max = 85

<u>Conditions for outlier</u>

Value > Q_3 + 1.5 * IQR

Value < Q_1 - 1.5 * IQR

<em>See attachment for complete question</em>

<u>Required</u>

Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years

First, calculate the IQR of group 40 to 50.

This is calculated as:

IQR = Q_3 - Q_1

Where:

Q_3 = 76 and Q_1 = 70

So:

IQR = 76 - 70

IQR = 6

<em>Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)</em>

<u></u>

<u>Testing 60</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

60 > 76 + 1.5 * 6

60 > 76 + 9

60 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

60 < 70 - 1.5 * 6

60 < 70 - 9

60 < 61 --- True

<em>Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years</em>

<em></em>

<u>Testing 62</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

62> 76 + 1.5 * 6

62 > 76 + 9

62 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

62 < 70 - 1.5 * 6

62 < 70 - 9

62 < 61 --- False

<em>Because both conditions are false, then 62 is  not an outlier of group 40 - 50 years</em>

<em></em>

<u>Testing 84</u>

<u>Condition 1</u>

Value > Q_3 + 1.5 * IQR

84> 76 + 1.5 * 6

84 > 76 + 9

84 > 85 --- False

<u>Condition 2</u>

Value < Q_1 - 1.5 * IQR

84 < 70 - 1.5 * 6

84 < 70 - 9

84 < 61 --- False

<em>Because both conditions are false, then 84 is  not an outlier of group 40 - 50 years</em>

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