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kolezko [41]
2 years ago
12

in a rock concert ,2/7 of spectators purchased 1000rs tickets while remaining 15000 purchased 500rs tickets. how many spectators

viewed the concert
Mathematics
2 answers:
sweet-ann [11.9K]2 years ago
8 0
[tex]15000= \frac{5}{7}*x[\tex]
[tex]x=15000* \frac{7}{5}=21,000[\tex] 

Check 21,000 * 2/7 = 6.000 and 6,000 + 15,000 = 21,000
forsale [732]2 years ago
4 0
2/7 purchased 1000...therefore, 5/7 purchases 500...and 5/7 is 15000 people.
so 5/7 of what = 15000
5/7x = 15000
x = 15000 * 7/5
x = 105000/5
x = 21000 people viewed the concert
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Range = 16

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Variance = 20.44

Standard\ Deviation = 4.52

Step-by-step explanation:

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Range = Highest - Lowest

From the given data;

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Calculating the Inter-quartile Range

Inter quartile range (IQR) is calculates as thus

IQR = Q_3 - Q_1

Where

Q3 = Upper Quartile and Q1 = Lower Quartile

<em />

<em>Start by arranging the data in ascending order</em>

1, 3, 4, 5, 6, 9, 9, 10, 12, 17

N = Number of data; N = 10

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Calculating Q3

Q_3 = \frac{3}{4}(N+1) th\ item

<em>Substitute 10 for N</em>

Q_3 = \frac{3}{4}(10+1) th\ item

Q_3 = \frac{3}{4}(11) th\ item

Q_3 = \frac{33}{4} th\ item

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Express 8.25 as 8 + 0.25

Q_3 = (8 + 0.25) th\ item

Q_3 = 8th\ item + 0.25 th\ item

Express 0.25 as fraction

Q_3 = 8th\ item +\frac{1}{4} th\ item

Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)

From the arranged data;

8th\ item = 10 and 9th\ item = 12

Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)

Q_3 = 10 +\frac{1}{4} (12 - 10)

Q_3 = 10 +\frac{1}{4} (2)

Q_3 = 10 +0.5

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Calculating Q1

Q_1 = \frac{1}{4}(N+1) th\ item

<em>Substitute 10 for N</em>

Q_1 = \frac{1}{4}(10+1) th\ item

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Express 0.75 as fraction

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Q_1 = 3 +\frac{3}{4} (4 - 3)

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Q_1 = 3 +0.75

Q_1 = 3 .75

---------------------------------------------------------------------------------

Recall that

IQR = Q_3 - Q_1

IQR = 10.5 - 3.75

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Calculating Variance

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Mean = \frac{76}{10}

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(6 - 7.6)^2 = (-1.6)^2 = 2.56

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(9 - 7.6)^2 = (1.4)^2 = 1.96

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(12 - 7.6)^2 = (4.4)^2 = 19.36

(17 - 7.6)^2 = (9.4)^2 = 88.36

Sum the result

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Divide by number of observation;

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Variance = 20.44

Calculating Standard Deviation (SD)

SD = \sqrt{Variance}

SD = \sqrt{20.44}

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