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Kamila [148]
4 years ago
5

find the lower quartile for the data {47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4}

Mathematics
1 answer:
mote1985 [20]4 years ago
3 0

Answer:

The lower quartile is 23.4

Step-by-step explanation:

The given data are;

47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4

Rearranging the data, we have;

5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4, 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2

The lower quartile, Q₁, is the (n + 1)/4 th term which is (16 +1)/4 = 4.25th term

However since we have an even set of numbers, we place a separator at the middle and we look for the median of the left half as follows

5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4║ 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2

We have two numbers (17.4 + 29.4) at the median of the left set of numbers, we find the average of the two numbers to get the lower quartile

The lower quartile is therefore = (17.4 + 29.4)/2 = 23.4.

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8 0
3 years ago
Which table shows a proportional relationship between x and y ?
insens350 [35]

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

k = \frac{y}{x}

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

k = \frac{y}{x}

k = \frac{4}{2}

k = 2

x = 4, y = 9

k = \frac{y}{x}

k = \frac{9}{4}

k = 2.25

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

k = \frac{y}{x}

k = \frac{4}{3}

k = 1.33

x = 9, y = 16

k = \frac{y}{x}

k = \frac{16}{9}

k = 1.78

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

k = \frac{y}{x}

k = \frac{12}{4}

k = 3

x = 5, y = 15

k = \frac{y}{x}

k = \frac{15}{5}

k = 3

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k = \frac{y}{x}

k = \frac{18}{6}

k = 3

This shows a proportional relationship because all values of k are the same for this table

7 0
3 years ago
Addison's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 70 espressos in all
Valentin [98]

Answer:

The number of single-shot espressos sold by the cafe was 49.

Step-by-step explanation:

It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.

Total number of espressos sold by the cafe yesterday afternoon was,

<em>N</em> = 70

The proportion of single-shot espresso sold was, <em>p</em> = 0.70.

Let <em>X</em> = number of single-shot espressos sold.

Compute the number of single-shot espressos sold by the cafe as follows:

E(X)=N\times p

         =70\times 0.70\\=49

Thus, the number of single-shot espressos sold by the cafe was 49.

6 0
3 years ago
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ohaa [14]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Answer:  6x - 7y = 21

Step-by-step explanation:

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8 0
3 years ago
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