Mean, mode, median and range in real world problems worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of **statistics**.

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1

Find the mean of the following data. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45 and 39

2

The heights (in centimeter) of 10 students in a class are 110, 122, 128, 112, 129, 118, 130, 118, 134 and 120. Find the range of the heights.

3

Find the mode of the following data. 22, 20, 26, 23, 22, 29, 22, 23 and 23

4

Find the mode of the following data. 1, 2, 3, 4, 5, 6, 0, 7, 8, 9 and 10

5

Find the median of the following data. 12, 14, 23, 25, 34, 11, 42, 45, 32, 22 and 44

6

Find the median of the following data. 10, 6, 8, 3, 5, 6, 4, 9, 12 and 13

7

The marks in mathematics obtained by students are. 56, 48, 58, 60, 54, 76, 84, 92, 82, 98 and 80. Find the mean, median and mode.

8

The weight of 8 chocolate bars in grams are 131, 132, 125, 131, 130, 132, 133 and 127. Find the mean, median and mode.

9

Find the mean, mode, median from the following table

Game | Rugby | Soccer | Basketball | Archery | Tennis | Volleyball | Baseball |

Number of Students | 10 | 20 | 14 | 12 | 25 | 13 | 22 |

10

Find the mean, mode, median from the following table

Students | David | Alex | John | Peter | George | Jack | Oscar |

Height (in centimeter) | 168 | 165 | 166 | 165 | 155 | 161 | 160 |

Answers Key

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1

Find the mean of the following data. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45 and 39

Mean is 35

Solution

Mean = Sum of all observations/Number of observations

Mean = (34+23+10+45+44+47+35+37+41+30+28+32+45+39)/ 14

Sum = 490

Mean = 490/14

∴ Mean = 352

The heights (in centimeter) of 10 students in a class are 110, 122, 128, 112, 129, 118, 130, 118, 134 and 120. Find the range of the heights.

Range of the heights of students is 24 centimeter

Solution

Range = Highest observation(Max)-Lowest observation(Min)

Highest observation (Max)=134,

Lowest observation (Min)=110.

Range = (134-110) centimeter

∴ Range of the heights of students is 24 centimeter

Highest observation (Max)=134,

Lowest observation (Min)=110.

Range = (134-110) centimeter

∴ Range of the heights of students is 24 centimeter

3

Find the mode of the following data. 22, 20, 26, 23, 22, 29, 22, 23 and 23

Mode of the data is 23 and 22

Solution

Mode = observation that occurs most often.

Arranging the numbers with same values together we get

20, 22, 22, 22, 23, 23, 23, 26, 29

23 and 22 occurs most number of times

∴ Mode = 23 and 22

Arranging the numbers with same values together we get

20, 22, 22, 22, 23, 23, 23, 26, 29

23 and 22 occurs most number of times

∴ Mode = 23 and 22

4

Find the mode of the following data. 1, 2, 3, 4, 5, 6, 0, 7, 8, 9 and 10

This data has no mode

Solution

Mode = observation that occurs most often.

Arranging the numbers with same values together we get

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

There is no observation that occurs most often.

∴ This data has no mode

Arranging the numbers with same values together we get

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

There is no observation that occurs most often.

∴ This data has no mode

5

Find the median of the following data. 12, 14, 23, 25, 34, 11, 42, 45, 32, 22 and 44

Median is 25

Solution

Arrange the given data in ascending order, we get

11, 12, 14, 22, 23, 25, 32, 34, 42, 44, 45

The number of observation is 11 which is odd.

∴ Median = middle observation

∴ Median = 25

11, 12, 14, 22, 23, 25, 32, 34, 42, 44, 45

The number of observation is 11 which is odd.

∴ Median = middle observation

∴ Median = 25

6

Find the median of the following data. 10, 6, 8, 3, 5, 6, 4, 9, 12 and 13

Median is 7

Solution

Arrange the given data in ascending order, we get

3, 4, 5, 6, 6, 8, 9, 10, 12, 13

The number of observation is 10 which is even.

∴ Median = average of the two middle observations

3, 4, 5, 6, 6, 8, 9, 10, 12, 13

The number of observation is 10 which is even.

∴ Median = average of the two middle observations

Median = (6+8)/2

∴ Median = 77

The marks in mathematics obtained by students are. 56, 48, 58, 60, 54, 76, 84, 92, 82, 98 and 80. Find the mean, median and mode.

Mean is 71.6364

This data has no mode

Median is 76

This data has no mode

Median is 76

Solution**Mean**

Mean = Sum of all observations/Number of observations

**Mode**

Mode = observation that occurs most often.

Arranging the numbers with same values together we get

48, 54, 56, 58, 60, 76, 80, 82, 84, 92, 98

There is no observation that occurs most often.

∴ This data has no mode

**Median**

Arrange the given data in ascending order, we get

48, 54, 56, 58, 60, 76, 80, 82, 84, 92, 98

The number of observation is 11 which is odd.

∴ Median = middle observation

∴ Median = 76

Mean = Sum of all observations/Number of observations

Mean = (56+48+58+60+54+76+84+92+82+98+80)/ 11

Sum = 788

Mean = 788/11

∴ Mean = 71.6364Mode = observation that occurs most often.

Arranging the numbers with same values together we get

48, 54, 56, 58, 60, 76, 80, 82, 84, 92, 98

There is no observation that occurs most often.

∴ This data has no mode

Arrange the given data in ascending order, we get

48, 54, 56, 58, 60, 76, 80, 82, 84, 92, 98

The number of observation is 11 which is odd.

∴ Median = middle observation

∴ Median = 76

8

The weight of 8 chocolate bars in grams are 131, 132, 125, 131, 130, 132, 133 and 127. Find the mean, median and mode.

Mean is 130.125

Mode of the data is 131 and 132

Median is 131

Mode of the data is 131 and 132

Median is 131

Solution**Mean**

Mean = Sum of all observations/Number of observations

**Mode**

Mode = observation that occurs most often.

Arranging the numbers with same values together we get

125, 127, 130, 131, 131, 132, 132, 133

131 and 132 occurs most number of times

∴ Mode = 131 and 132

**Median**

Arrange the given data in ascending order, we get

125, 127, 130, 131, 131, 132, 132, 133

The number of observation is 8 which is even.

∴ Median = average of the two middle observations

Mean = Sum of all observations/Number of observations

Mean = (131+132+125+131+130+132+133+127)/ 8

Sum = 1041

Mean = 1041/8

∴ Mean = 130.125Mode = observation that occurs most often.

Arranging the numbers with same values together we get

125, 127, 130, 131, 131, 132, 132, 133

131 and 132 occurs most number of times

∴ Mode = 131 and 132

Arrange the given data in ascending order, we get

125, 127, 130, 131, 131, 132, 132, 133

The number of observation is 8 which is even.

∴ Median = average of the two middle observations

Median = (131+131)/2

∴ Median = 1319

Find the mean, mode, median from the following table

Game | Rugby | Soccer | Basketball | Archery | Tennis | Volleyball | Baseball |

Number of Students | 10 | 20 | 14 | 12 | 25 | 13 | 22 |

Mean is 16.5714

This data has no mode

Median is 14

This data has no mode

Median is 14

Solution**Mean**

Mean = Sum of all observations/Number of observations

**Mode**

Mode = observation that occurs most often.

Arranging the numbers with same values together we get

10, 12, 13, 14, 20, 22, 25

There is no observation that occurs most often.

∴ This data has no mode

**Median**

Arrange the given data in ascending order, we get

10, 12, 13, 14, 20, 22, 25

The number of observation is 7 which is odd.

∴ Median = middle observation

∴ Median = 14

Mean = Sum of all observations/Number of observations

Mean = (10+20+14+12+25+13+22)/ 7

Sum = 116

Mean = 116/7

∴ Mean = 16.5714Mode = observation that occurs most often.

Arranging the numbers with same values together we get

10, 12, 13, 14, 20, 22, 25

There is no observation that occurs most often.

∴ This data has no mode

Arrange the given data in ascending order, we get

10, 12, 13, 14, 20, 22, 25

The number of observation is 7 which is odd.

∴ Median = middle observation

∴ Median = 14

10

Find the mean, mode, median from the following table

Students | David | Alex | John | Peter | George | Jack | Oscar |

Height (in centimeter) | 168 | 165 | 166 | 165 | 155 | 161 | 160 |

Mean is 162.8571

Mode of the data is 165

Median is 165

Mode of the data is 165

Median is 165

Solution**Mean**

Mean = Sum of all observations/Number of observations

**Mode**

Mode = observation that occurs most often.

Arranging the numbers with same values together we get

155, 160, 161, 165, 165, 166, 168

165 occurs most number of times

∴ Mode = 165

**Median**

Arrange the given data in ascending order, we get

155, 160, 161, 165, 165, 166, 168

The number of observation is 7 which is odd.

∴ Median = middle observation

∴ Median = 165

Mean = Sum of all observations/Number of observations

Mean = (168+165+166+165+155+161+160)/ 7

Sum = 1140

Mean = 1140/7

∴ Mean = 162.8571Mode = observation that occurs most often.

Arranging the numbers with same values together we get

155, 160, 161, 165, 165, 166, 168

165 occurs most number of times

∴ Mode = 165

Arrange the given data in ascending order, we get

155, 160, 161, 165, 165, 166, 168

The number of observation is 7 which is odd.

∴ Median = middle observation

∴ Median = 165

Online Test

Start my Challenge

Find the mean of the following data. 22, 38, 16, 32, 96, 56, 1 and 87

Find the mode of the following data. 20, 20, 22, 28, 30, 26, 26 and 26

Find the median of the following data. 99, 35, 87, 6, 11, 37, 54, 34, 83 and 90

Find the mean, mode, median from the following 18, 18, 10, 16, 10, 17 and 18.

Find the mean, mode, median from the following 170, 174, 178, 178, 151, 158, 177 and 158.

Find the mode of the following data. 14, 15, 16, 12, 19, 10 and 19

Find the median of the following data. 91, 97, 24, 35, 5, 99, 19, 9 and 66