The number of hours worked per week for a sample of ten students is shown below.
Student |
Hours |
1 |
20 |
2 |
0 |
3 |
18 |
4 |
16 |
5 |
22 |
6 |
40 |
7 |
8 |
8 |
6 |
9 |
30 |
10 |
40 |
a. |
Determine the median and explain its meaning. |
b. |
Compute the 70th percentile and explain its meaning. |
c. |
What is the mode of the above data? What does it signify? |
Formula Ref:
Median is 19.
If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.
70th percentile is 24.4
A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls.
Mode is 40.
Mode is the repeated number and more time repeated numbers in the data set.
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