Solve for the mode and range of the given data.

inlays85k5

inlays85k5

Answered question

2021-11-30

Solve for the mode and range of the given data. Show your solutions on the space provided.
DataModeRange10,7,7,4,5,6,4124.2,3.9,4.6,5.1,3.8,4.7,3.5345.1,3.2,4.7,4.0,3.656

Answer & Explanation

Egreane61

Egreane61

Beginner2021-12-01Added 16 answers

Step 1
Given,
1. 10, 7 , 7, 4, 5, 6, 4
2. 4.2, 3.9, 4.6, 5.1, 3.8, 4.7, 3.5
3. 5.1, 3.2, 4.7, 4.0, 3.6
To find,
Mode and range of the given data sets.
Step 2
Answer:
First we see what is Mode and Range?
Mode:
Mode is the most repeatating value in the data set.
For Example:
1, 2 , 2 , 3 , 5
Here mode is 2
Range;
Range is the difference of largest value and smallest vaue of the given data set.
Ex. 2, 5 , 6, 7, 10
Range=Largest valuesmallest value=102=8
Step 3
1. 10, 7 , 7, 4, 5, 6, 4
Answer:
First sort the data in ascending order.
4, 4, 5, 6, 7, 7, 10
Mode=4,7
Here we have two modal values as 4 and 7 repeating 2 times.
Range:
Largest value =10
Smallest value =4
Range=104=6
Therefore, Mode=(4,7) and Ran≥=6
Step 4
2. 4.2, 3.9, 4.6, 5.1, 3.8, 4.7, 3.5
Answer:
First sort the data in ascending order.
3.5, 3.8, 3.9, 4.2, 4.6, 4.7, 5.1
Mode=no mode
Here every value is repeating only once. So we can say there is no modal value.
Range:
Largest value=5.1
Smallest value=3.5
Range=5.13.5=1.6
Therefore, Mode=no mode and Range=1.6
Step 5
3. 5.1, 3.2, 4.7, 4.0, 3.6
Answer:
First sort the data in ascending order.
3.2, 3.6, 4.0, 4.7, 5.1
Mode=No mode
Here every value is repeating only once. So we can say there is no modal value.
Range:
Largest value=5.1
Smallest value=3.2
Range=5.13.2=1.9
Therefore, Mode=No mode and Range=1.9

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