**Question 1: **The following data shows the number of children in fifty families in a
neighborhood. Tally the data on a line Plot and find the range, median
and mode of the data set.

** Solution: **
**The Line Plot for the data is shown below:**The minimum and maximum data values are 1 and 5. Hence the range of the data set = 5 - 0 = 5.

The data value 2 has maximum number of frequencies = 15. Hence the mode of the data = 2.

After crossing equal number X's on either side, the remaining two middle X's stand on the data value 2.

Hence the median of the data set = 2.

**Question 2: **The following Line Plot displays the Quiz scores in a class of 27 students. Identify the clusters,

gaps and outliers if present from the graph.

** Solution: **

The Quiz scores seems to be concentrated between 6 and 8. Hence the three scores 6,7 and 8 form a cluster.

No
frequencies are seen for scores 4 and 5. Thus the scores 4 and 5 form a
gap. We need not consider the possible scores 0,1 and 2 as the minimum
value shown on the graph is 3. A lone student has scored only 3,thus
making this value an outlier.