matics. math 003. fall 2025\nunit 4 - mean, median and mode, and\nquestion 17, 7.3.45\npart 1 of 3\nhw…

matics. math 003. fall 2025\nunit 4 - mean, median and mode, and\nquestion 17, 7.3.45\npart 1 of 3\nhw score: 50%, 23 of 46 points\npoints: 0 of 1\nuse the display of data to find the mean, median, and mode.\nthe mean of the data is \n(type a whole number or decimal rounded to the nearest tenth as needed.)

matics. math 003. fall 2025\nunit 4 - mean, median and mode, and\nquestion 17, 7.3.45\npart 1 of 3\nhw score: 50%, 23 of 46 points\npoints: 0 of 1\nuse the display of data to find the mean, median, and mode.\nthe mean of the data is \n(type a whole number or decimal rounded to the nearest tenth as needed.)

Answer

Explanation:

Step1: Identify data values and frequencies

From the histogram, values are 10, 11, 12, 13, 14 with frequencies 5, 6, 9, 5, 5 respectively.

Step2: Calculate the sum of the products of values and frequencies

[ (10\times5)+(11\times6)+(12\times9)+(13\times5)+(14\times5)=50 + 66+108 + 65+70 = 359]

Step3: Calculate the total frequency

[5 + 6+9+5+5=30]

Step4: Calculate the mean

The mean $\bar{x}=\frac{359}{30}\approx12.0$

Answer:

12.0