Question

Total blood cholesterol level was measured for each of 10 adults. Here are the 10 measurements (in mg/dL).176, 251, 247, 262, 150, 214, 192, 194, 154, 255Send data to calculator(a) What is the mean of this data set? If your answer is not aninteger, round your answer to one decimal place.00(b) What is the median of this data set? If your answer is notan integer, round your answer to one decimal place.(c) How many modes does the data set have, and what aretheir values? Indicate the number of modes by clicking in theappropriate circle, and then indicate the value(s) of themode(s), if applicable.zero modesone mode:two modes: andXS

Answer 1

a) 209.5mg/dL

b) 204mg/dL

c) zero modes

Explanations:

Mean is also known as average of a dataset. Given the data expressed below;

`Mean=\frac{sum\text{ of data}}{sample\text{ size}}`

Given the following parameters

Sum of data = 176 + 251 + 247 + 262 + 150 + 214 + 192 + 194 + 154 + 255

Sum of data = 2095

Sample size = 10 (Total measurement)

Determine the mean of the data

`\begin{gathered} Mean=(2095)/(10) \\ Mean=209.5 \end{gathered}`

Therefore the mean of the data is 209.5mg/dL

b) The median of the dataset is the value in the middle after rearrangement. On rearranging in ascending order;

150, 154, 176,192, (194, 214), 247, 251, 255, 262

The two values at the middle are 194 and 214.

`\begin{gathered} Median=(194+214)/(2) \\ Median=(408)/(2) \\ Median=204 \end{gathered}`

c) The mode of the data is the value that occur the most in the dataset. SInce all the data only appear once in the dataset, hence there are ZERO MODES