QUESTION IMAGE
Question
this graph shows the heights of 50 17 - year - old male students. heights were recorded to the nearest centimeter (cm).
heights of male students
which range in the histogram is likely to include the mean height for this population?
a. 158 - 165
b. 190 - 197
c. 174 - 181
d. 182 - 189
Step1: Understand the concept of mean
The mean is the average value. In a histogram, the mean is influenced by the frequency and the mid - value of each class.
Step2: Analyze the frequencies
The class 174 - 181 has the highest frequency (17 students). The higher frequency class pulls the mean towards it.
The class 158 - 165 has a low frequency (6 students), 190 - 197 has a very low frequency (4 students), and 182 - 189 has a moderate frequency (11 students) compared to 174 - 181.
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C. 174 - 181