Math  /  Data & Statistics

Question19/22
The scores in a basketball match are as follows: A 7,13,18,24,9,3,187,13,18,24,9,3,18
If the team scored 18 points on their next game, how will this effect the mode of the scores? the mode will increase by 5 the mode will decrease by 2 the mode will increase by 1 no change to the mode Anjeska Perezt Desk1 ■ Sign out Nov 19 4:45 US

Studdy Solution

STEP 1

What is this asking? If the team scores 18 points in their next game, will the most frequent score change? Watch out! Don't forget, the mode is the value that appears most often.
It's not the average, median, or total score!

STEP 2

1. Find the initial mode
2. Add the new score
3. Find the new mode
4. Compare the modes

STEP 3

Let's **list out** the scores: 7,13,18,24,9,3,187, 13, 18, 24, 9, 3, 18.

STEP 4

Now, let's **arrange** them from least to greatest to make it easier to see what's happening: 3,7,9,13,18,18,243, 7, 9, 13, 18, 18, 24.

STEP 5

The number 1818 appears **twice**, which is more than any other number in the list.
So, the **initial mode** is 1818.

STEP 6

The team scored another 1818 points, so we **add** that to our list: 3,7,9,13,18,18,18,243, 7, 9, 13, 18, 18, 18, 24.

STEP 7

Looking at our updated list, the number 1818 now appears **three times**.
This is still more frequent than any other number.

STEP 8

Therefore, the **new mode** is 1818.

STEP 9

The **initial mode** was 1818, and the **new mode** is 1818.

STEP 10

Since 18=1818 = 18, there's **no change** to the mode!

STEP 11

There is no change to the mode.

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