PLS HELP!! THIS IS WORTH 100 POINTS {PLUS I WILL MARK BRAINIEST}


Theresa kept track of her paycheck amounts for the first three weeks of the month.

If Theresa earns $125 in the fourth week, how would the measures of central tendency change?


Week 1: $125

Week 2: $100

Week 3: $125

A
The mean would stay the same.

B
The mean would increase.

C
The median would decrease.

D
The median would increase.

Respuesta :

Answer:

B) The mean would increase.

Given:

Week 1: $125, Week 2: $100, Week 3: $125, Week 4: $125

Formula's Applied:

[tex]\boxed{\sf Mean= \dfrac{sum \ of \ terms}{number \ of \ terms}}[/tex]

Mean without Week 4:

  • (125+100+125)/3 = 350/3 = $116.67
  • Mean: $116.67

Mean with Week 4:

  • (125+100+125+125)/4 = $118.75
  • Mean: $118.75

Median without Week 4:

  • $125, $100, $125

arrange them ascendingly

  • $100, $125, $125
  • Median: $125

Median with Week 4:

  • $125, $100, $125, $125

arrange them ascendingly

  • $100, $125, $125, $125
  • Median: (125+125)/2 = $125

Answer:

B.  The mean would increase.

Step-by-step explanation:

The Median is the middle value when the values are placed in order from smallest to largest.  If there are two middle values, the median is halfway between them.

Median for first three weeks

$100, $125, $125

Therefore, the median is $125

Median for 4 weeks

$100, $125, $125, $125

Therefore, the median is ($125 + $125) ÷ 2 = $125

Therefore, the median has stayed the same

The Mean is the total of the numbers divided by how many numbers there are.

Mean for first three weeks

($100 + $125 + $125) ÷ 3 = $116.67

Mean for 4

weeks

($100 + $125 + $125 + $125) ÷ 4 = $118.75

Therefore, the mean has increased.