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Question

A bar graph is titled Age of Concert Attendees. The x-axis shows ages ranging from 25 to 43 and the y-axis shows frequency ranging from 0 to 160 in increments of 20. The x-axis represents the ages and the y-axis represents frequency. The data reads as follows: age 25 has a frequency of 10; age 26 has a frequency of 30; age 27 has a frequency of 40; age 28 has a frequency of 60; age 29 has a frequency of 80; age 30 has a frequency of 90; age 31 has a frequency of 110; age 32 has a frequency of 130; age 33 has a frequency of 140; age 34 has a frequency of 120; age 35 has a frequency of 110; age 36 has a frequency of 100; age 37 has a frequency of 80; age 38 has a frequency of 70; age 39 has a frequency of 50; age 40 has a frequency of 40; age 41 has a frequency of 30; age 42 has a frequency of 20; age 43 has a frequency of 10.

Interpret the equal share value of the data distribution as the mean age for concert attendees.

(1 point)
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Answer 1

To find the mean age for concert attendees, we need to calculate the average age based on the frequency of attendees at each age.

First, we calculate the total number of attendees by summing up all the frequencies given: 10+30+40+60+80+90+110+130+140+120+110+100+80+70+50+40+30+20+10 = 1180

Next, we calculate the total value of all ages by multiplying each age by its frequency and summing up the values.

(25*10) + (26*30) + (27*40) + (28*60) + (29*80) + (30*90) + (31*110) + (32*130) + (33*140) + (34*120) + (35*110) + (36*100) + (37*80) + (38*70) + (39*50) + (40*40) + (41*30) + (42*20) + (43*10) = 41520

Finally, we divide the total value of ages by the total number of attendees to find the mean age:

41520 / 1180 = 35

Therefore, the mean age for concert attendees is 35.