Given the following set of data: 3, 4, 5, 6, 8, 9, 9, which measures below have a value of 6? (Check all that apply.)

range
mode
median
high value



Answer :

Answer:

Range and Median have values of 6.

Step-by-step explanation:

Given the set of data: 3, 4, 5, 6, 8, 9, 9.

1) Range = highest value of the data - lowest value

= 9 - 3

Range = 6

2) Mode = most occured data or data with highest frequency

Mode = 9

3) Median = data in the middle of the sequence ( three data to the right, also three data to the left)

Median = 6

4) High value = 9

Therefore,

Range and Median have values of 6.

Answer:

Range ✓

Median ✓

Step-by-step explanation:

Range

The range of a set of data is the difference between the maximum and minimum values in the set.

The maximum value of the given data set is 9 and the minimum value is 3. Therefore:

[tex]\textsf{Range}=9-3\\\\\textsf{Range}=6[/tex]

So, the range of the given set of data is 6.

[tex]\dotfill[/tex]

Mode

The mode of a set of data is the value that appears most frequently within that set.

Therefore, the mode of the given data set is 9, as it is the value that appears most frequently.

[tex]\dotfill[/tex]

Median

The median of a set of data is the middle value when the data is arranged in ascending order, or the average of the two middle values if the set has an even number of elements.

The given data set arranged in ascending order is:

  • 3, 4, 5, 6, 8, 9, 9

The middle value is 6, so the median of the given data set is 6.

[tex]\dotfill[/tex]

High value

The high value of a data set is the maximum value, which is the largest number in the set.

So, the high value of the given data set is 9.

[tex]\dotfill[/tex]

Summary

Range = 6

Mode = 9

Median = 6

High value = 9