Math / Data & Statistics

QuestionQuestion Nine Group A versus Group B $\begin{array}{rl|l} 86543221 & 0 & 8 \\ 432100 & 1 & 78 \\ 3210 & 2 & 678 \\ 20 & 3 & 222344 \\ & 0 & 4 \\ 177=17 \end{array}$
Two classes of Year 9 Core students completed an Algebra and Measurement test, their results are shown above in the ordered back-to-back stem and leaf plot. a) Add the following pieces of data to the plot (i) Group A (Left hand side): 10, 35 and 42 (ii) Group B: 19, 27 and 30 b) What is the difference between the lowest and highest test score

Studdy Solution

STEP 1

What is this asking? We're looking at test scores from two groups of students, and we need to add some new scores to the chart, then find the difference between the highest and lowest scores. Watch out! Make sure you put the new scores in the right place and in the right group!
Also, remember the stem-and-leaf plot combines the stem and leaf to make the actual score.

STEP 2

1. Add new scores
2. Find highest and lowest scores
3. Calculate the difference

STEP 3

Alright, let's add those new scores!
For Group A, we have $\bf{10}$ , $\bf{35}$ , and $\bf{42}$ .
Remember, the stem is the tens place, and the leaf is the ones place.

STEP 4

So, $\bf{10}$ goes on the left side with a stem of $1$ and a leaf of $0$ . $\bf{35}$ goes with the $3$ stem and a $5$ leaf.
And $\bf{42}$ goes with the $4$ stem and a $2$ leaf.
Make sure they're in order!

STEP 5

Now for Group B, we've got $\bf{19}$ , $\bf{27}$ , and $\bf{30}$ . $\bf{19}$ goes on the right side with a stem of $1$ and a leaf of $9$ . $\bf{27}$ goes with the $2$ stem and a $7$ leaf.
Lastly, $\bf{30}$ goes with the $3$ stem and a $0$ leaf.
Awesome!

STEP 6

Now, let's find the highest and lowest scores.
Looking at the updated stem-and-leaf plot, the highest score is $44$ (from the stem $4$ and leaf $4$ on the right side).

STEP 7

The lowest score is $1$ (from the stem $0$ and leaf $1$ on the left side).
Remember, the stem and leaf combine to make the actual score!

STEP 8

Time to find the difference!
We subtract the lowest score from the highest score: $44 - 1 = 33$

STEP 9

The difference between the highest and lowest test score is $\bf{33}$ .

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Studdy Solution

STEP 1

STEP 2

1. Add new scores
2. Find highest and lowest scores
3. Calculate the difference

STEP 3

Alright, let's add those new scores!
For Group A, we have $\bf{10}$ , $\bf{35}$ , and $\bf{42}$ .
Remember, the stem is the tens place, and the leaf is the ones place.

STEP 4

So, $\bf{10}$ goes on the left side with a stem of $1$ and a leaf of $0$ . $\bf{35}$ goes with the $3$ stem and a $5$ leaf.
And $\bf{42}$ goes with the $4$ stem and a $2$ leaf.
Make sure they're in order!

STEP 5

Now for Group B, we've got $\bf{19}$ , $\bf{27}$ , and $\bf{30}$ . $\bf{19}$ goes on the right side with a stem of $1$ and a leaf of $9$ . $\bf{27}$ goes with the $2$ stem and a $7$ leaf.
Lastly, $\bf{30}$ goes with the $3$ stem and a $0$ leaf.
Awesome!

STEP 6

Now, let's find the highest and lowest scores.
Looking at the updated stem-and-leaf plot, the highest score is $44$ (from the stem $4$ and leaf $4$ on the right side).

STEP 7

The lowest score is $1$ (from the stem $0$ and leaf $1$ on the left side).
Remember, the stem and leaf combine to make the actual score!

STEP 8

Time to find the difference!
We subtract the lowest score from the highest score: $44 - 1 = 33$

STEP 9

The difference between the highest and lowest test score is $\bf{33}$ .

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Studdy Solution

STEP 1

STEP 2

1. Add new scores2. Find highest and lowest scores3. Calculate the difference

STEP 3

Alright, let's **add** those new scores!For **Group A**, we have 10\bf{10}10, 35\bf{35}35, and 42\bf{42}42.Remember, the stem is the tens place, and the leaf is the ones place.

STEP 4

So, 10\bf{10}10 goes on the left side with a stem of 111 and a leaf of 000. 35\bf{35}35 goes with the 333 stem and a 555 leaf.And 42\bf{42}42 goes with the 444 stem and a 222 leaf.Make sure they're in order!

STEP 5

Now for **Group B**, we've got 19\bf{19}19, 27\bf{27}27, and 30\bf{30}30. 19\bf{19}19 goes on the right side with a stem of 111 and a leaf of 999. 27\bf{27}27 goes with the 222 stem and a 777 leaf.Lastly, 30\bf{30}30 goes with the 333 stem and a 000 leaf.Awesome!

STEP 6

Now, let's find the **highest** and **lowest** scores.Looking at the updated stem-and-leaf plot, the **highest score** is 444444 (from the stem 444 and leaf 444 on the right side).

STEP 7

The **lowest score** is 111 (from the stem 000 and leaf 111 on the left side).Remember, the stem and leaf combine to make the actual score!

STEP 8

Time to find the **difference**!We subtract the **lowest score** from the **highest score**: 44−1=3344 - 1 = 3344−1=33

STEP 9

The difference between the highest and lowest test score is 33\bf{33}33.

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1. Add new scores
2. Find highest and lowest scores
3. Calculate the difference

Alright, let's add those new scores!
For Group A, we have $\bf{10}$ , $\bf{35}$ , and $\bf{42}$ .
Remember, the stem is the tens place, and the leaf is the ones place.

So, $\bf{10}$ goes on the left side with a stem of $1$ and a leaf of $0$ . $\bf{35}$ goes with the $3$ stem and a $5$ leaf.
And $\bf{42}$ goes with the $4$ stem and a $2$ leaf.
Make sure they're in order!

Now for Group B, we've got $\bf{19}$ , $\bf{27}$ , and $\bf{30}$ . $\bf{19}$ goes on the right side with a stem of $1$ and a leaf of $9$ . $\bf{27}$ goes with the $2$ stem and a $7$ leaf.
Lastly, $\bf{30}$ goes with the $3$ stem and a $0$ leaf.
Awesome!

Now, let's find the highest and lowest scores.
Looking at the updated stem-and-leaf plot, the highest score is $44$ (from the stem $4$ and leaf $4$ on the right side).

The lowest score is $1$ (from the stem $0$ and leaf $1$ on the left side).
Remember, the stem and leaf combine to make the actual score!

Time to find the difference!
We subtract the lowest score from the highest score: $44 - 1 = 33$

The difference between the highest and lowest test score is $\bf{33}$ .