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harina [27]
3 years ago
11

Suppose that there are 20 numbers in a data set and that they are all different. How many of the values in this data set are bet

ween the first quartile and the third quartile?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

10 Values

Step-by-step explanation:

We would use a set of data for illustration

Given the set of numbers:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

Since we have an even number of data, the median is in between 10 and 11.

(1,2,3,4,5,6,7,8,9,10),(11,12,13,14,15,16,17,18,19,20)

Lower Half: (1,2,3,4,5,6,7,8,9,10)

  • The median of the lower half is in between 5 and 6. So Q_1 is in between 5 and 6.

Upper Half:(11,12,13,14,15,16,17,18,19,20)

  • The median of the upper half is in between 15 and 16. So Q_3 is in between 15 and 16.

Therefore, we have the [position of the first and third quartiles as:

1,2,3,4,5,Q_1,6,7,8,9,10,11,12,13,14,15,Q_3,16,17,18,19,20

There are 10 values in between the first and third quartiles.

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