The stem and leaf plot shows the H's of group of friends find the median age this stem and leaf plot represents the ages of a group of friends the stem represents the tens place in the leaves represents the ones place

Stem. Leaf
2. 8
3. 124
4. 279
5. 4
Key: 2/8 = 28 years
_____years

1 answer

To find the median age from the stem and leaf plot, we first need to extract the ages represented by the stems and leaves.

From the stem and leaf plot:

  • Stem "2" has a leaf "8" → 28 years
  • Stem "3" has leaves "1", "2", and "4" → 31, 32, and 34 years
  • Stem "4" has leaves "2", "7" → 42, 47 years
  • Stem "5" has a leaf "4" → 54 years

Now, let's list all the ages in order:

  • 28
  • 31
  • 32
  • 34
  • 42
  • 47
  • 54

Next, we count the number of ages:

There are 7 ages in total.

To find the median, we need to find the middle number in this ordered list. Since there are 7 values (an odd number), the median is the 4th value in the ordered list.

Ordering the ages:

  1. 28
  2. 31
  3. 32
  4. 34 (Median)
  5. 42
  6. 47
  7. 54

Thus, the median age is 34 years.