Mean, Mode, Median and Range in Real World Problems

Name Grade School

Date Questions10 Score

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

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.

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

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

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

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

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.

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

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

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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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 = 35

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

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

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

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

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

Median = (6+8)/2

∴ Median = 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.

Mean is 71.6364
This data has no mode
Median is 76

Solution

Mean
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 = 71.6364

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

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

Solution

Mean
Mean = Sum of all observations/Number of observations

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

Sum = 1041

Mean = 1041/8

∴ Mean = 130.125

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

Median = (131+131)/2

∴ Median = 131

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

Solution

Mean
Mean = Sum of all observations/Number of observations

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

Sum = 116

Mean = 116/7

∴ Mean = 16.5714

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

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

Solution

Mean
Mean = Sum of all observations/Number of observations

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

Sum = 1140

Mean = 1140/7

∴ Mean = 162.8571

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, Mode, Median and Range in Real World Problems: Worksheets, Online Test and Calculators