Question

Match the values associated with this data set to their correct descriptions

{6, 47, 49, 15, 43, 41, 7, 36}

Tiles
first quartile
38.5
median
11
third quartile
10.5
the difference
of the largest
value and the
median
45

Answer 1

put the numbers in order
6,7,15,36,41,43,47,49

Q1 = (7 + 15) / 2 = 22/2 = 11 <== first quartile
Q2 = (36 + 41) / 2 = 77/2 = 38.5 <== median
Q3 = (43 + 47) / 2 = 90/2 = 45 <== third quartile

difference of largest value and median.....(49 - 38.5) = 10.5

Answer 2

Explanation:

1. Put numbers in increasing order: 6,7,15,36,41,43,47,49
2. The median is 38.5 (it is the mean of 36 and 41 - the pair of middle entries).
3. The lover half of the data is 6,7,15,36 that are to the left of the median
4. The first quartile, the median of the lower half, is 11 (it is the mean of 7 and 15 - the pair of middle entries).
5. The upper half of the data is 41,43,47,49 that are to the right of the median
6. The third quartile, the median of the upper half, is 45 (it is the mean of 43 and 47 - the pair of middle entries).
7. The difference of the largest value and the median is 10.5 (49-38.5)