Question

plot 1
0 1 2 3 4 5 6 7 8
plot 2
0 1 2 3 4 5 6 7 8
use visual clues to decide which plot has the highest measure. no calculations should be necessary, although you may use them to verify your answers.
highest mean:
highest median:
highest range:
highest interquartile ranges:

Explanation:

Step1: Analyze Highest Mean

Mean is influenced by the position of data points. Plot 1 has more data points at higher values (5,6,7,8) while Plot 2 has more at lower values (1,2,3,4) and a few at higher. So Plot 1 has higher mean.

Step2: Analyze Highest Median

Median is the middle value. For Plot 1, data is clustered at 5 - 8, middle will be high. Plot 2 has data spread, but Plot 1's middle (median) is higher as most data is at 5 - 8. So Plot 1.

Step3: Analyze Highest Range

Range = Max - Min. Plot 1: Min = 5, Max = 8, Range = 3. Plot 2: Min = 1, Max = 8, Range = 7. So Plot 2.

Step4: Analyze Highest Interquartile Range (IQR)

IQR is range of middle 50%. Plot 2 has data spread from 1 - 8 with more spread in middle? Wait, Plot 1: data from 5 - 8, IQR will be smaller. Plot 2: data from 1 - 8, middle 50% spread more. Wait, no: Plot 1's data is from 5 (min) to 8 (max), so Q1 and Q3 are in 5 - 8. Plot 2: min 1, max 8, data from 1 - 8, so IQR is larger. Wait, no, let's check: Plot 1: data points (count): at 5:2, 6:2, 7:4, 8:5? Wait no, Plot 1: 5 has 2, 6 has 2, 7 has 4, 8 has 5? Wait no, looking at Plot 1: 5 (2 X), 6 (2 X), 7 (4 X), 8 (5 X)? Wait no, the X's: Plot 1: 5: 2, 6:2, 7:4, 8:5? Wait no, the graph: 5 has two X, 6 has two, 7 has four, 8 has five? Wait no, the x - axis: 0,1,2,3,4,5,6,7,8. Plot 1: X at 5 (2), 6 (2), 7 (4), 8 (5). Plot 2: X at 1 (5), 2 (2), 3 (4), 4 (3), 5 (1), 6 (1), 8 (1). So for Plot 1: data points: 2 + 2+4 + 5 = 13? Wait no, 5:2, 6:2, 7:4, 8:5? Wait 2+2=4, +4=8, +5=13. Plot 2: 1:5, 2:2, 3:4, 4:3, 5:1, 6:1, 8:1. Total:5+2+4+3+1+1+1=17. Wait, maybe my earlier count was wrong. But for IQR: Plot 1: data from 5 to 8, so Q1 and Q3 are in 5 - 8, IQR is small. Plot 2: data from 1 to 8, middle 50% (Q1 to Q3) will be from, say, 2 to 6, so IQR is 4. Plot 1: Q1 and Q3 in 6 - 8, IQR smaller. So Plot 2 has higher IQR. Wait, but earlier range was Plot 2. So:

Highest mean: Plot 1

Highest median: Plot 1

Highest range: Plot 2

Highest interquartile range: Plot 2

Answer:

Highest mean: Plot 1

Highest median: Plot 1

Highest range: Plot 2

Highest interquartile ranges: Plot 2