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Tresset [83]
2 years ago
12

Ms. Rivera created two dot plots to compare the results of her recent science quiz for 1st period students compared to 7th perio

d students. The dot plots are displayed to the right. Use this information to answer the questions below.
Mathematics
1 answer:
Lorico [155]2 years ago
8 0

The dot plots is an illustration of charts and graphs

The average score of period 7 is greater than the average score of period 1

<h3>How to determine the period with the higher average?</h3>

From the dot plots in the complete question, we have the following frequency tables

<u>Period 1</u>                                                          <u>Period 7</u>

Score     Students                                          Score     Students

55           1                                                         65           1

70           1                                                         75           3

75           6                                                         80         5

80           6                                                         85         6

85           2                                                         90         3

90           3                                                         95        2

95           1                                                                

The average is calculated using:

\bar x = \frac{\sum fx}{\sum f}

For period 1, we have:

\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}

Evaluate the sum

\bar x_1 = \frac{1590}{20}

Evaluate the quotient

\bar x_1 = 79.5

For period 7, we have:

\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6  + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}

Evaluate the sum

\bar x_7 = \frac{1660}{20}

Evaluate the quotient

\bar x_7 = 83

By comparison, 83 is greater than 79.5

Hence, the average score of period 7 is greater than the average score of period 1

Read more about dot plots at:

brainly.com/question/12276901

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