Match each data set to its corresponding statistical range.

Data Set: $\{15, 8, 22, 14, 9\}$ $14$
Data Set: $\{-3, 5, 12, -7, 4\}$ $19$
Data Set: $\{4.5, 7.2, 3.1, 8.9, 6.0\}$ $5.8$
Data Set: $\{100, 100, 100, 100, 100\}$ $0$

Cevap

Match the first data set to

14

, the second to

19

, the third to

5.8

, and the fourth to

0

Each data set is correctly matched to its range by finding the maximum and minimum values in the set, and then subtracting the minimum from the maximum.

Adım Adım Çözüm

Calculate the range for the first data set:

\{15, 8, 22, 14, 9\}

Maximum =

22

, Minimum =

8

. Range =

22 - 8 = 14

The range is the difference between the largest and smallest values in the set.

Calculate the range for the second data set:

\{-3, 5, 12, -7, 4\}

Maximum =

12

, Minimum =

-7

. Range =

12 - (-7) = 19

When subtracting a negative number, it is equivalent to adding its absolute value.

Calculate the range for the third data set:

\{4.5, 7.2, 3.1, 8.9, 6.0\}

Maximum =

8.9

, Minimum =

3.1

. Range =

8.9 - 3.1 = 5.8

Identify the extreme decimal values to find the overall spread of the data.

Calculate the range for the fourth data set:

\{100, 100, 100, 100, 100\}

Maximum =

100

, Minimum =

100

. Range =

100 - 100 = 0

If all values in a data set are identical, there is no dispersion, resulting in a range of

0

Anahtar Kavram

The range is a measure of dispersion calculated as the difference between the highest (maximum) and lowest (minimum) values in a given data set.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

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