Match each statistical request with its correct numerical value based on the provided data… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each statistical request with its correct numerical value based on the provided data sets.

The mode of the set: $2, 4, 4, 6, 9$ $4$
The median of the ordered set: $1, 3, 5, 10, 15$ $5$
The mean of the set: $2, 6, 10$ $6$
The median of the ordered set: $3, 5, 9, 11$ $7$

Cevap

Mode of 2, 4, 4, 6, 9 is 4. Median of 1, 3, 5, 10, 15 is 5. Mean of 2, 6, 10 is 6. Median of 3, 5, 9, 11 is 7.

Each statistical request is paired with its exact calculated value. The mode identifies the most common value, the median finds the central value of an ordered list (averaging the middle two if the count is even), and the mean calculates the mathematical average.

Adım Adım Çözüm

Calculate the mode for the first set:

2, 4, 4, 6, 9

The mode is

4

The number

4

is the only value that appears more than once, making it the most frequent value.

Determine the median for the second set:

1, 3, 5, 10, 15

The median is

5

Since the list is ordered and has an odd number of elements (

5

), the middle value is the third element.

Calculate the mean for the third set:

2, 6, 10

The mean is

6

Add the numbers (

2 + 6 + 10 = 18

) and divide by the total count (

3

18 \div 3 = 6

Determine the median for the fourth set:

3, 5, 9, 11

The median is

7

Since the list has an even number of elements (

4

), find the average of the two middle numbers (

5

and

9

\frac{5 + 9}{2} = \frac{14}{2} = 7

Anahtar Kavram

Measures of Central Tendency

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

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