Question

Use the stem and leaf plot shown to answer the following question.

What is the upper quartile median value?

37
40
41

Answer 1

(16,18,(23),25,26),34,(37,37,(40),41,46)
Q1 = 23
Q2 = 34
Q3 = 40 <== ur upper quartile median value

Answer 2

The upper quartile median value is 40. Therefore second option is correct.

Explanation:

Stem is first digit of a number and leaf is last digit of a number.

Stem 1 leaf 4 can be written as 14.

From the given table, the observations can be written as

`16,18,23,25,26,34,37,37,40,41,46`

Total number of observations is 11, which is an odd number.

`median=(n+1)/(2)\text{th term}`

`median=(11+1)/(2)\text{th term}=6\text{th term}`

Therefore median is 34.

We have 5 terms before 34 and 5 terms after 34.

`Q_1=(n+1)/(4)\text{th term}=3\text{th term}`

`Q_1=23`

`Q_3=(3(n+1))/(4)\text{th term}=9\text{th term}`

`Q_3=40`

Q₃ is also known as upper quartile median value. Therefore second option is correct.