WARM UP question !

Come on guys, try this out ! 

The list gives the scores a group of students who took part in a mathematics quiz.

10, 7, 14, 38, 26, 16, 10, 21

Find:


(a) Mode

= 10 (the most popular number)

(b) Mean

:  10 + 7 + 14 + 38 + 26 + 16 + 10 + 21 / 8 = 17.75 (Plus all the numbers and then divided by how many terms)

(c) Median

: Arranged the numbers from the smallest to biggest

7 , 10 , 10, 14 , 16, 21, 26, 38

Since there is 14 and 16 are the middle numbers. Plus 14 + 16 then divided it into 2. The answer is 15.

(d) Range

: This will be the simplest one. Just subtract the highest number with the smallest one.

38 - 7 = 31 (ans)

(e) The lower and upper quartile

: there is three quartile altogether

• lower quartile
• middle quartile
• upper quartile

So to find the:

Lower quartile -> 1/4 × 8 (no.of terms)
= 2.

Upper quartile -> 3/4 × 8 (no.of.terms)
= 6.

Lower = 10.
Upper = 26.

(d) The inter quartile range

: Minus the upper quartile - lower qurtile

26 - 10 = 16 (ans)