Question

Help . See attached ....

Answer 1

would u like to know how to obtain them or checking ans?

Answer 2

I want to know how to get the answer

Answer 3

five number summary is basically describing the data

1. minimum (smallest observation)
2. lower quartile or first quartile
3. the median (middle value)
4. upper quartile or third quartile
5. the sample maximum (largest observation)

First lets put the data in order from smallest to largest
15, 27, 28, 34, 42, 52

from this we can answer 1 and 5 straight away. Are you with me so far?

Answer 4

Yes!

Answer 5

15, 27, 28, 34, 42, 52

1. minimum: 15
2. lower quartile:
3. the median
4. upper quartile
5. the sample maximum 52

now lets figure out the median. I want you figure out the 'middle' number (from the ordered numbers)
If there are two numbers in the middle. Add them both and divide them by 2. what do u think the answer might be for 3. median:

Answer 6

31 ?

Answer 7

yes :D

Answer 8

15, 27, 28, 34, 42, 52
1. minimum: 15
2. lower quarti:le:
3. the median: 31
4. upper quartile
5. the sample maximum 52

now notice the median is not actually in our data set, we had to come up with it. it is where the start * is:
15, 27, 28 * 34, 42, 52

so now to find the lower quartile we need to find the lower middle number. so now for the lower quartile, the middle number 15, 27, 28 ..

and do the same for the upper quartile for the set of higher numbers. hope that makes sense. middle number 34, 42, 52

Answer 9

so for the first quartile would 28.5 make sense ?

Answer 10

it will just be the middle number from 15, 27, 28 .. and it will be 27 ..

Answer 11

OH ok!

Answer 12

cuz the median is not in the data set, it happened in the middle of 28 and 34. i have indicated it below with the star.
15, 27, 28,* 34, 42, 52
so this means, the lower half of the data can be counted from 15, 27, 28.. finding the middle. which is 27

Answer 13

and then 42 for the second quartile ?

Answer 14

yep :) good on ya

Answer 15

if the median number is in the data set, then dont count the median when working out the lower half middle. hope that makes sense