Grade 10 Maths · Statistics · Draw and read a stem-and-leaf plot

Draw and read a stem-and-leaf plot Grade 10

Draw a single or back-to-back stem-and-leaf plot and read values, the median or the range from it, for example a stem of 4 with a leaf of 7 means 47.

practice questions use it, all grades: 17 practice questions use it, all grades
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Mathematics Grade 10 Stem and Leaf Plot Statistics @mathszoneafricanmotives @mathwithlightoneMaths Zone African Motives

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Practice · NavyBlue · 2 marks

The back-to-back stem-and-leaf plot shows the percentages scored by two Grade 10 classes (

14

learners each) in the same test. Diagram for this question

Determine the median of each class.(2)

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More questions: draw and read a stem-and-leaf plot

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3. Practice · NavyBlue · 3 marks
The number of push-ups done in one minute by $10$ boys and $10$ girls:
Boys: $12; 18; 21; 25; 25; 30; 34; 37; 41; 46$
Girls: $9; 14; 15; 17; 22; 23; 26; 28; 31; 35$
Draw a back-to-back stem-and-leaf plot of the data, with the girls on the left. Include a key.(3)
Show the memo (3 ticks)Memo
1. ✓
  Common stemsStems $0; 1; 2; 3; 4$ in the middle
  1 mark · Draw and read a stem-and-leaf plot
2. ✓
  Leaves on both sidesGirls (left, read outwards): $0∣9$ ; $1∣4 57$ ; $2∣2 368$ ; $3∣1 5$
  Boys (right): $1∣2 8$ ; $2∣1 55$ ; $3∣0 47$ ; $4∣1 6$
  1 mark · Draw and read a stem-and-leaf plot
3. ✓
  KeyKey: $2∣2∣1$ means $22$ for girls and $21$ for boys
  1 mark · Draw and read a stem-and-leaf plot
4. Practice · NavyBlue · 2 marks
The distances (in metres) jumped by $16$ athletes in a long jump event are shown below.
What percentage of the athletes jumped further than $5, 0$ m?(2)
Show the memo (2 ticks)Memo
1. ✓
  Count $5, 2; 5, 2; 5, 2; 5, 5; 5, 8; 6, 1; 6, 3; 6, 4$ : $8$ athletes
  1 mark · Draw and read a stem-and-leaf plot
2. ✓
  Percentage $\frac{8}{16} \times 100% = 50%$
  1 mark · Calculate with percentages
5. Practice · NavyBlue · 2 marks
The heights (in cm) of $20$ Grade 10 learners are shown in the stem-and-leaf plot.
Determine the median height.(2)
Show the memo (2 ticks)Memo
1. ✓
  Position of the median $n = 20$ , so the median lies between the $10$ th and $11$ th values: $159$ and $160$
  1 mark · Draw and read a stem-and-leaf plot
2. ✓
  Median $\frac{159 + 160}{2} = 159, 5$ cm
  1 mark · Find the median
6. Practice · NavyBlue · 3 marks
The waiting times (in minutes) of $14$ patients at a clinic one morning are shown in the stem-and-leaf plot.
Calculate the mean and the median waiting time.(3)
Show the memo (3 ticks)Memo
1. ✓
  Values read from the plot $5; 7; 8; 8; 9; 10; 11; 12; 12; 13; 14; 15; 16; 48$
  1 mark · Draw and read a stem-and-leaf plot
2. ✓
  Mean $\overset{x}{ˉ} = \frac{188}{14} = 13, 43$ minutes
  1 mark · Calculate the mean
3. ✓
  Median $\frac{11 + 12}{2} = 11, 5$ minutes
  1 mark · Find the median

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