Answer:
a. median is 8
b. first quartile is 7
c. third quartile is 9.5
d. below
e. below
Step-by-step explanation:
7, 10, 10, 6, 7, 8, 8, 7, 9.
Place number in order least to greatest
6, 7, 7, 7, 8, 8, 9, 10, 10
a. What is the median?
The median is the middle number in a data set
number of terms in data set (n) + 1 / 2 =
9 + 1 / 2 = 10 / 2
<u>6, 7, 7, 7,</u> 8, <u>8, 9, 10, 10</u>
The median is 8
b. What is the first quartile?
Q1 is the central point between the smallest score and the median
<u>6,</u> 7, 7<u>, 7 </u>
since there is even number of data points you find the average,
7 + 7 / 2 = 14 / 2 = 7
c. What is the third quartile?
Q3 is the central point between the median and the largest score
<u>8</u>, 9, 10, <u>10</u>
since there is even number of data points you find the average,
9 + 10 / 2 = 19 / 2 = 9.5
d. Draw a box plot of the data.
below
e. Write two conclusions about the data shown in the box plot.
There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)