Question

im starting a test and this is one of the questions i hate doing medium and mode i find it complicated
Given these scores:
31, 32, 32, 33, 34, 35, 35, 35, 35

What number is the median?
A)34 C)35
B)33
What number is the mode?
A)34 C)35
B)33

Answer 1

Answer:

Median:34

Mode:35

Step-by-step explanation:

Given Scores: 31, 32, 32, 33, 34, 35, 35, 35, 35

To find the Median, First, arrange them in either ascending or descending order. Here, they are already arranged in ascending order. Also, here, the no, of terms (n) = 9. Thus, n is odd.

$\therefore Median = (n+1) \div 2 \: ^{th} \: term\\\\= (9+1) \div 2 \: ^{th} \: term\\\\= 10 \div 2 ^{th} \: term\\\\= 5^{th} \: term$

= 34

Now, Mode is the most occuring term. Here, 35 is the mode as it occurs the maximum no. of times.

Hope it helps.