Question

2. The runs scored in a cricket match by 11 players is as follows: 9,23,0,32,14,17,55,49,67,14,6 Find the mean, median and mode of this data.​

Answer 1

Answer:

• The Mean, Median and Mode are 26, 17 and 14 respectively.

Step-by-step explanation:

Given,

• The runs scored in a cricket match by 11 players is as follows: 9, 23, 0, 32, 14, 17, 55, 49, 67, 14 and 6.

To Find,

• The Mean, Median and Mode of this data.

Solution,

Finding Mean,

Mean = Sum of The Observation / Number of Observation

• ➤ Mean = (9 + 23 + 0 + 32 + 14 + 17 + 55 + 49 + 67 + 14 + 6)/11
• ➤ Mean = 286/11
• ➤ Mean = 26

The Mean of This Observation is 26.

Finding Median,

Step 1,

Arrange this data in Ascending or descending order. We Get,

0, 6, 9, 14, 14, 17, 23, 32, 49, 55, 67

Step 2,

There are odd number of terms.

So,

Median = [(n + 1)/2]th term

where n is the number of terms

• ➤ Median = [(n + 1)/2]th term
• ➤ Median = [(11 + 1)/2]th term
• ➤ Median = [12/2]th term
• ➤ Median = 6th Term
• ➤ Median = 17

Finding Mode,

• Frequency of 0 = 1
• Frequency of 6 = 1
• Frequency of 9 = 1
• Frequency of 14 = 2
• Frequency of 17 = 1
• Frequency of 23 = 1
• Frequency of 32 = 1
• Frequency of 49 = 1
• Frequency of 55 = 1
• Frequency of 67 = 1

Highest Frequency is 2 of 14.

So, The Mode is 14.

Required Answer,

• The Mean is 26.
• The Median is 17.
• The Mode is 14.