each dot in the following dot plot represents the number of songs on one of shanes albums. find the…

each dot in the following dot plot represents the number of songs on one of shanes albums. find the interquartile range (iqr) of the data in the dot plot. songs

each dot in the following dot plot represents the number of songs on one of shanes albums. find the interquartile range (iqr) of the data in the dot plot. songs

Answer

Explanation:

Step 1: List all data points from the dot plot

From the dot plot, the data points (number of songs) are: 7, 9, 9, 10, 10, 10, 8, 8, 11, 12, 12, 14, 6 (assuming correct count; actual count should match the plot). After sorting: 6, 7, 8, 8, 9, 9, 10, 10, 10, 11, 12, 12, 14.

Step 2: Find the median (Q2) and split data into lower/upper halves

Total data points: 13. Median is the 7th value: 10. Lower half: first 6 values (6, 7, 8, 8, 9, 9), upper half: last 6 values (10, 11, 12, 12, 14).

Step 3: Calculate Q1 (median of lower half) and Q3 (median of upper half)

Q1 is the median of lower half (6 values): average of 3rd and 4th values: $\frac{8 + 8}{2} = 8$. Q3 is the median of upper half (6 values): average of 3rd and 4th values: $\frac{12 + 12}{2} = 12$.

Step 4: Compute IQR as Q3 - Q1

$IQR = 12 - 8 = 4$.

Answer:

4 songs