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3 years ago

What is the first quartile of this data set

Mathematics

2 answers:

Artemon [7]3 years ago

5 0

Answer:

The correct option is C.

Step-by-step explanation:

The given data set is

10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38

Divide the data in two equal parts.

(10, 11, 12, 15, 17), 19, (22, 24, 29, 33, 38)

Divide each parenthesis in two equal parts.

(10, 11), 12, (15, 17), 19, (22, 24), 29, (33, 38)

The first quartile is 12, second quartile or median is 19 and third quartile is 29.

Since the first quartile of the data set is 12 Therefore, the correct option is C.

adelina 88 [10]3 years ago

3 0

Answer:

C:12

Step-by-step explanation:

should be 13.5

The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.

so the middle number of 10,11,12,15,17,19 is 13.5 since 12+15=27/2=13.5

the closest answer choice is C! Hope this helped!

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Answer:

5/6

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3 years ago

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Greeley [361]

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Step-by-step explanation:

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3 years ago

is a 50 percent increase followed by a 33 1/2 percent decrease same less or greatter than the original value

Nitella [24]

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3 years ago

A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot

mixer [17]

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X Frequency

8 0

8.1 0

8.2 2

8.3 2

8.4 2

8.5 3

8.6 0

8.7 1

8.8 0

8.9 1

9 0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart)
First Quartile (shown by the bottom line of the box)
Median (or the second quartile) (shown as a line in the center of the box)
Third Quartile (shown by the top line of the box)
Maximum (shown at the top of the chart).

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

$[\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3$ ,

Q₁ = 8.3.

The median value is,

$[\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4$

Median = 8.4

The upper quartile is,

$[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5$ ,

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

5 0

3 years ago