Which numbers represent the lower quartile, the median, and the upper quartile of the following set of numbers?

Mathematics

2 answers:

geniusboy [140]3 years ago

3 0

Lower quartile: 85; median: 97; upper quartile 115.5

Anni [7]3 years ago

3 0

Answer: lower quartile: 85; median: 97; upper quartile: 115.5

Step-by-step explanation:

The given data set : 114, 90, 83, 101, 97, 142, 117, 87, 72

First we arrange all the data values in order.

72, 83, 87, 90, 97, 101, 114, 117, 142

Median = The middlemost value

$\text{ i.e. Median}=97 Lower quartile = Median of lower half [72, 83, 87, 90][tex]\dfrac{83+87}{2}=85$

Upper quartile = Median of upper half [ 101, 114, 117, 142]

$\dfrac{114+117}{2}=115.5$

You might be interested in

If L, M and N are midpoints of the sides of PQR, PR = 46, PQ = 40, and LN=17, find each measure

Serga [27]

Check the picture below.

let's recall that the midsegment of a triangle is the segment that's half-way to both endsides and is at the same time parallel to the 3rd side, is also half the length of the parallel side, so-called the base.

so, for example, we know L, M and N are midpoints to each segment, that means that LM is a midsegment and parallel to PR and also half the length of PR, same is true for LN and MN.