Question

In a survey of 10 households, the number of children was found to be4, 1, 5, 4, 3, 7, 2, 3, 4, 1(a) State the mode.(b) Calculate(i) the mean number of children per household(ii) the median number of children per household.(c) A researcher says: "The mode seems to be the best average to represent the data inthis survey." Give ONE reason to support this statement.​

Answer 1

Answer:

(a) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

(b) Mode Value is = 4

   (i) Mean Value is = 3.4

   (ii) Median Value is = 3.5

(c)The mode is the number that occurs most often in a data set

Step-by-step explanation:

(b)

First We need to arrange the given values in ascending order and we should pick the value that is most repeating. Here Value 4 is repeating mostly.

{1, 1, 2, 3, 3, 4, 4, 4, 5, 7}

So the Mode = 4

(i)

Mean = Sum of Observations / Total number of Observations

Mean = (x1 + x2……. xn) / n

so Mean = (1+1+2+3+3+4+4+4+5+7)/10 = 34/10 = 3.4

(ii)

Median means first the given numbers should be kept in ascending order.

Here when we placed 10 households in Ascending order we get as

{1, 1, 2, 3, 3, 4, 4, 4, 5, 7}

Now we have to pick the middle number as here we have the even number we have to pick 2 middle numbers and have to average for them.

3 and 4 are medians so

Median = 3+4/2 = 7/2 = 3.5

Median = 3.5

Answer 2

Answer:

B - 3

Step-by-step explanation: - 5437234