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mean, mode, median, and range 1) 82, 23, 59, 94, 70, 26, 32, 88, 87, 94…

Question

mean, mode, median, and range

  1. 82, 23, 59, 94, 70, 26, 32, 88, 87, 94, 32

mean __ median mode ___ range __

  1. 83, 93, 77, 33, 62, 28, 23

mean __ median mode ___ range __

  1. 31, 92, 25, 69, 80, 31, 29

mean __ median mode ___ range __
) 21, 62, 66, 66, 79, 28, 63, 48, 59, 94, 19
an __ median mode ___ range __
33, 23, 24, 71, 52, 62, 63
__ median mode ___ range __

  1. 67, 70, 49, 95, 40, 97, 62, 54, 42

mean __ median mode ___ range __

  1. 86, 13, 60, 55, 61, 97, 30, 98, 79, 52, 18

mean __ median mode ___ range __

  1. 24, 22, 32, 59, 99, 59, 76, 83, 21, 95, 57

mean __ median mode ___ range __

  1. 63, 25, 43, 28, 72, 61, 45, 46, 13

mean __ median mode ___ range __

  1. 53, 44, 10, 45, 59, 97, 77

mean __ median mode ___ range __

Explanation:

---

Problem 1: 82, 23, 59, 94, 70, 26, 32, 88, 87, 94, 32

Step1: Sort the dataset

$23, 26, 32, 32, 59, 70, 82, 87, 88, 94, 94$

Step2: Calculate the mean

$\text{Mean} = \frac{23+26+32+32+59+70+82+87+88+94+94}{11} = \frac{707}{11} = 64.27$

Step3: Find the median (6th value)

$\text{Median} = 70$

Step4: Identify the mode (most frequent)

$\text{Mode} = 32, 94$

Step5: Calculate the range (max-min)

$\text{Range} = 94 - 23 = 71$

---

Problem 2: 83, 93, 77, 33, 62, 28, 23

Step1: Sort the dataset

$23, 28, 33, 62, 77, 83, 93$

Step2: Calculate the mean

$\text{Mean} = \frac{23+28+33+62+77+83+93}{7} = \frac{399}{7} = 57$

Step3: Find the median (4th value)

$\text{Median} = 62$

Step4: Identify the mode (no repeats)

$\text{Mode} = \text{None}$

Step5: Calculate the range (max-min)

$\text{Range} = 93 - 23 = 70$

---

Problem 3: 31, 92, 25, 69, 80, 31, 29

Step1: Sort the dataset

$25, 29, 31, 31, 69, 80, 92$

Step2: Calculate the mean

$\text{Mean} = \frac{25+29+31+31+69+80+92}{7} = \frac{357}{7} = 51$

Step3: Find the median (4th value)

$\text{Median} = 31$

Step4: Identify the mode (most frequent)

$\text{Mode} = 31$

Step5: Calculate the range (max-min)

$\text{Range} = 92 - 25 = 67$

---

Problem 4: 21, 62, 66, 66, 79, 28, 63, 48, 59, 94, 19

Step1: Sort the dataset

$19, 21, 28, 48, 59, 62, 63, 66, 66, 79, 94$

Step2: Calculate the mean

$\text{Mean} = \frac{19+21+28+48+59+62+63+66+66+79+94}{11} = \frac{605}{11} = 55$

Step3: Find the median (6th value)

$\text{Median} = 62$

Step4: Identify the mode (most frequent)

$\text{Mode} = 66$

Step5: Calculate the range (max-min)

$\text{Range} = 94 - 19 = 75$

---

Problem 5: 33, 23, 24, 71, 52, 62, 63

Step1: Sort the dataset

$23, 24, 33, 52, 62, 63, 71$

Step2: Calculate the mean

$\text{Mean} = \frac{23+24+33+52+62+63+71}{7} = \frac{328}{7} = 46.86$

Step3: Find the median (4th value)

$\text{Median} = 52$

Step4: Identify the mode (no repeats)

$\text{Mode} = \text{None}$

Step5: Calculate the range (max-min)

$\text{Range} = 71 - 23 = 48$

---

Problem 6: 67, 70, 49, 95, 40, 97, 62, 54, 42

Step1: Sort the dataset

$40, 42, 49, 54, 62, 67, 70, 95, 97$

Step2: Calculate the mean

$\text{Mean} = \frac{40+42+49+54+62+67+70+95+97}{9} = \frac{576}{9} = 64$

Step3: Find the median (5th value)

$\text{Median} = 62$

Step4: Identify the mode (no repeats)

$\text{Mode} = \text{None}$

Step5: Calculate the range (max-min)

$\text{Range} = 97 - 40 = 57$

---

Problem 7: 86, 13, 60, 55, 61, 97, 30, 98, 79, 52, 18

Step1: Sort the dataset

$13, 18, 30, 52, 55, 60, 61, 79, 86, 97, 98$

Step2: Calculate the mean

$\text{Mean} = \frac{13+18+30+52+55+60+61+79+86+97+98}{11} = \frac{649}{11} = 59$

Step3: Find the median (6th value)

$\text{Median} = 60$

Step4: Identify the mode (no repeats)

$\text{Mode} = \text{None}$

Step5: Calculate the range (max-min)

$\text{Range} = 98 - 13 = 85$

---

Problem 8: 24, 22, 32, 59, 99, 59, 76, 83, 21, 95, 57

Step1: Sort the dataset

$21, 22, 24, 32, 57, 59, 59, 76, 83, 95, 99$

Step2: Calculate the mean

$\text{Mean} = \frac{21+22+24+32+57+59+59+76+83+95+99}{11} = \frac{627}{11} = 57$

Step3: Find the median (6th value)

$\text{Median} = 59$

Step4: Identify the mode (most frequent)

$\text{Mode} = 59$

Step5: Calculate the range (max-min)

$\text{Range} = 99 - 21 = 78$

---

Problem 9: 63, 25, 43, 28, 72, 61, 45, 46, 13

Step1: Sort the dataset

$13, 25, 28, 43, 45, 46, 61, 63, 72$

Step2: Calculate the mean

$\text{Mean} = \frac{13+25+28+43+45+46+61+63+72}{9} = \frac{396}{9} = 44$
##…

Answer:

  1. Mean: 64.27, Median: 70, Mode: 32, 94, Range: 71
  2. Mean: 57, Median: 62, Mode: None, Range: 70
  3. Mean: 51, Median: 31, Mode: 31, Range: 67
  4. Mean: 55, Median: 62, Mode: 66, Range: 75
  5. Mean: 46.86, Median: 52, Mode: None, Range: 48
  6. Mean: 64, Median: 62, Mode: None, Range: 57
  7. Mean: 59, Median: 60, Mode: None, Range: 85
  8. Mean: 57, Median: 59, Mode: 59, Range: 78
  9. Mean: 44, Median: 45, Mode: None, Range: 59
  10. Mean: 55, Median: 53, Mode: None, Range: 87