Question

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Answer 1

Min: 2  Q1: 7.5  Med: 11 Q3:14  Max:17

Step-by-step explanation:

Min is the minimum value of the provided data. In this case it is easier to tell because the numbers are arranged in ascending order;

The minimum value is;

= 2

Quartile 1 is the value that divides into half, the first half of the provides values. The first half of the value is divided by the median (In this case 11). The value that is halfway the values before median value is the Q1

In this case, we end up with two values because the numbers of values are even;

6 & 9

We sum the two and divide by 2

(6 + 9) / 2 = 7.5

Median is the value that is in the middle of all the provided values arranged in ascending order. Because the values are even, we end up with two numbers;

11 & 11

Again we sum the two and divide by 2;

(11 + 11) / 2 = 11

Quartile 3 is the value that divides into half, the second half of the provided values. This means the value three-quaters way. Because the number of provides values is even, then we end up with two values;

14 & 14

We sum the two and divide by 2

(14 + 14) / 2 = 14

Max value is the largest number of all the values;

= 17

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Answer 2

Min = 2

Q1 = 7.5

Median = 11

Q3 = 14

Max = 17

Step-by-step explanation:

We need to find Five number summary (Minimum, Q1, Median,Q3 and Maximum) of following data

2,6,9,11,11,14,14,17

Minimum value: smallest value

sO, Min = 2

Q1: First quartile

Q1 is the middle value of first half of data set

When there are even numbers, plus middle two numbers and divide by 2 of the first half of data i.e 2,6,9,11

(6+9)/2=7.5

So, Q1= 7.5

Median: Half of the data

When there are even numbers, plus middle two numbers and divide by 2

(11+11)/2=11

So, median = 11

Q3: Third quartile

Q3 is the middle value of last half of data set

When there are even numbers, plus middle two numbers and divide by 2 of the last half of data i.e 11,14,14,17

(14+14)/2 = 14

So, Q3 = 14

Maximum Value: The highest value in the data

So, Max = 17

Keywords: Five Number Summary

Learn more about Five Number Summary at:

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