Question

a scientist was conducting a survey of the heights of gorillas. these are the heights that she found in inches. 64, 62, 57, 60, 58, 62, 59, 61, 58, 62. if you are unsure write \i dont know\ in the blanks. what is the mean of the data set? (only type the number rounded to the nearest tenth) what is the median of the data set? (only type the number rounded to the nearest tenth) what is the mode of the data set? (only type the number)

Explanation:

Step1: Calculate sum of data

$64 + 62+57 + 60+58+62+59+61+58+62=603$

Step2: Calculate number of data points

There are 10 data - points.

Step3: Calculate the mean

The mean $\bar{x}=\frac{603}{10}=60.3$

Step4: Arrange data in ascending order

$57,58,58,59,60,61,62,62,62,64$

Step5: Calculate the median

Since there are 10 (an even number) data - points, the median is the average of the 5th and 6th ordered values. $\text{Median}=\frac{60 + 61}{2}=60.5$

Step6: Find the mode

The mode is the number that appears most frequently. The number 62 appears 4 times, more frequently than any other number. So the mode is 62.

Answer:

Mean: 60.3
Median: 60.5
Mode: 62