Math / Data & Statistics

QuestionWhat are the medians of the two datasets listed? Dataset 1: $(5,19,14,3,8,14,25,0,3,5,1)$ Dataset 2: $(5,19,14,3,8,14,25,0,3,5,1,7)$ (1 point)
Dataset 1: $\square$
Dataset 2: $\square$

Studdy Solution

STEP 1

1. Dataset 1 contains eleven data points: $5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1$ .
2. Dataset 2 contains twelve data points: $5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7$ .
3. The median of a set with an odd number of elements is the middle value.
4. The median of a set with an even number of elements is the average of the two middle values.

STEP 2

1. Order the data points in Dataset 1.
2. Determine the median of Dataset 1.
3. Order the data points in Dataset 2.
4. Determine the median of Dataset 2.

STEP 3

List the data points in Dataset 1:
$5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1$

STEP 4

Order the data points in Dataset 1:
$0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25$

STEP 5

There are eleven data points in Dataset 1, so the median is the middle value. The middle of 11 values is the 6th value.
$5$

STEP 6

List the data points in Dataset 2:
$5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7$

STEP 7

Order the data points in Dataset 2:
$0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25$

STEP 8

There are twelve data points in Dataset 2, so the median is the average of the two middle values. The middle values are the 6th and 7th values.
$\frac{5 + 7}{2} = 6$
The medians are:
Dataset 1: $\boxed{5}$
Dataset 2: $\boxed{6}$

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QuestionWhat are the medians of the two datasets listed? Dataset 1: $(5,19,14,3,8,14,25,0,3,5,1)$ Dataset 2: $(5,19,14,3,8,14,25,0,3,5,1,7)$ (1 point)
Dataset 1: $\square$
Dataset 2: $\square$

Studdy Solution

STEP 1

STEP 2

1. Order the data points in Dataset 1.
2. Determine the median of Dataset 1.
3. Order the data points in Dataset 2.
4. Determine the median of Dataset 2.

STEP 3

List the data points in Dataset 1:
$5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1$

STEP 4

Order the data points in Dataset 1:
$0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25$

STEP 5

There are eleven data points in Dataset 1, so the median is the middle value. The middle of 11 values is the 6th value.
$5$

STEP 6

List the data points in Dataset 2:
$5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7$

STEP 7

Order the data points in Dataset 2:
$0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25$

STEP 8

There are twelve data points in Dataset 2, so the median is the average of the two middle values. The middle values are the 6th and 7th values.
$\frac{5 + 7}{2} = 6$
The medians are:
Dataset 1: $\boxed{5}$
Dataset 2: $\boxed{6}$

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Studdy Solution

STEP 1

STEP 2

1. Order the data points in Dataset 1.2. Determine the median of Dataset 1.3. Order the data points in Dataset 2.4. Determine the median of Dataset 2.

STEP 3

List the data points in Dataset 1:5,19,14,3,8,14,25,0,3,5,1 5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1 5,19,14,3,8,14,25,0,3,5,1

STEP 4

Order the data points in Dataset 1:0,1,3,3,5,5,8,14,14,19,25 0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25 0,1,3,3,5,5,8,14,14,19,25

STEP 5

There are eleven data points in Dataset 1, so the median is the middle value. The middle of 11 values is the 6th value.5 5 5

STEP 6

List the data points in Dataset 2:5,19,14,3,8,14,25,0,3,5,1,7 5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7 5,19,14,3,8,14,25,0,3,5,1,7

STEP 7

Order the data points in Dataset 2:0,1,3,3,5,5,7,8,14,14,19,25 0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25 0,1,3,3,5,5,7,8,14,14,19,25

STEP 8

There are twelve data points in Dataset 2, so the median is the average of the two middle values. The middle values are the 6th and 7th values.5+72=6 \frac{5 + 7}{2} = 6 25+7​=6 The medians are:Dataset 1: 5\boxed{5}5​Dataset 2: 6\boxed{6}6​

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1. Order the data points in Dataset 1.
2. Determine the median of Dataset 1.
3. Order the data points in Dataset 2.
4. Determine the median of Dataset 2.

List the data points in Dataset 1:
$5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1$

Order the data points in Dataset 1:
$0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25$

There are eleven data points in Dataset 1, so the median is the middle value. The middle of 11 values is the 6th value.
$5$

List the data points in Dataset 2:
$5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7$

Order the data points in Dataset 2:
$0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25$

There are twelve data points in Dataset 2, so the median is the average of the two middle values. The middle values are the 6th and 7th values.
$\frac{5 + 7}{2} = 6$
The medians are:
Dataset 1: $\boxed{5}$
Dataset 2: $\boxed{6}$