Question

find the mode and mean of 2 3 5 7 9 11​

Answer 1

Answer:

mean = 18.5

Step-by-step explanation:

2+3+5+7+9+11/5 = 18.5

and there is no mode because ll numbers are single

Answer 2

Given:

A set of numbers 2, 3, 5, 7, 9, and 11.

To Find:

The mean and mode of the given data are?

Solution:

1. Let X1, X2, X3, .., Xn be n observations. The mean of the n observations is given by the formula,

=> Mean = ( X1 + X2 + X3 + .. + Xn)/n

2. The mode is defined as the most frequently occurring value in a given set of data.

=> If all the elements in the given set are repeated only once then, the mode of the given data does not exist or the given data has no mode.

3. Calculation of mean,

=> Total number of values = 6,

=> Mean = ( 2 + 3 + 5 + 7 + 9 + 11 )/6,

=> Mean = (37)/6,

=> Mean = 6.166.

4. Calculation of mode,

=> The value 2 has been repeated for 1 time,

=> The value 3 has been repeated for 1 time,

=> The value 5 has been repeated for 1 time,

=> The value 7 has been repeated for 1 time,

=> The value 9 has been repeated for 1 time,

=> The value 11 has been repeated for 1 time.

=> As all the values are repeated only for 1 time, the mode of the given data does not exist (OR) the given data has no mode.

Therefore, the mean of the given data is 6.166 and the mode of the given data does not exist.