2 dots plots with number lines going from 0 to 10. Plot A has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 2 above 5, 2 above 6, 2 above 7, 0 above 8 and 9, and 1 above 10. Plot B has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 dots above 8, 9 and 10. Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.

Question

Mathematics

Josie

23 October, 23:59

2 dots plots with number lines going from 0 to 10. Plot A has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 2 above 5, 2 above 6, 2 above 7, 0 above 8 and 9, and 1 above 10. Plot B has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 dots above 8, 9 and 10. Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.

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Answers (1)

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June Dodson · Answer 1

First one:

Both the mean and median are greater for Plot A than for Plot B

Step-by-step explanation:

Set A:

Mean:

[1*10 + 2*7 + 2*6 + 2*5 + 2*4 + 1*3]/10

= 5.7

Median:

Median position: (10+1) / 2 = 5.5th value

(5+6) / 2

Median = 5.5

Set B:

Mean:

[1*7 + 3*6 + 3*5 + 2*4 + 1*3]/10

= 5.1

Median:

Median position: (10+1) / 2 = 5.5th value

(5+5) / 2

Median = 5

Mean: A is greater

Median: A is greater