Question

find the median and mean for each data set. is there an outlier? if so, what is it?

1. test scores

46 46 55 50 49 50 47 order from least to greatest.
55 51
46,46,47,49,50,50,51,55,55
mean 47.7
median 50
outlier? none

Explanation:

Step1: Order data from least to greatest

$46, 46, 47, 49, 50, 50, 51, 55, 55$

Step2: Calculate the mean

$\text{Mean} = \frac{46+46+47+49+50+50+51+55+55}{9} = \frac{449}{9} \approx 49.9$

Step3: Find the median

The 5th value in ordered data is $50$

Step4: Check for outliers

All values cluster closely; no value is far from the rest.

Answer:

Mean: $\approx 49.9$
Median: $50$
Outlier: none