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HELP NEEDED NOW Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

HELP NEEDED NOW Measure the difference between the lower quartile of Data Set A and-example-1
User Muhuk
by
6.4k points

1 Answer

5 votes

Answer:

29

Explanation:

The formula for lower quartile(Q1) = 1/4(n + 1)th term

Where n = number of terms.

For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 79

4th term = 81

3.25th term = 79 + 81/2

= 160/2

= 80

For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 51

4th term = 51

3.25th term = 51 + 51/2

= 102/2

= 51

The difference between the lower quartile of Data Set A and Data Set B =

80 - 51 = 29

User Chintamani Manjare
by
5.8k points
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