Question

se the image to answer the question.An illustration shows two sets of dot plots. One is titled Movie 1 and the other is Movie 2. The plots are shown as an abacus-like representation with dots in a vertical row over each number on a number line. For Movie 1, a number line with arrows on both ends ranges from 17 to 43 in increments of 1. There is 1 dot above 17, 18, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, and 43. There are 2 dots above 23 and 3 dots above 20. For Movie 2, the number line ranges from 24 to 50 in increments of 1. There is 1 dot above 25, 28, 32, 35, 36, 42, 43, 45, 47, 48, and 50. There are 2 dots above 30, 34, and 37, and 3 dots above 40.The dot plots show the ages, in years, of people watching two movies at a local theater. Find the median age of the people who watched each movie.(1 point)The median age of the people who watched Movie 1 is.The median age of the people who watched Movie 2 is.Remaining Attempts : 3Skip to navigation

Answer 1

To find the median age from the dot plots, we first need to list the ages represented by the dots for each movie and then determine the median value.

For Movie 1:

From the dot plot for Movie 1, we have the following ages and counts:

• 17: 1 dot
• 18: 1 dot
• 20: 3 dots
• 21: 1 dot
• 22: 1 dot
• 23: 2 dots
• 25: 1 dot
• 26: 1 dot
• 28: 1 dot
• 29: 1 dot
• 32: 1 dot
• 33: 1 dot
• 35: 1 dot
• 36: 1 dot
• 38: 1 dot
• 40: 1 dot
• 43: 1 dot

Listing the ages:

• 17, 18, 20, 20, 20, 21, 22, 23, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43
• Total: 20 ages

To find the median:

1. As there are 20 ages (an even number), the median will be the average of the 10th and 11th values when ordered.
2. The ordered ages are: 17, 18, 20, 20, 20, 21, 22, 23, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43

So, the 10th value is 25 and the 11th value is 26. Median = (25 + 26) / 2 = 25.5

Median for Movie 1: 25.5 years

For Movie 2:

From the dot plot for Movie 2, we have the following ages and counts:

• 24: 0 dots (not listed)
• 25: 1 dot
• 28: 1 dot
• 30: 2 dots
• 32: 1 dot
• 34: 2 dots
• 35: 1 dot
• 36: 1 dot
• 37: 2 dots
• 40: 3 dots
• 42: 1 dot
• 43: 1 dot
• 45: 1 dot
• 47: 1 dot
• 48: 1 dot
• 50: 1 dot

Listing the ages:

• 25, 28, 30, 30, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50
• Total: 20 ages

To find the median:

1. Again, since there are 20 ages, the median is the average of the 10th and 11th values.
2. The ordered ages are: 25, 28, 30, 30, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50

So, the 10th value is 37 and the 11th value is also 37. Median = (37 + 37) / 2 = 37

Median for Movie 2: 37 years

Final Answers:

• The median age of the people who watched Movie 1 is 25.5 years.
• The median age of the people who watched Movie 2 is 37 years.