The mean, median and mode of a data set are 19, 21 and 22. Find out which data set follows this.
The mean, median and mode of a data set are 19, 21 and 22. Find out which data set follows this.
The correct option is D 22, 11, 19, 22, 21
Let us find the mean , median and mode of all the data.
For the option,
The data set is 14, 11, 18, 22, 14
Mean = sum of all datanumber of data
= 14+11+18+22+145
= 795
= 15.8
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get
11, 14, 14, 18, 22
Median = 14
The mode of the data set is the value or values that occur most often.
Hence, mode = 14.
Mean, median and mode of the data set are 15.8, 14 and 14 respectively.
This does not match the given set of values.
The next data set is 14, 11, 17, 22, 11
Mean = sum of all datanumber of data
= 14+11+17+22+115
= 755
= 15
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get
11, 11, 14, 17, 22
Median = 14
The mode of the data set is the value or values that occur most often.
Hence, mode = 11.
Mean, median and mode of the data set are 15, 14 and 11 respectively.
This does not match the given set of values.
The next data set is 14, 22, 23, 22, 11
Mean = sum of all datanumber of data
= 14+22+23+22+115
= 925
= 18.4
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get,
11, 14, 22, 22, 23
Median = 22
The mode of the data set is the value or values that occur most often.
Hence, mode = 22.
Mean, median and mode of the data set are 18.4, 22and 22 respectively.
This does not match the given set of values.
The next data set is 22, 11, 19, 22, 21
Mean = sum of all datanumber of data
= 22+11+19+22+215
= 955
= 19
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get
11, 19, 21, 22, 22
Median = 21
The mode of the data set is the value or values that occur most often.
Hence, mode = 22
Mean, median and mode of the data set are 19, 21 and 22 respectively.
This set of values matches the given set of values of mean , median and mode.
Hence, the data set 22, 11, 19, 22, 21 gives the mean, median and mode, 19, 21 and 22 respectively.
Let us find the mean , median and mode of all the data.
For the option,
The data set is 14, 11, 18, 22, 14
Mean = sum of all datanumber of data
= 14+11+18+22+145
= 795
= 15.8
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get
11, 14, 14, 18, 22
Median = 14
The mode of the data set is the value or values that occur most often.
Hence, mode = 14.
Mean, median and mode of the data set are 15.8, 14 and 14 respectively.
This does not match the given set of values.
The next data set is 14, 11, 17, 22, 11
Mean = sum of all datanumber of data
= 14+11+17+22+115
= 755
= 15
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get
11, 11, 14, 17, 22
Median = 14
The mode of the data set is the value or values that occur most often.
Hence, mode = 11.
Mean, median and mode of the data set are 15, 14 and 11 respectively.
This does not match the given set of values.
The next data set is 14, 22, 23, 22, 11
Mean = sum of all datanumber of data
= 14+22+23+22+115
= 925
= 18.4
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get,
11, 14, 22, 22, 23
Median = 22
The mode of the data set is the value or values that occur most often.
Hence, mode = 22.
Mean, median and mode of the data set are 18.4, 22and 22 respectively.
This does not match the given set of values.
The next data set is 22, 11, 19, 22, 21
Mean = sum of all datanumber of data
= 22+11+19+22+215
= 955
= 19
For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.
Let us arrange the data in ascending order. We get
11, 19, 21, 22, 22
Median = 21
The mode of the data set is the value or values that occur most often.
Hence, mode = 22
Mean, median and mode of the data set are 19, 21 and 22 respectively.
This set of values matches the given set of values of mean , median and mode.
Hence, the data set 22, 11, 19, 22, 21 gives the mean, median and mode, 19, 21 and 22 respectively.
