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vovikov84 [41]
3 years ago
15

Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grad

e for them. On six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your grade to the nearest whole number, and which measure of central tendency should you choose
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer: 89

Step-by-step explanation:

Since the tests scores are 89, 81, 85, 82, 89, and 89. The measure of central tendency are:

Mean = (89 + 81 + 85 + 82 + 89 + 89) / 5

= 515/6

= 85.83

Median = 89, 81, 85, 82, 89, and 89. We'll rearrange the numbers which will be:

81, 82, 85, 89, 89 and 89

Median = 85+89/2

= 174/2

= 87

Mode = 89 which appears most.

Since the math teacher allows me to choose the most favorable measure of central tendency, I'll choose the mode since it gives a higher score.

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Answer:

The two equations that can be used to find each of their ages are x=4 \times y and x+y=60 .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

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                                     x=4 \times y   ----------------- [equation 1]

  • The <u>second condition</u> states that the sum of their ages is 60 years, that means;

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                                4y + y = 60     {using equation 1}

                                  5y=60

                                   y=\frac{60}{5}

                                   y = 12 years

Now, putting the value of y in equation 1 we get;

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